摘要翻译:
通过计算有限平坦模型模空间的有理点,计算了有限域上秩为2的常数群格式的绝对分枝的$p$-adic域的整数环上有限平坦模型同构类的个数。
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英文标题:
《Finite flat models of constant group schemes of rank two》
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作者:
Naoki Imai
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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: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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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 calculate the number of the isomorphism class of the finite flat models over the ring of integers of an absolutely ramified $p$-adic field of constant group schemes of rank two over finite fields, by counting the rational points of a moduli space of finite flat models.
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PDF链接:
https://arxiv.org/pdf/0812.0490