104 research outputs found

    The Koszul property for spaces of quadrics of codimension three

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    In this paper we prove that, if k is an algebraically closed field of characteristic different from 2, almost all quadratic standard graded k-algebras R such that dimk⁡R2=3 are Koszul. More precisely, up to graded k-algebra homomorphisms and trivial fiber extensions, we find out that only two (or three, when the characteristic of k is 3) algebras of this kind are non-Koszul. Moreover, we show that there exist nontrivial quadratic standard graded k-algebras with dimk⁡R1=4, dimk⁡R2=3 that are Koszul but do not admit a Gröbner basis of quadrics even after a change of coordinates, thus settling in the negative a question asked by Conca

    La perduta chiesa dello Spirito Santo alla Colonna Traiana. Due conferme per Giacinto Gimignani, un inedito di Luigi Garzi e un’ipotesi per Sebastiano Conca

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    Il presente articolo intende ripercorrere le vicende storico-artistiche che videro coinvolto il monastero dello Spirito Santo alla Colonna Traiana, demolito nel 1812 in ottemperanza al piano di riqualificazione urbanistica promosso a Roma dal governo napoleonico. Attraverso l’analisi di fonti edite e inedite, non solo è stato possibile determinare le trasformazioni a cui l’apparato decorativo è stato sottoposto nel corso dei secoli, ma anche rintracciare diverse opere finora considerate disperse. Fondamentale per l’individuazione di questi dipinti è stata la ricostruzione della storia della comunità religiosa all’indomani della demolizione: le monache, infatti, si trasferirono presso il complesso di Santa Pudenziana, portando con loro diverse arredi e suppellettili, tra cui alcune tele della chiesa, a cui erano particolarmente legate per via del loro valore devozionale. Anzitutto, una pala laterale dell’altar maggiore, un Sant’Agostino e il bambino di Giacinto Gimignani, che, già da tempo ricondotta alla mano del pittore pistoiese, grazie alla presente ricostruzione trova conferme circa la provenienza e l’originaria collocazione. Il suo pendant, una Santa Monica e l’angelo dello stesso Gimignani, ha subìto una sorte diversa: immessa sul mercato antiquario in un momento non meglio precisato, essa si trova oggi nelle collezioni della Fondazione Cassa di Risparmio di Pistoia e Pescia. Presso Santa Pudenziana, invece, in un ambiente attualmente adibito a sagrestia, è stato possibile rintracciare anche un inedito Sant’Agostino di Luigi Garzi, ricordato dalle monache in un libro di memorie. Inoltre, nel corso delle ricerche si è individuata nella sacrestia della basilica di Sant’Antonio da Padova all’Esquilino una grande e anonima pala centinata raffigurante una Pentecoste. Non è dato sapere se l’opera abbia mai davvero fatto parte dell’apparato decorativo del monastero dello Spirito Santo; in ogni caso, la tela, databile grossomodo al secondo quarto del XVIII secolo, appare ascrivibile su base stilistica alla mano di Sebastiano Conca

    Return to sport/activity after total ankle arthroplasty

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    The surgical treatment of end-stage ankle osteoarthritis (OA) is still demanding, with total ankle arthroplasty (TAA) and ankle arthrodesis (AA) as operative options. Particularly, the debate intensifies when considering postoperative return to sports and physical activities. This review aims to synthesize current research on these surgical interventions in relation to sports participation, athletic performance, and types of sports that can be tolerated postoperatively. Moreover, the review analyzes different surgical techniques used in TAA and evaluates patient-specific factors that influence the likelihood of returning to sports. The findings have considerable implications for clinicians in patient counseling and setting realistic postoperative expectations, particularly for those patients for whom athletic activity is a significant aspect of lifestyle

    Pediatric ACL injuries: navigating the challenges and advancements in surgical reconstruction and rehabilitation strategies

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    INTRODUCTION: ACL reconstruction in pediatric patients presents unique challenges due to the presence of growth plates and the potential for growth disturbances. Various surgical techniques have been developed to address these concerns, including physeal-sparing techniques such as the modified MacIntosh procedure and the all-epiphyseal technique, as well as the minimally invasive All Inside Technique. However, the occurrence of growth abnormalities and long-term outcomes in this population require further investigation. EVIDENCE ACQUISITION: This review examines existing literature on growth plate injuries and complications following ACL reconstruction in pediatric patients. A comprehensive search of relevant articles was conducted, including meta -analyses and case series, to gather evidence on the incidence and types of growth disturbances, surgical techniques employed, and functional outcomes. EVIDENCE SYNTHESIS: The analysis reveals that growth disturbances after ACL reconstruction can manifest as limb overgrowth, limb shortening, and angular malformation. Limb overgrowth appears to be independent of the surgical technique used, while limb shortening may result from misplacement of bone blocks or hardware across the growth plates. Valgus malalignment is the most common deformity observed. Physeal-sparing and transphyseal techniques show similar rates of growth abnormalities, highlighting the need for caution in surgical decision -making. CONCLUSIONS: ACL reconstruction in pediatric patients requires careful consideration of growth plate preservation and choice of surgical technique. While favorable functional outcomes and high patient satisfaction have been reported, further investigation through randomized controlled trials is needed to address methodological limitations and refine the management of ACL injuries in this population. Proper rehabilitation and guidance are crucial for a successful return to sports and minimizing the risk of re -injury. Future research should focus on understanding the risk factors, technical features, and underlying mechanisms associated with growth disturbances to develop strategies that minimize these complications and optimize outcomes for young athletes

    Cane d’un filosofo, cane d’un eretico. Appunti sulla fortuna cristiana del cane “sillogistico"

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    The author studies some aspects of the Christian fortune of Chrysippus' "syllogistical dog", from Late antiquity to the byzantine ag

    Els orígens de la paremiologia catalana contemporània

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    In this contribution the author deals with the compilations of proverbs in the XVIII century and within the Catalan sphere of influence. These were the products of lexicographic interest produced by the Illustration throughout Europe

    Canonical Cohen-Macaulay property and Lyubeznik numbers under Gröbner deformations

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    In this note we draw some interesting consequences of the recent results on squarefree Gröbner degenerations obtained by Conca and the second author

    Multidegrees, prime ideals, and non-standard gradings

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    We study several properties of multihomogeneous prime ideals. We show that the multigraded generic initial ideal of a prime has very special properties, for instance, its radical is Cohen-Macaulay. We develop a comprehensive study of multidegrees in arbitrary positive multigraded settings. In these environments, we extend the notion of Cartwright-Sturmfels ideals by means of a standardization technique. Furthermore, we recover or extend important results in the literature, for instance: we provide a multidegree version of Hartshorne's result stating the upper semicontinuity of arithmetic degree under flat degenerations, and we give an alternative proof of Brion's result regarding multiplicity-free varieties.Comment: to appear in Advances in Mathematic

    L’Espill de Jaume Roig: una lectura mèdica

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    En moltes ocasions els estudis de l’Espill de Jaume Roig s’han centrat exclusivament en els aspectes misògins de l’obra, la qual cosa ha impedit aprofundir en altres aspectes que, en certa mesura, poden fins i tot alleugerir aquesta càrrega. És per això que ens proposem, en primer lloc, situar l’autor valencià en el nou paradigma teòric de la formació escolàstica, i, en segon lloc, comprovar en quin grau els coneixement teòrics d’aquesta formació, molt presents en l’Espill, contribueixen o no a una relectura menys connotada de l’obra. In many cases, studies on the Espill of Jaume Roig focused exclusively on the misogynist aspects of the work, which has prevented further other aspects that, maybe, may alleviate this burden. That is why we propose, first, to locate the Valencian author on the new theoretical paradigm of scholastic education, and secondly, check the extent to which knowledge of the theoretical training, present in the Espill: that will contribute or not to rreading the work less connoted

    Ammonits de l'Aptià inferior de la península Ibèrica. Bioestatigrafia i aportacions a l'estudi del Oceanic Anoxic Event 1a

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    [cat] Aquesta tesi doctoral tracta sobre el registre d'ammonits de l'Aptià inferior de la península Ibèrica (Conca del Maestrat, Domini Prebètic, Conca de Salou-Garraf, Conca Basco-Cantàbrica i Conca d'Organyà) on es proposen cinc biozonacions regionals per cada zona d'estudi que són sintetitzades en una global per l'Aptià inferior de la península Ibèrica. La biozonació global es contrasta amb la biozonació d'ammonits mediterrània estàndard per a aquest període de temps, l'Aptià inferior. La biozonació proposta per a l'Aptià inferior de la península Ibèrica, proposada en aquesta tesi doctoral, és més precisa que l'estàndard estant constituïda pel mateix nombre de zones (Deshayesites oglanlensis, Deshayesites forbesi, Deshayesites deshayesi i Dufrenoyia furcata) i cinc subzones (Deshayesites luppovi, Roloboceras hambrovi, Deshayesites grandis, Dufrenoyia furcata i Dufrenoyia dufrenoyi) a diferència de l'estàndard que únicament té una subzona (Deshayesites grandis). Es concreta l'edat de les formacions Margues del Forcall i Villarroya de los Pinares de la Conca del Maestrat i es precisa substancialment el coneixement cronostratigràfic anterior a la present tesi. A la Conca de Salou-Garraf es millora la cronostratigrafia de les unitats Margues de Vallcarca i Calcàries del Farreny. Pel que fa a la Conca Basco-Cantàbrica, es concreten les edats de les formacions Errenaga i Patrocinio. Finalment a la Conca d'Organyà es precisa l'edat de la Formació Margues de Cabó. Per primera vegada s'ha caracteritzat el Esdeveniment anòxic oceànic 1a (OAE 1a) a la Conca del Maestrat mitjançant el registre d'isòtops estables de carboni 13 (δ13C). S'ha calibrat l'edat de l'OAE 1a amb ammonits, a la Conca del Maestrat, el Domini Prebètic i la Conca Basco-Cantàbrica, atribuint-lo a la part mitjana-alta de la biozona Deshayesites forbesi. A la Conca del Maestrat i el Domini Prebètic s'ha realitzat un acurat calibratge biostratigràfic d'aquest registre isotòpic de l'Aptià inferior. Com a fet destacable, en el Domini Prebètic s'ha caracteritzat una petita però notable excursió, cap a valors menors, en la base de la biozona Dufrenoyia furcata que es pot reconèixer també en algunes seccions franceses de l'Aptià inferior (Plataforma Provençal i a la Conca Vocontiana).[eng] This thesis is about the lower Aptian ammonite record of the Iberian Peninsula (Maestrat Basin, Prebetic Domain, Salou-Garraf Basin, Basque-Cantabrian Basin and Organyà Basin). The author propose a five regional biozones for each study area that are synthesized into a global one. The global biozonation contrasts with the Mediterranean standard ammonite biozonation for this period of time, the lower Aptian. The proposal biozonation for the lower Aptian of the Iberian Peninsula is more accurate … [+]than the standard being established by the same number of zones (Deshayesites oglanlensis, Deshayesites forbesi, Deshayesites deshayesi and Dufrenoyia furcata) and five subzones (Deshayesites luppovi, Roloboceras hambrovi, Deshayesites grandis, Dufrenoyia furcata and Dufrenoyia dufrenoyi) unlike the standard is only one subzone (Deshayesites grandis). This thesis has clarified the age of the formations Margas del Forcall and Villarroya de los Pinares of the Maestrat Basin. In Salou-Garraf Basin improving chronostratigraphic knowledge of the units Margas de Vallcarca and Calcàries del Farreny. In addition the Basque-Cantabrian Basin the ages of the Formations Errenaga and Patrocinio have been precise. Finally, in Organyà Basin, specifying the age of the Cabó and Prada formations. For the first time we characterized the Oceanic Anoxic Event 1a (OAE 1a) in the Maestrat Basin by means the record of the stable isotopes of carbon 13 (δ13C). The age of OAE 1a are calibrated with ammonites in Maestrat Basin, Prebetic Domain and Basque-Cantabrian Basin, in the upper middle part of the Deshayesites forbesi zone. I also precise the biostratigraphic calibration of this isotopic record of the lower Aptian with ammonite biozonation in Maestrat Basin and Prebetic Domain. In addition a remarkable fact, in Prebetic Domain has been marked a small but conspicuous excursion, toward lower values, at the base of the Dufrenoyia furcata zone can be recognized also in some French sections of the lower Aptian
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