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- W2004120007 abstract "Let L be a line bundle on an abstract nonsingular curve C, let V c H°{C,L) be a linear system, and denote by C(d) the symmetric product of d copies of C. There exists a canonically defined C(d)-bundle map: a: V®cfcid) -£L, where EL is a bundle of rank d obtained from L by a so-called symmetriza- tion process. The various degenerary loci of a can be considered as subsecant schemes of CW . Our main result, Theorem 4.2, is given in §4, where we ob- tain a local matrix description of a valid (also) at points on the diagonal in C(rf', and thereby we can determine the completions of the local rings of the secant schemes at arbitrary points. In §5 we handle the special case of giving a local scheme structure to the zero set of a ." @default.
- W2004120007 created "2016-06-24" @default.
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- W2004120007 date "1989-01-01" @default.
- W2004120007 modified "2023-09-23" @default.
- W2004120007 title "Local properties of secant varieties in symmetric products. I" @default.
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- W2004120007 doi "https://doi.org/10.1090/s0002-9947-1989-0929672-x" @default.
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