Inequality of Bogomolov-Gieseker type on arithmetic surfaces
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Publication:1331763
DOI10.1215/S0012-7094-94-07427-9zbMath0854.14012arXivalg-geom/9305005MaRDI QIDQ1331763
Publication date: 6 January 1997
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/alg-geom/9305005
arithmetic Riemann-Roch theoremBott-Chern characteristicgeometric Bogomolov-Gieseker inequalityHermite-Einstein-bundlesKähler-Einstein-bundles
Characteristic classes and numbers in differential topology (57R20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Topological properties in algebraic geometry (14F45)
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Cites Work
- Unnamed Item
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- Characteristic classes for algebraic vector bundles with Hermitian metric. II
- Characteristic classes for algebraic vector bundles with Hermitian metric. I
- Calculus on arithmetic surfaces
- Reduction theory using semistability
- Maximal subbundles of vector bundles on a curve
- Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
- Arithmetic intersection theory
- Siegel's theorem in the compact case
- Eine Bemerkung zur Reduktionstheorie quadratischer Formen
- Moduli of stable sheaves. I
- Moduli of stable sheaves. II
- Openness of a family of torsion free sheaves
- The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
- Shafarevich maps and plurigenera of algebraic varieties
- A new proof of a theorem of Narasimhan and Seshadri
- An arithmetic Riemann-Roch theorem
- Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
- Stable and unitary vector bundles on a compact Riemann surface
- Analytic torsion for complex manifolds
- Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
- Heights and Arakelov's Intersection Theory
- On a Theorem of Bogomolov on Chern Classes of Stable Bundles
- HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
- Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127)
- On the existence of hermitian-yang-mills connections in stable vector bundles
