Stable vector bundles and the frobenius morphism

DOI10.24033/asens.1245zbMath0281.14013OpenAlexW1139672906MaRDI QIDQ4767399

David Gieseker

Publication date: 1973

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1973_4_6_1_95_0

Mathematics Subject Classification ID

Related Items (35)

TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON -ADIQUE ⋮ Perfectoid Spaces: An Annotated Bibliography ⋮ Principal bundles over a curve in positive characteristic. II ⋮ Stable bundles as Frobenius morphism direct image ⋮ The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3 ⋮ Specialization map between stratified bundles and pro-étale fundamental group ⋮ Concerning the semistability of tensor products in Arakelov geometry ⋮ Projective stability of ruled surfaces ⋮ The theorem of Grauert-Mülich-Spindler ⋮ On Frobenius stratification of moduli spaces of rank 4 vector bundles ⋮ Bogomolov's inequality for product type varieties in positive characteristic ⋮ On the S-fundamental group scheme ⋮ Instability of truncated symmetric powers of sheaves ⋮ Examples of stability of tensor products in positive characteristic ⋮ Hilbert-Kunz density functions and \(F\)-thresholds ⋮ Harder-Narasimhan theory for linear codes (with an appendix on Riemann-Roch theory) ⋮ Canonical filtrations and stability of direct images by Frobenius morphisms ⋮ Fundamental group schemes for stratified sheaves ⋮ A criterion of openness of a family of nef line bundles ⋮ Relative Bogomolov’s inequality and the cone of positive divisors on the moduli space of stable curves ⋮ Frobenius-unstable bundles and $p$-curvature ⋮ Error-correcting codes on projective bundles ⋮ Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe ⋮ Simply connected projective manifolds in characteristic \(p>0\) have no nontrivial stratified bundles ⋮ Geometry of algebraic varieties ⋮ On stable and ample vector bundles of rank 2 on curves ⋮ Explicit majorizations of geometric and arithmetic Hilbert-Samuel functions ⋮ On ruled surfaces with big anti-canonical divisor and numerically trivial divisors on weak log Fano surfaces ⋮ Maximal slope of tensor product of Hermitian vector bundles ⋮ Remarks on a conjecture of Hartshorne ⋮ ON THE STRATIFIED VECTOR BUNDLES ⋮ Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3, I ⋮ Rationality of the instability parabolic and related results ⋮ Frobenius pull-back of vector bundles of rank 2 over non-uniruled varieties ⋮ Semistable sheaves on homogeneous spaces and abelian varieties

Cites Work

• Ample vector bundles
• The irreducibility of the space of curves of a given genus
• Ample Vector Bundles on Curves
• On the Behavior of Extensions of Vector Bundles Under the Frobenius Map
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• Unnamed Item

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