BourbakiV1, Istex, Corpus, bibRecord, 002189

Moduli for principal bundles over algebraic curves: II

Identifieur interne : 002189 ( Istex/Corpus ); précédent : 002188; suivant : 002190

Moduli for principal bundles over algebraic curves: II

Auteurs : A. Ramanathan

Source :

Proceedings of the Indian Academy of Sciences - Mathematical Sciences [ 0370-0089 ] ; 1996-11-01.

RBID : ISTEX:A592D30A0A50DE5EC3B9F58711E3733E07AA1838

English descriptors

KwdEn :
- Adjoint, Adjoint representation, Affine, Algebra, Algebra structure, Algebra structures, Algebraic, Algebraic curves, Ample line bundle, Coarse moduli scheme, Commutative, Commutative diagram, Compact riemann surface, Embedding, Exact sequence, Finite type, Functor, Functors, Geometric quotient, Good quotient, Irreducible, Isomorphic, Isomorphism, Isomorphism classes, Line bundle, Line bundles, Modulo, Modulus, Morphism, Morphisms, Natural action, Open subscheme, Open subset, Parametrized, Principal bundles, Projective, Quotient, Ramanathan, Reductive, Representable, Resp, Semisimple, Semistable, Semistable points, Semistable vector bundles, Seshadri, Sheaf, Spec, Structure group, Subgroup, Subscheme, Subset, Surjective, Tdte, Topological, Topological type, Trivially, Universal families, Universal family, Universal property, Universal space, Universal spaces, Vector bundle, Vector bundles, compact Riemann surface, geometric invariant theory, reductive algebraic groups.
Teeft :
- Adjoint, Adjoint representation, Affine, Algebra, Algebra structure, Algebra structures, Algebraic, Algebraic curves, Ample line bundle, Coarse moduli scheme, Commutative, Commutative diagram, Compact riemann surface, Embedding, Exact sequence, Finite type, Functor, Functors, Geometric quotient, Good quotient, Irreducible, Isomorphic, Isomorphism, Isomorphism classes, Line bundle, Line bundles, Modulo, Modulus, Morphism, Morphisms, Natural action, Open subscheme, Open subset, Parametrized, Principal bundles, Projective, Quotient, Ramanathan, Reductive, Representable, Resp, Semisimple, Semistable, Semistable points, Semistable vector bundles, Seshadri, Sheaf, Spec, Structure group, Subgroup, Subscheme, Subset, Surjective, Tdte, Topological, Topological type, Trivially, Universal families, Universal family, Universal property, Universal space, Universal spaces, Vector bundle, Vector bundles.

Abstract

Abstract: We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal bundles with a reductive structure group is constructed using Mumford’s geometric invariant theory.

Url:

https://api.istex.fr/document/A592D30A0A50DE5EC3B9F58711E3733E07AA1838/fulltext/pdf

DOI: 10.1007/BF02837697

Links to Exploration step

ISTEX:A592D30A0A50DE5EC3B9F58711E3733E07AA1838

Le document en format XML

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<Para>We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal bundles with a reductive structure group is constructed using Mumford’s geometric invariant theory.</Para>
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<abstract lang="en">Abstract: We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal bundles with a reductive structure group is constructed using Mumford’s geometric invariant theory.</abstract>
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<topic>Principal bundles</topic>
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Moduli for principal bundles over algebraic curves: II

Moduli for principal bundles over algebraic curves: II

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