Spectral curves and the generalised theta divisor.
Spectral curves and the generalised theta divisor.
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谱曲线和广义 theta 除数。
DOI：
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发表时间：
1989
期刊：
影响因子：
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通讯作者：
A. Beauville
中科院分区：
文献类型：
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作者：
S. Ramanan;M. Narasimhan;A. Beauville
设X是特征为0的代数闭域上的光滑不可约射影曲线，g = gx <$2是它的亏格。本文证明了X上秩为n且任意固定次数的一般向量B ndle可以由X的n-单（分歧）覆盖上的直线B ndle的直像得到。由此，我们推出有关的结果，线性系统的模空间上的向量丛的秩为n和度为0。
Let X be a smooth, irreducible, projective curve over an algebraically closed field of characteristic 0 and let g = gx ̂ 2 be its genus. We show in this paper that a generic vector b ndle on X of rank n and any fixed degree can be obtained s the direct image of a line b ndle on an n-sheeted (ramified) covering of X. From this we deduce results concerning linear Systems on the moduli space of vector bundles of rank n and degree 0.