摘要翻译:
考虑曲线函数域上的光滑对数Fano变型。假设边界有正法束。在曲线上选择一个积分模型。在去除基曲线上显式有限点集后,积分点是Zariski稠密的。
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英文标题:
《Log Fano varieties over function fields of curves》
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作者:
Brendan Hassett and Yuri Tschinkel
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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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一级分类:Mathematics 数学
二级分类:Number Theory 数论
分类描述:Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数,丢番图方程,解析数论,代数数论,算术几何,伽罗瓦理论
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英文摘要:
Consider a smooth log Fano variety over the function field of a curve. Suppose that the boundary has positive normal bundle. Choose an integral model over the curve. Then integral points are Zariski dense, after removing an explicit finite set of points on the base curve.
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PDF链接:
https://arxiv.org/pdf/0705.2714