Results 11 to 20 of about 333 (35)
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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Effective bounds on ampleness of cotangent bundles
, 2019 We prove that a general complete intersection of dimension $n$, codimension $c$ and type $d_1, \dots, d_c$ in $\mathbb{P}^N$ has ample cotangent bundle if $c \geq 2n-2$ and the $d_i$'s are all greater than a bound that is $O(1)$ in $N$ and quadratic in ...
Coskun, Izzet, Riedl, Eric
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Hasse--Schmidt derivations versus classical derivations
, 2020 In this paper we survey the notion and basic results on multivariate Hasse--Schmidt derivations over arbitrary commutative algebras and we associate to such an object a family of classical derivations. We study the behavior of these derivations under the
Narváez-Macarro, L.
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On the center of the ring of differential operators on a smooth variety over $\bZ/p^n\bZ$
, 2011 We compute the center of the ring of PD differential operators on a smooth variety over $\bZ/p^n\bZ$ confirming a conjecture of Kaledin. More generally, given an associative algebra $A_0$ over $\bF_p$ and its flat deformation $A_n$ over $\bZ/p^{n+1}\bZ ...
Allen Stewart +4 more
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On a theorem of Campana and P\u{a}un
, 2017 Let $X$ be a smooth projective variety over the complex numbers, and $\Delta \subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and P\u{a}un: If some tensor power of the ...
Schnell, Christian
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On the de Rham complex of mixed twistor D-modules
, 2012 Given a complex manifold S, we introduce for each complex manifold X a t-structure on the bounded derived category of C-constructible complexes of O_S-modules on X x S.
Claude Sabbah +21 more
core +3 more sources
Relative Riemann-Hilbert correspondence in dimension one
, 2017 We prove that, on a Riemann surface, the functor $\mathrm{RH}^S$ constructed in a previous work as a right quasi-inverse of the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible ...
Fernandes, Teresa Monteiro +1 more
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Exponents of some one-dimensional Gauss-Manin cohomologies
, 2017 In this paper we provide a purely algebraic characterization of the exponents of one-dimensional direct images of a structure sheaf by a rational function, related to the vanishing of the cohomologies of a certain Koszul complex associated with such a ...
Domínguez, Alberto Castaño
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A Takayama-type extension theorem
, 2006 We prove a theorem on the extension of holomorphic sections of powers of adjoint bundles from submanifolds of complex codimension 1 having non-trivial normal bundle. The first such result, due to Takayama, considers the case where the canonical bundle is
Varolin, Dror
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Kontsevich's conjecture on an algebraic formula for vanishing cycles of local systems
, 2013 For a local system and a function on a smooth complex algebraic variety, we give a proof of a conjecture of M. Kontsevich on a formula for the vanishing cycles using the twisted de Rham complex of the formal microlocalization of the corresponding locally
Sabbah, Claude, Saito, Morihiko
core +3 more sources