Results 11 to 20 of about 365 (63)
Weak positivity for Hodge modules [PDF]
, 2016 We prove the weak positivity of the kernels of Kodaira-Spencer- type maps for pure Hodge module extensions of generically defined variations of Hodge structure.Comment: 11 pages; final version, with a few corrections and expository ...
Popa, Mihnea, Wu, Lei
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t-structures for relative D-modules and t-exactness of the de Rham functor [PDF]
, 2018 This paper is a contribution to the study of relative holonomic D-modules. Contrary to the absolute case, the standard t-structure on holonomic D-modules is not preserved by duality and hence the solution functor is no longer t-exact with respect to the
Fiorot, Luisa +1 more
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Algebraic connections vs. algebraic D-modules: regularity conditions. [PDF]
, 2016 open2noThis paper is devoted to the comparison ot the notions of regularity for algebraic connections and regularity for (holonomic) algebraic D-modulesopenMaurizio, Cailotto; Luisa, FiorotCailotto, Maurizio; Fiorot ...
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Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity [PDF]
Épijournal de Géométrie AlgébriqueWahl's local Euler characteristic measures the local contributions of a singularity to the usual Euler characteristic of a sheaf. Using tools from toric geometry, we study the local Euler characteristic of sheaves of symmetric differentials for isolated ...
Nils Bruin, Nathan Ilten, Zhe Xu
doaj +1 more source
Kodaira dimension and zeros of holomorphic one-forms [PDF]
, 2013 We show that every holomorphic one-form on a smooth complex projective variety of general type must vanish at some point. The proof uses generic vanishing theory for Hodge D-modules on abelian varieties.Comment: 9 pages; final version, to appear in Ann ...
Popa, Mihnea, Schnell, Christian
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D-modules and projective stacks [PDF]
, 2018 We study twisted D-modules on the weighted projective stacks. We determine for which values of the twist and the weight the global section functor is an equivalence, thus, proving a version of Beilinson-Bernstein Localisation Theorem.Comment: 22 pages ...
Haloui, Karim El, Rumynin, Dmitriy
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Summands of theta divisors on Jacobians [PDF]
, 2019 We show that the only summands of theta divisors on Jacobians of curves and on intermediate Jacobians of cubic threefolds are the obvious powers of the curve and the Fano surface of lines on the threefold.
Krämer, Thomas
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The level of pairs of polynomials [PDF]
, 2019 Given a polynomial $f$ with coefficients in a field of prime characteristic $p$, it is known that there exists a differential operator that raises $1/f$ to its $p$th power. We first discuss a relation between the `level' of this differential operator and
Boix, Alberto F. +2 more
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Determinant bundle in a family of curves, after A. Beilinson and V. Schechtman
, 1999 In Comm. Math. Physics 118 (1988), 651-701, A. Beilinson and V. Schechtman define on the total space of a smooth family of curves a so-called trace complex associated to a vector bundle, the 0-th relative cohomology of which is the Atiyah algebra of the ...
Esnault, Hélène, Tsai, I-Hsun
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On Dwork cohomology and algebraic D-modules
, 2003 After works by Katz, Monsky, and Adolphson-Sperber, a comparison theorem between relative de Rham cohomology and Dwork cohomology is established in a paper by Dimca-Maaref-Sabbah-Saito in the framework of algebraic D-modules.
Baldassarri, Francesco, D'Agnolo, Andrea
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