Frobenius amplitude and strong vanishing theorems for vector bundles. With an appendix by Dennis S. Keeler.
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Publication:1880953
DOI10.1215/S0012-7094-04-12122-0zbMath1067.14018arXivmath/0202129OpenAlexW3098324519MaRDI QIDQ1880953
Publication date: 27 September 2004
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0202129
Vanishing theorems in algebraic geometry (14F17) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)
Related Items (21)
On the hyperbolicity of base spaces for maximally variational families of smooth projective varieties (with an appendix by Dan Abramovich) ⋮ Vanishing and injectivity for Hodge modules and \(\mathbb{R}\)-divisors ⋮ Frobenius amplitude, ultraproducts, and vanishing on singular spaces ⋮ On the D-affinity of quadrics in positive characteristic ⋮ Vanishing for Frobenius twists of ample vector bundles ⋮ Non-Abelian Lefschetz hyperplane theorems ⋮ Castelnuovo-Mumford regularity and computing the de Rham cohomology of smooth projective varieties ⋮ Seshadri constants over fields of characteristic zero ⋮ A Kawamata-Viehweg type formulation of the logarithmic Akizuki-Nakano vanishing theorem ⋮ Line bundles with partially vanishing cohomology ⋮ Arithmetically nef line bundles ⋮ Index conditions and cup-product maps on Abelian varieties ⋮ Canonical maps to twisted rings. ⋮ Ample filters and Frobenius amplitude ⋮ Naïve noncommutative blowing up ⋮ Smoothing of multiple structures on embedded Enriques manifolds ⋮ Rank one sheaves over quaternion algebras on Enriques surfaces ⋮ Kodaira-Saito vanishing via Higgs bundles in positive characteristic ⋮ Noncommutative ampleness from finite endomorphisms ⋮ Generic positivity and foliations in positive characteristic ⋮ Grothendieck-Lefschetz for ample subvarieties
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