Hacon generic vanishing
Webby Green and Lazarsfeld (and further sharpened by Chen, Hacon, Pareschi, Popa, Schnell, Simpson and others). On the other hand, in positive characteristic very little is known about generic vanishing and m.A.d. varieties. By a result of the first ... GENERIC VANISHING AND ORDINARY ABELIAN VARIETIES 965 the vanishing Hi(Râ(DA{Rja*ujx))) = 0 WebChristopher D. Hacon Born: February 14, 1970, Manchester England Nationality: English, Italian and USA. Address: Department of Mathematics, University of Utah ... [58] Generic vanishing in characteristic p>0 and the characteriza-tion of ordinary abelian varieties (with Z. Patakfalvi. arXiv:1310.2996 Amer. Jour. Math. Math. Volume 138, Number 4 ...
Hacon generic vanishing
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WebDec 1, 2024 · This is the first blog aim to introduce the generic vanishing theorem, follows Hacon’s proof. He use the Fourier-Mukai transform and something about Abelian … WebJan 5, 2015 · Generic vanishing fails for singular varieties and in characteristic p > 0; By C. D. Hacon, University of Utah, S. J. Kovács, University of Washington Edited by …
WebThe term \generic vanishing" refers to a collection of theorems about the coho-mology of line bundles with trivial rst Chern class. The rst results of this type ... Hacon [Hac04, x4] showed that if f: X!Ais a morphism from a smooth pro-jective variety to an abelian variety, then the higher direct image sheaves Rjf! X WebAug 20, 2003 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
WebAbstract. We prove a formal criterion for generic vanishing, in the sense originated by Green and Lazarsfeld and pursued further by Hacon, but in the context of an arbitrary … WebThe term “generic vanishing” refers to a collection of theorems about the coho-mology of line bundles with trivial first Chern class. The first results of this type were obtained by Green and Lazarsfeld in the late 1980s [GL87, GL91]; they were ... Hacon [Hac04, §4] showed that if f: X → A is a morphism from a smooth pro- ...
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WebOur main tools are the generic vanishing the-orems of Green and Lazarsfeld and the characterization of theta divisors given by Hacon in Corollary 3.4 of Fourier transforms, generic vanishing theorems and polarizations of abelian varieties. 1. INTRODUCTION The purpose of this paper is to show how the generic vanishing theorems of drake start from the bottomWeb4 BHARGAV BHATT Thus, any abstract statement that is true for all groups will also be true for all group schemes (e.g. it su ces to check compatibility with multiplication when showing that a morphism of schemes is a homomorphism of group drake statue plymouth hoeWebCourse Description In these lectures we will survey the generic vanishing results of Green, Lazarfeld, Hacon, Popa, Pareschi and others and discuss their applications to the study … émondage sherbrookehttp://www-personal.umich.edu/~stevmatt/abelian_varieties.pdf drake station fort collinsWebOct 11, 2013 · We prove a generic vanishing type statement in positive characteristic and apply it to prove positive characteristic versions of Kawamata's theorems: a … drake started from the bottom songWebWe show that there exist smooth surfaces violating Generic Vanishing in any characteristic p ≥ 3. As a corollary, we recover a result of Hacon and Kov´acs, producing … emondlo bus servicesWeband Lazarsfeld, using generic vanishing theorems of Green and Lazarsfeld, proved in [3] that irreducible theta divisors are normal and gave an optimal bound on the dimension of the locus of points of given multiplicity of a multitheta divisor. Hacon determined in [5] exactly when this bound is attained and obtained in [6] results e-mon d-mon class 2000 manual