Restriction of stable sheaves and representations of the fundamental group

DOI10.1007/BF01389140zbMath0525.55012MaRDI QIDQ585565

A. Ramanathan, Vikram B. Mehta

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143143

zbMATH Keywords

complete intersection curveirreducible unitary representation of fundamental groupstable bundle with zero Chern classesstable sheaf on variety of dimension bigger than one

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Complete intersections (14M10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items

Bruzzo's conjecture, Equivariant stable sheaves and toric GIT, Infinite determinants, stable bundles and curvature, Harder-Narasimhan filtration of the bundles as Frobenius pull-back, Introduction to Nonabelian Hodge Theory, Flat holomorphic connections on principal bundles over a projective manifold, Unitary representations of the fundamental group of orbifolds, Symplectic and Poisson structures of certain moduli spaces. II: Projective representations of cocompact planar discrete groups, Sutured manifolds and polynomial invariants from higher rank bundles, Degenerate, strong and stable Yang-Mills-Higgs pairs, Restriction theorems for \({\mu}\)-(semi)stable framed sheaves, Algebraic integrability of foliations with numerically trivial canonical bundle, Toric sheaves, stability and fibrations, A note on semistable Higgs bundles over compact Kähler manifolds, Vector bundles on real abelian varieties, On the S-fundamental group scheme, Hermitian Yang-Mills connections on pullback bundles, Parabolic bundles on algebraic surfaces. I. The Donaldson--Uhlenbeck compactification, The nonvanishing problem for varieties with nef anticanonical bundle, A Donaldson-Uhlenbeck-Yau theorem for normal varieties and semistable bundles on degenerating families, Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces, Harmonic metrics on Higgs sheaves and uniformization of varieties of general type, From Riemann and Kodaira to modern developments on complex manifolds, On rank 2 vector bundles on Fano manifolds, Twisted cotangent bundle of hyperkähler manifolds (with an appendix by Simone Diverio), Good wild harmonic bundles and good filtered Higgs bundles, Restriction of stable bundles in characteristic 𝑝, Restriction theorems for principal bundles in arbitrary characteristic, Stability of homogeneous principal bundles with a classical group as the structure group, Stable sheaves with twisted sections and the Vafa-Witten equations on smooth projective surfaces, Kobayashi-Hitchin correspondence for tame harmonic bundles. II., STABLE RANK-2 BUNDLES ON CALABI–YAU MANIFOLDS, Restriction of Stable Rank Two Vector Bundles in Arbitrary Characteristic, Parallel transport for vector bundles on 𝑝-adic varieties, Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization, Stability of the tangent bundles of complete intersections and effective restriction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on the instability flag
• Semistable sheaves on projective varieties and their restriction to curves
• On boundedness of families of torsion free sheaves
• Valuative criteria for families of vector bundles on algebraic varieties
• Moduli of stable sheaves. I
• Holomorphic vector bundles on homogeneous spaces
• Stable and unitary vector bundles on a compact Riemann surface
• Space of unitary vector bundles on a compact Riemann surface
• Semisimple group schemes over complete curves
• On a theorem of Lefschetz
• Holomorphic vector bundles on a compact Riemann surface
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Curvature and stability of vector bundles