Local cohomology and \(\mathcal D\)-affinity in positive characteristic

DOI10.1016/S1631-073X(02)02616-XzbMath1016.14009arXivmath/0210171MaRDI QIDQ1565917

Niels Lauritzen, Masaki Kashiwara

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210171

zbMATH Keywords

positive characteristicflag manifolds\({\mathcal D}\)-modulelocal cohomologynon-vanishing\({\mathcal D}\)-affinity

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Grassmannians, Schubert varieties, flag manifolds (14M15) Finite ground fields in algebraic geometry (14G15) Local cohomology and commutative rings (13D45)

Related Items

On Smooth Projective D-Affine Varieties ⋮ Local cohomology modules supported at determinantal ideals ⋮ On the Frobenius direct image of the structure sheaf of a homogeneous projective variety ⋮ On the D-affinity of quadrics in positive characteristic ⋮ On the D-affinity of flag varieties in positive characteristic ⋮ Computing the support of local cohomology modules ⋮ A vanishing theorem for differential operators in positive characteristic ⋮ Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety in prime characteristic ⋮ Un théorème de Beilinson-Bernstein pour les $\mathcal{D}$-modules arithmétiques ⋮ Global $F$-regularity of Schubert varieties with applications to $\mathcal {D}$-modules ⋮ D-affinity and rational varieties

Cites Work

• Unnamed Item
• On the vanishing of local cohomology modules
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Über Differentialoperatoren und \({\mathcal D}\)-Moduln in positiver Charakteristik. (On differential operators and \({\mathcal D}\)- modules in positive characteristic)
• The Grothendieck-Cousin complex of an induced representation

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