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

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.

42 pages, 7 figures

References in corpus (1)

• Polynomial bounds for Arakelov invariants of Belyi curves

Cited by in corpus (1)

• Models of curves over DVRs