Stable vector bundles on an algebraic surface

Masaki Maruyama

Type: Article

Publication Date: 1975-09-01

Citations: 76

DOI: https://doi.org/10.1017/s0027763000016688

Abstract

Let X be a non-singular projective algebraic curve over an algebraically closed field k. D. Mumford introduced the notion of stable vector bundles on X as follows; DEFINITION ([7]). A vector bundle E on X is stable if and only if for any non-trivial quotient bundle F of E, where deg ( • ) denotes the degree of the first Chern class of a vector bundles and r( • ) denotes the rank of a vector bundle.

Locations

Nagoya Mathematical Journal - View - PDF
Project Euclid (Cornell University) - View - PDF

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