Restriction properties for the Krull–Schmidt decomposition of vector bundles

DOI10.1142/S0129167X18500222zbMath1401.14187OpenAlexW2788257252MaRDI QIDQ4609456

Mihai Halic

Publication date: 3 April 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x18500222

zbMATH Keywords

vector bundlessplitting criteriaKrull-Schmidt decomposition

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Vanishing theorems in algebraic geometry (14F17) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

• Generalization of Peternell, le Potier and Schneider vanishing theorem
• Splitting criteria for vector bundles on higher-dimensional varieties
• A few splitting criteria for vector bundles
• Homogeneous vector bundles
• Generic free resolutions and a family of generically perfect ideals
• Submanifolds of Abelian varieties
• A very simple proof of Bott's theorem
• Vanishing theorems for ample vector bundles
• Cohomological characterization of vector bundles on Grassmannians of lines
• Splitting criteria for vector bundles on minuscule homogeneous varieties
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Some extensions of Horrocks criterion to vector bundles on Grassmannians and quadrics
• The Noether-Lefschetz theorem for the divisor class group
• On the Krull-Schmidt theorem with application to sheaves
• Complex Analytic Connections in Fibre Bundles
• Vector Bundles on the Punctured Spectrum of a Local Ring

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