171,030 research outputs found

    Testi nella storia

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    Coordinamento e direzione dell'opera con C. Segre, ed elaborazione diretta di molte parti nel vol. III, L'Ottocento e IV, Il Novecent

    Equivariant Segre and Verlinde invariants for Quot schemes

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    The problem of studying the two seemingly unrelated sets of invariants forming the Segre and the Verlinde series has gone through multiple different adaptations including a version for the virtual geometries of Quot schemes on surfaces and Calabi-Yau fourfolds. Our work is the first one to address the equivariant setting for both C2\mathbb{C}^2 and C4\mathbb{C}^4 by examining higher degree contributions which have no compact analogue. (1) For C2\mathbb{C}^2, we work mostly with virtual geometries of Quot schemes. After connecting the equivariant series in degree zero to the existing results of the first author for compact surfaces, we extend the Segre-Verlinde correspondence to all degrees and to the reduced virtual classes. Apart from it, we conjecture an equivariant symmetry between two different Segre series building again on previous work. (2) For C4\mathbb{C}^4, we give further motivation for the definition of the Verlinde series. Based on empirical data and additional structural results, we conjecture the equivariant Segre-Verlinde correspondence and the Segre-Segre symmetry analogous to the one for C2\mathbb{C}^2

    curatela dell'edizione di "Don Chisciotte della Mancia"

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    Commento che aggiorna per il pubblico italiano la bibliografia e i principali approcci analitici al 'Don Chisciotte'

    Higher secant varieties of Pn×Pm\mathbb{P}^n \times \mathbb{P}^m embedded in bi-degree (1,d)(1,d)

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    Let X(1,d)(n,m)X^{(n,m)}_{(1,d)} denote the Segre-Veronese embedding of Pn×Pm\mathbb{P}^n \times \mathbb{P}^m via the sections of the sheaf O(1,d)\mathcal{O}(1,d). We study the dimensions of higher secant varieties of X(1,d)(n,m)X^{(n,m)}_{(1,d)} and we prove that there is no defective sths^{th} secant variety, except possibly for nn values of ss. Moreover when (m+dd){m+d \choose d} is multiple of (m+n+1)(m+n+1), the sths^{th} secant variety of X(1,d)(n,m)X^{(n,m)}_{(1,d)} has the expected dimension for every ss

    Milan, the city of prêt à porter

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    Italian prêt à porter, which reached the peak of its success in the 80s, is not a phenomenon which appeared from nowhere, so to speak, as White writes in an important text devoted to the renaissance of Italian fashion (2000:1-7), but has its roots in the post war period, especially between 1945 and 1964, when, also thanks to American funding, the textile-clothing industry started up again at full capacity. While it is right to speak of continuity regarding the capacity to produce clothing - Italian ready to wear definitely certainly did not appear out of the blue, but is the outcome of textile and industrial development –, in terms of the significance which fashion was to assume, it was a radically new phenomenon. In the early 70s, a turning point took place in the history of modern fashion and Milan was at the very centre of this process which gave rise to the prêt à porter of the fashion designers, a fashion system which was to enjoy international commercial and media success

    Cronologia [di Cesare Segre]

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    Biografia e opere di Cesare Segr
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