Semistable sheaves on homogeneous spaces and abelian varieties

DOI10.1007/BF02861830zbMath0592.14017MaRDI QIDQ1075389

Madhav V. Nori, Vikram B. Mehta

Publication date: 1984

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

abelian varietycomplete homogeneous spacesemistable torsion-free sheaveszero Chern classes

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Abelian varieties and schemes (14K99)

Related Items

On the S-fundamental group scheme. II ⋮ Moduli spaces of \(\Lambda\)-modules on abelian varieties ⋮ Pseudo-effective cones of projective bundles and weak Zariski decomposition ⋮ On the S-fundamental group scheme ⋮ The \(p\)-adic Corlette-Simpson correspondence for abeloids ⋮ Positivity of vector bundles on homogeneous varieties ⋮ On ampleness of vector bundles ⋮ Global Frobenius liftability. I ⋮ When is the Albanese morphism an algebraic fiber space in positive characteristic? ⋮ Unnamed Item ⋮ Semistable sheaves on homogeneous spaces and abelian varieties

Cites Work

• Semi-homogeneous vector bundles on an abelian variety
• Semistable sheaves on homogeneous spaces and abelian varieties
• Stable vector bundles on projective spaces in \(\text{char}p>0\)
• Der Satz von Grauert-Mülich für beliebige semistabile holomorphe Vektorbündel über dem \(n\)-dimensionalen komplex-projektiven Raum
• Valuative criteria for families of vector bundles on algebraic varieties
• Some properties of stable rank-2 vector bundles on \(\mathbb{P}_n\)
• Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe
• On the moduli of vector bundles on an algebraic surface
• Moduli of stable sheaves. II
• Vector bundles on Abelian surfaces
• Duality between D(X) and with its application to picard sheaves
• Vector Bundles Over an Elliptic Curve
• An analogue of Langton's theorem on valuative criteria for vector bundles
• Boundedness of semi-stable sheaves of small ranks
• Désingularisation des variétés de Schubert généralisées
• Stable vector bundles with numerically trivial Chern classes over a hyperelliptic surface
• Stable vector bundles and the frobenius morphism
• Vector Bundles on the Projective Plane
• Stable Vector Bundles on Algebraic Surfaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item