Nonsingular sections to Euclidean bundles
نویسندگان
چکیده
منابع مشابه
Vector Bundles with Sections
Classical Brill-Noether theory studies, for given g, r, d, the space of line bundles of degree d with r + 1 global sections on a curve of genus g. After reviewing the main results in this theory, and the role of degeneration techniques in proving them, we will discuss the situation for higher-rank vector bundles, where even the most basic questions remain wide open. Focusing on the case of rank...
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Higher-rank Brill-Noether, at its most basic, seeks to answer the following question: how many global sections can a (semistable) vector bundle of given rank and degree have on general curve of genus g? When there exist vector bundles with a k-dimensional space of sections, one then asks how many such bundles there are. The classical rank-1 version was settled completely in the 1970’s and 1980’...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1969
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1969-0253356-4