546 research outputs found
Catalan numbers and noncommutative Hilbert schemes
No full textWe find an explicit S-n -equivariant bijection between the integral points in a certain zonotope in R- n , combinatorially equivalent to the permutahedron, and the set of m-parking functions of length n. This bijection restricts to a bijection between the regular S n -orbits and (m, n)-Dyck paths, the number of which is given by the Fuss-Catalan number A( n) (m, 1). Our motivation came from studying tilting bundles on noncommutative Hilbert schemes. As a side result we use these tilting bundles to construct a semi-orthogonal decomposition of the derived category of noncommutative Hilbert schemes.We thank Cesar Ceballos for very helpful discussions, in particular for teaching us about parking functions which lead to the simple proof of Corollary 1.6. We further thank him for making us aware of a plethora of incarnations and
variations of Catalan numbers and for providing references. While this work was in its final stages, the second author attended Tudor P ˘a durariu’s interesting lecture in the workshop “Representation theory and flag or quiver varieties” (Paris, June 2022) during which he reported on joint We thank Cesar Ceballos for very helpful discussions, in particular for teaching us about parking functions which lead to the simple proof of Corollary 1.6. We further thank him for making us aware of a plethora of incarnations and variations of Catalan numbers and for providing references. While this work was in its final stages, the second author attended Tudor P ˘a durariu’s interesting lecture in the workshop “Representation theory and
flag or quiver varieties” (Paris, June 2022) during which he reported on join
Catalan numbers and noncommutative Hilbert schemes
No full textWe find an explicit S-n -equivariant bijection between the integral points in a certain zonotope in R- n , combinatorially equivalent to the permutahedron, and the set of m-parking functions of length n. This bijection restricts to a bijection between the regular S n -orbits and (m, n)-Dyck paths, the number of which is given by the Fuss-Catalan number A( n) (m, 1). Our motivation came from studying tilting bundles on noncommutative Hilbert schemes. As a side result we use these tilting bundles to construct a semi-orthogonal decomposition of the derived category of noncommutative Hilbert schemes.We thank Cesar Ceballos for very helpful discussions, in particular for teaching us about parking functions which lead to the simple proof of Corollary 1.6. We further thank him for making us aware of a plethora of incarnations and
variations of Catalan numbers and for providing references. While this work was in its final stages, the second author attended Tudor P ˘a durariu’s interesting lecture in the workshop “Representation theory and flag or quiver varieties” (Paris, June 2022) during which he reported on joint We thank Cesar Ceballos for very helpful discussions, in particular for teaching us about parking functions which lead to the simple proof of Corollary 1.6. We further thank him for making us aware of a plethora of incarnations and variations of Catalan numbers and for providing references. While this work was in its final stages, the second author attended Tudor P ˘a durariu’s interesting lecture in the workshop “Representation theory and
flag or quiver varieties” (Paris, June 2022) during which he reported on join
On cohomological and K-theoretical Hall algebras of symmetric quivers
No full textWe give a brief review of the cohomological Hall algebra CoHA 71 and the K-theoretical Hall algebra KHA 7Z associated to quivers. In the case of symmetric quivers, we show that there exists a homomorphism of algebras (obtained from a Chern character map) 7Z -+ 71 sigma similar to where 71 sigma similar to is a Zhang twist of the completion of 71. Moreover, we establish the equivalence of categories of "locally finite" graded modules 71- Modlf ⠄ 7ZQ- Modlf. Examples of locally finite 71-, resp. 7ZQ-modulesBasic Research Program of the National Research University Higher Schoo
Deformations of quasicoherent sheaves of algebras
No full textAbstractGerstenhaber and Schack [NATO Adv. Sci. Inst. Ser. C, Vol. 247, 1986] developed a deformation theory of presheaves of algebras on small categories. We translate their cohomological description to sheaf cohomology. More precisely, we describe the deformation space of (admissible) quasicoherent sheaves of algebras on a quasiprojective scheme X in terms of sheaf cohomology on X and X×X. These results are applied to the study of deformations of the sheaf DX of differential operators on X. In particular, in case X is a flag variety we show that any deformation of DX, which is induced by a deformation of OX, must be trivial. This result is used in [Lunts, Rosenberg, manuscript], where we study the localization construction for quantum groups
Facing Death Honestly: Author-Developed Psychological Support Practice
No full textThis OSF project documents the author-developed psychological support practice “Facing Death Honestly” (Russian original: «Со смертью на ты»), created by Valery Kravitz between 2021 and 2025.
The practice is designed as a structured psychological support intervention for individuals confronting awareness of life’s finitude due to severe illness, existential crises, or other significant life events.
The project provides documentation of the theoretical foundations, structured session protocol, ethical framework, and supporting materials of the practice.
Author: Valery Kravitz
Affiliation: IsraClinic — Expert Psychiatric Clinic, Tel Aviv, Israel
ORCID: https://orcid.org/0009-0009-0299-5367
Archived publication (Zenodo DOI): https://doi.org/10.5281/zenodo.1893679
Koszul Algebras of two generators and a Np property over a ruled surface
No full textThesis (PhD) - Indiana University, Mathematics, 2006This dissertation will discuss Koszul algebras and Koszul type Np property. It is a basic problem of homological algebra to compute cohomology algebras of various augmented algebras. One of main purpose is to find the conditions that make algebra Koszul and to find some conditions on Hilbert series of the Koszul algebras. The other purpose is to find conditions which make a line bundle satisfy Np on a projective variety over an algebraically closed field. First consider quadratic algebras with two generator. We classify the quadratic algebras with two generator and investigate conditions under which these quadratic algebras are Koszul algebras. It turns out that one can formulate these conditions in terms of the dimensions of homogeneous degree two and three parts of the algebras. Whether an algebra is a Poincar´e-Birkhoff-Witt algebra or not depends not only on the presentation of the algebra, but also on the field. Second consider the Koszul-type concepts of the syzygies of varieties. Mark L. Green invented the Np property of line bundles on a projective variety. We show that line bundles L and Lk+p satisfy the property Np if L is a globally generated ample line bundle on a projective variety such that H1(X, Ls) = 0 for all s 1. We also sharpen a result of Park's work on a smooth complex projective surface
Psychoergonomic Method of Clinical Psychiatry (2016–2026 Clinical Validation)
No full textThe Psychoergonomic Method of Clinical Psychiatry is an authorial clinical methodology developed by Valery Kravitz and validated through ten years of structured psychiatric practice (2016–2026).
The method integrates clinical psychiatry, personalized diagnostics, long-term therapeutic observation, and multidisciplinary collaboration.
License Notice:
This work is distributed under CC BY-ND 4.0 International.
No derivative works are permitted.
Any modification, adaptation, transformation, or implementation of the method requires explicit written permission from the author.
This OSF project contains the official reference document of the method and links to its DOI-registered publication (Zenodo, 2026).
Author: Valery Kravitz
Institutional base: IsraClinic® – Private Psychiatric Expert Clinic (Israel
METHOD OF REMINISCENCE IN VALERY BRUSOV’S MESSAGES ADDRESSED TO WOMEN
No full textThe author of the article considers Valery Brusov’s messages addressed to women, where the method of reminiscence is visible. It should be mentioned that the poet fully exploited the above-mentioned method in this literary genre
Categorical resolution of singularities
No full textAbstractBuilding on the concept of a smooth DG algebra we define the notion of a smooth derived category. We then propose the definition of a categorical resolution of singularities. Our main example is the derived category D(X) of quasi-coherent sheaves on a scheme X. We prove that D(X) has a canonical categorical resolution if the base field is perfect and X is a separated scheme of finite type with a dualizing complex
Transformations of respiratory epitelium in fibrous stage of acute respiratory distress-syndrome = Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома
No full textNovikov Nikolay, Tumansky Valery, Fedotov Vasiliy. transformations of respiratory epitelium in fibrous stage of acute respiratory distress-syndrome = Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома. Journal of Health Sciences. 2014;4(14):117-120. ISSN 1429-9623 / 2300-665X.
http://ojs.ukw.edu.pl/index.php/johs/article/view/2014%3B4%2814%29%3A117-120
http://journal.rsw.edu.pl/index.php/JHS/article/view/2014%3B4%2814%29%3A117-120
https://pbn.nauka.gov.pl/works/512256
DOI: 10.5281/zenodo.13322
http://dx.doi.org/10.5281/zenodo.13322
The journal has had 5 points in Ministry of Science and Higher Education of Poland parametric evaluation. Part B item 1107. (17.12.2013).
© The Author (s) 2014;
This article is published with open access at Licensee Open Journal Systems of Radom University in Radom, Poland
Open Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium,
provided the original author(s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License
(http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited.
This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non commercial
use, distribution and reproduction in any medium, provided the work is properly cited.
Conflict of interest: None declared. Received: 15.11.2014. Revised 05.12.2014. Accepted: 10.12.2014.
transformations of respirAtory epitelium in fibrous stage of acute respiraTory distress-syndrome
Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома
Nikolay Yu Novikov
Crimean State Medical University, Simferopol, Russian Federation
Valery Alexeevich Tumansky
Zaporozhye State Medical University, Ukraine
Vasiliy Vladimirovich Fedotov
Crimean State Medical University, Simferopol, Russian Federation
Corr. Author
Новиков Николай Юльевич
докт. мед. наук, доцент ГУ «КГМУ имени С.И.Георгиевского», РФ, г. Симферополь
Е-mail: [email protected]
Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома
АННОТАЦИЯ
Цель. Определение признаков эпителиально-мезенхимальной трансформации (ЭМТ) для установления ее роли в развитии фиброза легких у пациентов с острым респираторным дистресс-синдромом. Метод. Иммуногистохимическое окрашивание гистологических срезов. Результат. В большинстве альвеолоцитов обнаруживается экспрессия маркеров эпителиального иммунофенотипа. Признаки мезенхимальной дифференцировки определяются в единичных альвеолоцитах. Вывод. ЭМТ не играет существенной роли в формировании фиброза респираторного отдела при ОРДС.
Ключевые слова: респираторный эпителий; легкие; дистресс-синдром.
transformations of respirAtory epitelium in fibrous stage of acute respiraTory distress-syndrome
ABSTRACT
The epithelial-mesenchimal transition of respiratory epithelium in Acute Respiratory Distress Syndrome (ARDS) was goal of investigation. Postmortem immunohistochemical stain of respiratory part histological sections was methods. Result: epithelial immunofenotype of epithelial cells was determinate in more cases. Conclusion. The epitelial-mesenchimal transition does not play main role to lungs fibrosis in ARDS.
Keywords: respiratory epitelium; lungs; distress-syndrome.Novikov Nikolay, Tumansky Valery, Fedotov Vasiliy. Transformations of respiratory epitelium in fibrous stage of acute respiratory distress-syndrome = Трансформация респираторного эпителия в фазу фиброза острого респираторного дистресс-синдрома. Journal of Health Sciences. 2014;4(14):117-120. ISSN 1429-9623 / 2300-665X.
http://ojs.ukw.edu.pl/index.php/johs/article/view/2014%3B4%2814%29%3A117-120
http://journal.rsw.edu.pl/index.php/JHS/article/view/2014%3B4%2814%29%3A117-120
https://pbn.nauka.gov.pl/works/512256
DOI: 10.5281/zenodo.13322
http://dx.doi.org/10.5281/zenodo.1332
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