Hacon generic vanishing
WebHacon’s proof of generic vanishing theorems via Fourier– Mukai transforms for abelian varieties. References: A derived category approach to generic vanishing, J. Reine Angew. Math. 575 (2004), 173–187. Su Xiaoyu. Mar 09. Original proof of the generic vanishing … WebHacon’s generic vanishing theorem for higher direct images of canonical sheaves, which is already one of the most relevant applications of the Fourier–Mukai methods in the present context. The last three sections are devoted respectively to the work of Ein and Lazarsfeld, to the Chen–Hacon characterization of abelian ...
Hacon generic vanishing
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http://library.msri.org/books/Book59/files/67pare.pdf WebOct 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 …
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] … 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
WebTHE GENERIC VANISHING THEOREM WENQI LI Abstract. The generic vanishing theorem asserts that general topologically trivial line bundles on a compact K¨ahler … WebGeneric vanishing fails for singular varieties and in characteristic p>0 Christopher D. Hacon and Sándor J. Kovács 14. Deformations of elliptic Calabi–Yau manifolds János Kollár ... Christopher D. Hacon, University of Utah Christopher D. Hacon is a distinguished professor at the University of Utah. He is a recipient of the 2007 Clay ...
Webspectacular developments. Ein and Lazarsfeld, using generic vanishing theorems of Green and Lazarsfeld, proved in [EL] 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 de-termined in [H1] exactly when this bound is attained and ... naturopath golden bcWebWe 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 … naturopath glenmore parkWebIn this paper, we prove a strengthening of the generic vanishing result in characteristic \(p>0\) given in Hacon and Patakfalvi (Am J Math 138(4):963–998, 2016). naturopath gisborneWeb2 CHRISTOPHER D. HACON AND SANDOR J KOV´ ACS´ ... (1.3) may be interpreted as saying that generic vanishing does not extended to singular varieties in a non-trivial … marion county property tax records searchWebOur 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 marion county property tax search wvWeb4 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 naturopath golden groveWebHacon’s proof using the Fourier-Mukai transform and some results of mixed Hodge theory (Kollar’s vanishing theorem) and we left this as a blackbox. Actually the most important … marion county property transfers