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A specialization inequality for tropical complexes

Published online by Cambridge University Press:  30 April 2021

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

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.

MSC classification

Type
Research Article
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.

References

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