Results 1 to 10 of about 333 (35)
Filtrations on Springer fiber cohomology and Kostka polynomials. [PDF]
Lett Math Phys, 2018 We prove a conjecture which expresses the bigraded Poisson-de Rham homology of the nilpotent cone of a semisimple Lie algebra in terms of the generalized (one-variable) Kostka polynomials, via a formula suggested by Lusztig. This allows us to construct a
Bellamy G, Schedler T.
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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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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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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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The Bernstein-Sato b-Function of the Space of Cyclic Pairs [PDF]
, 2015 We compute the Bernstein-Sato polynomial of $f$, a function which given a pair $(M,v)$ in $X = M_n(\mathbf{C}) \times \mathbf{C}^n$ tests whether $v$ is a cyclic vector for $M$.
Walters, Robin
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On a question of Demailly-Peternell-Schneider
, 2012 This note aims to give an affirmative answer to an open question posed by Demailly-Peternell-Schneider [DPS] in 2001 and recently by Peternell [P] again.
Chen, Meng, Zhang, Qi
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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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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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Weak positivity via mixed Hodge modules
, 2014 We prove that the lowest nonzero piece in the Hodge filtration of a mixed Hodge module is always weakly positive in the sense of Viehweg.Comment: 9 ...
Schnell, Christian
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