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A BOUND ON EMBEDDING DIMENSIONS OF GEOMETRIC GENERIC FIBERS release_mz42lu6q7ja6bcgvgfvab67day

by ZACHARY MADDOCK

Published in Forum of Mathematics, Sigma by Cambridge University Press (CUP).

2016  

Abstract

The author finds a limit on the singularities that arise in geometric generic fibers of morphisms between smooth varieties of positive characteristic by studying changes in embedding dimension under inseparable field extensions. This result is then used in the context of the minimal model program to rule out the existence of smooth varieties fibered by certain nonnormal del Pezzo surfaces over bases of small dimension.
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Type  article-journal
Stage   published
Year   2016
Language   en ?
DOI  10.1017/fms.2015.32
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ISSN-L:  2050-5094
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