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arXiv · 1605.04548

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

Christian Curilla·J. Steffen Müller
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Abstract

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.

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Christian Curilla, J. Steffen Müller. 2016-05-15. The minimal regular model of a Fermat curve of odd squarefree exponent and its dualizing sheaf. https://doi.org/10.1215/21562261-2018-0013

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