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

Christian Curilla*, Jan Steffen Müller

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
201 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)219-268
Number of pages50
JournalKyoto Journal of Mathematics
Volume60
Issue number1
Early online date5-Feb-2020
DOIs
Publication statusPublished - 2020

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