Explicit stable models of elliptic surfaces with sections

Details Explicit stable models of elliptic surfaces with sections Explicit stable models of elliptic surfaces with sections

2002-05-03

arxiv.org/abs/math/0205035v1

Mathematics

Algebraic Geometry

Scientific paper

In this note we show how to find the stable model of a one-parameter family of elliptic surfaces with sections. More specifically, we perform the log Minimal Model Program in an explicit manner by means of toric geometry, in each such one parameter family. This way we obtain an explicit combinatorial description of the surfaces that may occur at the boundary of moduli (as well as a new proof of the completeness of the moduli space)

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