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arXiv 1605.04548math.NT
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无奇平方指数Fermat曲线的极小正则模型及其对偶层

The minimal regular model of a Fermat curve of odd squarefree exponent and its dualizing sheaf

Christian Curilla, J. Steffen Müller

摘要:

构造了$N$阶分圆整数上无奇平方复合指数$N$的Fermat曲线的极小正则模型.作为应用,我们计算了该模型的对偶层的算术自相交的上界和下界。

英文摘要:

We construct the minimal regular model of the Fermat curve of odd squarefree composite exponent $N$ over the $N$-th cyclotomic integers. As an application, we compute upper and lower bounds for the arithmetic self-intersection of the dualizing sheaf of this model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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