Del Pezzo surfaces over Dedekind schemes

Details Del Pezzo surfaces over Dedekind schemes Del Pezzo surfaces over Dedekind schemes

1995-05-31

arxiv.org/abs/alg-geom/9505036v1

Mathematics

Algebraic Geometry

AMSTeX

Scientific paper

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.

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