Zobrazeno 1 - 10
of 515
pro vyhledávání: '"Generic vanishing"'
Autor:
Vo, Anh Duc
We prove appropriate generic vanishing theorems for singular varieties, generalizing the well-known generic vanishing theorem by Green and Lazarsfeld in [GL87] and the generic vanishing theorem of Nakano type in [PS13]. Our theorem explains the count
Externí odkaz:
http://arxiv.org/abs/2410.11109
Autor:
Liu, Haohao
A Nakano-type generic vanishing result is extended from compact K\"ahler manifolds to manifolds in Fujiki class $\mathcal{C}$, so that smooth proper complex algebraic varieties are covered.
Comment: Comments are welcome!
Comment: Comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2309.09738
Autor:
Baudin, Jefferson
We show that on any Noetherian $F$-finite $\mathbb{F}_p$-scheme, there is an anti-equivalence of categories between Cartier crystals and \'etale perverse $\mathbb{F}_p$-sheaves, commuting with derived proper pushforwards. We use this duality to const
Externí odkaz:
http://arxiv.org/abs/2306.05378
In this paper we prove a new generic vanishing theorem for $X$ a complete homogeneous variety with respect to an action of a connected algebraic group. Let $A, B_0\subset X$ be locally closed affine subvarieties, and assume that $B_0$ is smooth and p
Externí odkaz:
http://arxiv.org/abs/2303.13833
Autor:
Raychaudhury, Debaditya
We study the continuous CM-regularity of torsion-free coherent sheaves on polarized irregular smooth projective varieties $(X,\mathcal{O}_X(1))$, and its relation with the theory of generic vanishing. This continuous variant of the Castelnuovo-Mumfor
Externí odkaz:
http://arxiv.org/abs/2208.13096
Autor:
WANG, YUAN
Publikováno v:
Transactions of the American Mathematical Society, 2017 Dec 01. 369(12), 8559-8585.
Externí odkaz:
https://www.jstor.org/stable/90014261
Akademický článek
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Autor:
Anghel, Nicolae
Publikováno v:
Proceedings of the American Mathematical Society, 1996 Nov 01. 124(11), 3555-3561.
Externí odkaz:
https://www.jstor.org/stable/2161340
We study the arithmetic Fourier transforms of trace functions on general connected commutative algebraic groups. To do so, we first prove a generic vanishing theorem for twists of perverse sheaves by characters, and using this tool, we construct a ta
Externí odkaz:
http://arxiv.org/abs/2109.11961
Akademický článek
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