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摘要翻译：
设X是定义在复数上的不可约光滑射影曲线，S={p_1,p_2,...,p_n}\子集X$一个闭点的有限集，N>1是一个固定整数。对于Z×Z/N中的任意对（r,d）,在X上存在一个抛物线向量丛R_{r,d,*},该向量丛在S上具有抛物线结构，且所有的抛物线权都在Z/N中，该向量丛具有以下性质：取X上任意一个秩为r的抛物线向量丛E_*,其抛物线点包含在S中，所有的抛物线权都在Z/N中，且抛物线度为d。则E_*是抛物半可态的当且仅当从R_{r,d,*}到E_*不存在非零抛物同态。
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英文标题：
《Parabolic Raynaud bundles》
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作者：
Indranil Biswas and Georg Hein
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
Let X be an irreducible smooth projective curve defined over complex numbers, S= {p_1, p_2,...,p_n} \subset X$ a finite set of closed points and N > 1 a fixed integer. For any pair (r,d) in Z X Z/N, there exists a parabolic vector bundle R_{r,d,*} on X, with parabolic structure over S and all parabolic weights in Z/N, that has the following property: Take any parabolic vector bundle E_* of rank r on X whose parabolic points are contained in S, all the parabolic weights are in Z/N and the parabolic degree is d. Then E_* is parabolic semistable if and only if there is no nonzero parabolic homomorphism from R_{r,d,*} to E_*.
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PDF链接：
https://arxiv.org/pdf/0709.2261
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