Some combinatorics of binomial coefficients and the Bloch-Gieseker property for some homogeneous bundles

DOI10.1090/S0002-9947-01-02837-9zbMath0979.14008MaRDI QIDQ2759051

Mei-Chu Chang

Publication date: 10 December 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Chern classBloch-Gieseker property

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Factorials, binomial coefficients, combinatorial functions (05A10) Characteristic classes and numbers in differential topology (57R20)

Uses Software

• Maple

Cites Work

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• Positive polynomials for ample vector bundles
• Relations between certain numerical characters of singularities
• Vector bundles on complex projective spaces
• An example of indecomposable vector bundle of rank \(n-1\) on \(P^n\)
• Monads and moduli of vector bundles
• Some remarks on Buchsbaum bundles
• The positivity of the Chern classes of an ample vector bundle
• A rank 2 vector bundle on P\(^4\) with 15,000 symmetries
• Generalized null correlation bundles
• Varieties of small codimension in projective space
• Examples of Rank Three Vector Bundles on Fivedimensional Projective Space

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