摘要翻译:
本文研究了Hirzebruch曲面$F_e$上的向量丛$E$,使得它们由一个跨越的但不是充分的线丛$M=\mathcal{O}_{F_e}(H+EF)$所引起的扭曲具有自然上同调,即$H^0(F_e,E(tM))>0$隐含$H^1(F_e,E(tM))=0$。
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英文标题:
《Vector bundles on Hirzebruch surfaces whose twists by a non-ample line
bundle have natural cohomology》
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作者:
E. Ballico, F. Malaspina
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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:
Here we study vector bundles $E$ on the Hirzebruch surface $F_e$ such that their twists by a spanned, but not ample, line bundle $M = \mathcal {O}_{F_e}(h+ef)$ have natural cohomology, i.e. $h^0(F_e,E(tM)) >0$ implies $h^1(F_e,E(tM)) = 0$.
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PDF链接:
https://arxiv.org/pdf/0710.3494