摘要翻译:
本文研究椭圆曲线上相干系统的模空间。我们计算了它们的Hodge多项式,并在某些情况下确定了它们的出生型。此外,我们还证明了相干系统的某些模空间是同构的。最后一个结果使用了Hern\'andez Ruiperez和Tejero Prieto提出的相干系统的Fourier-Mukai变换。
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英文标题:
《Hodge polynomials and birational types of moduli spaces of coherent
systems on elliptic curves》
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作者:
H. Lange and P. E. Newstead
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最新提交年份:
2009
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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:
In this paper we consider moduli spaces of coherent systems on an elliptic curve. We compute their Hodge polynomials and determine their birational types in some cases. Moreover we prove that certain moduli spaces of coherent systems are isomorphic. This last result uses the Fourier-Mukai transform of coherent systems introduced by Hern\'andez Ruiperez and Tejero Prieto.
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PDF链接:
https://arxiv.org/pdf/0810.1425