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April 2020 The minimal regular model of a Fermat curve of odd squarefree exponent and its dualizing sheaf
Christian Curilla, J. Steffen Müller
Kyoto J. Math. 60(1): 219-268 (April 2020). DOI: 10.1215/21562261-2018-0013

Abstract

We construct the minimal regular model of the Fermat curve of odd squarefree composite exponent N over the Nth 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. "The minimal regular model of a Fermat curve of odd squarefree exponent and its dualizing sheaf." Kyoto J. Math. 60 (1) 219 - 268, April 2020. https://doi.org/10.1215/21562261-2018-0013

Information

Received: 18 June 2016; Revised: 2 October 2017; Accepted: 3 October 2017; Published: April 2020
First available in Project Euclid: 5 February 2020

zbMATH: 07194832
MathSciNet: MR4065185
Digital Object Identifier: 10.1215/21562261-2018-0013

Subjects:
Primary: 14G40
Secondary: 11D41 , 11G30 , 14H25

Keywords: Arakelov theory , arithmetic intersection theory , Fermat curves , regular models

Rights: Copyright © 2020 Kyoto University

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Vol.60 • No. 1 • April 2020
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