Corpus ID: 119301158

Models of curves over DVRs

  title={Models of curves over DVRs},
  author={Tim Dokchitser},
  journal={arXiv: Number Theory},
  • T. Dokchitser
  • Published 29 June 2018
  • Mathematics
  • arXiv: Number Theory
Let C be a smooth projective curve over a discretely valued field K, defined by an affine equation f(x,y)=0. We construct a model of C over the ring of integers of K using a toroidal embedding associated to the Newton polygon of f. We show that under 'generic' conditions it is regular with normal crossings, and determine when it is minimal, the global sections of its relative dualising sheaf, and the tame part of the first etale cohomology of C. 

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