摘要翻译:
我们研究了节点可约曲线的紧致雅可比的θ因子。我们计算了它的不可约分量,并给出了与光滑曲线的经典Brill-Noether理论一致的几何解释。给出了超椭圆稳定曲线的一些应用。
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英文标题:
《Geometry of the theta divisor of a compactified jacobian》
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作者:
Lucia Caporaso
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最新提交年份:
2008
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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:
We study the theta divisor of the compactified jacobian of a nodal, possibly reducible, curve. We compute its irreducible components and give it a geometric interpretation consistent with the classical Brill-Noether theory of smooth curves. Some applications on hyperelliptic stable curves are appended.
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PDF链接:
https://arxiv.org/pdf/0707.4602