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A specialization inequality for tropical complexes

Part of: Families, fibrations

Published online by Cambridge University Press:  30 April 2021

Dustin Cartwright
Dustin Cartwright*
Affiliation:
Department of Mathematics, University of Tennessee, 227 Ayres Hall, Knoxville, TN37996, USAcartwright@utk.edu
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Abstract

We prove a specialization inequality relating the dimension of the complete linear series on a variety to the tropical complex of a regular semistable degeneration. Our result extends Baker's specialization inequality to arbitrary dimension.

Keywords

tropical complexessemistable degenerationlinear series

MSC classification

Primary: 14D06: Fibrations, degenerations
Type
Research Article
Information
Compositio Mathematica , Volume 157 , Issue 5 , May 2021 , pp. 1051 - 1078
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Copyright
© The Author(s) 2021

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Footnotes

The author was supported by the National Science Foundation award number DMS-1103856 and National Security Agency Young Investigator Grant H98230-16-1-0019.

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