English

Del Pezzo surfaces over Dedekind schemes

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

Let S be a Dedekind scheme with fraction field K. We study the following problem: given a Del Pezzo surface X, defined over K, construct a distinguished integral model of X, defined over all of S. We provide a satisfactory answer if S is a smooth complex curve, and a conjectural answer if X is a cubic Del Pezzo surface over (nearly) arbitrary S.

Keywords

Cite

@article{arxiv.alg-geom/9505036,
  title  = {Del Pezzo surfaces over Dedekind schemes},
  author = {Alessio Corti},
  journal= {arXiv preprint arXiv:alg-geom/9505036},
  year   = {2008}
}

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R2 v1 2026-07-22T07:41:49.730Z