On the S-fundamental group scheme. II

DOI10.1017/S1474748012000011zbMath1252.14028arXiv0912.2623MaRDI QIDQ3167454

Adrian Langer

Publication date: 2 November 2012

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2623

zbMATH Keywords

fundamental grouppositive characteristicnumerically flat bundlescomplete variety

Mathematics Subject Classification ID

Related Items (21)

Abelianization of the \(F\)-divided fundamental group scheme ⋮ Bruzzo's conjecture ⋮ On the abundance theorem for numerically trivial canonical divisors in positive characteristic ⋮ Positivity vs. slope semistability for bundles with vanishing discriminant ⋮ On the fundamental groups of commutative algebraic groups ⋮ Fundamental group schemes of generalized Kummer variety ⋮ Fundamental group schemes of some Quot schemes on a smooth projective curve ⋮ Slopes of \(F\)-isocrystals over abelian varieties ⋮ The \(p\)-adic Corlette-Simpson correspondence for abeloids ⋮ Fundamental group schemes of Hilbert scheme of \(n\) points on a smooth projective surface ⋮ Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors ⋮ Higgs varieties and fundamental groups ⋮ Nonvanishing for 3-folds in characteristic \(p>5\) ⋮ On the \(F\)-fundamental group scheme ⋮ Homogeneous vector bundles over abelian varieties via representation theory ⋮ Recent results on vector bundles, principal bundles and related topics ⋮ An extension of Nori fundamental group ⋮ Fundamental group schemes of \(n\)-fold symmetric product of a smooth projective curve ⋮ Higgs bundles and fundamental group schemes ⋮ Parallel transport for vector bundles on 𝑝-adic varieties ⋮ Fourier-Mukai and autoduality for compactified Jacobians. I

Cites Work

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• Simply connected projective manifolds in characteristic \(p>0\) have no nontrivial stratified bundles
• The fundamental group-scheme
• Semistable sheaves on homogeneous spaces and abelian varieties
• The fundamental group-scheme of an Abelian variety
• Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe
• On the fundamental group scheme
• Semistable sheaves in positive characteristic
• Fundamental group schemes for stratified sheaves
• Monodromy group for a strongly semistable principal bundle over a curve
• Generalized Albanese morphisms

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