A specialization inequality for tropical complexes
Dustin Cartwright
TL;DR
This paper extends Baker's specialization inequality to higher dimensions by establishing a relation between the linear series of a variety and its tropical complex in the context of semistable degenerations.
Contribution
It generalizes the specialization inequality from curves to arbitrary-dimensional varieties using tropical complexes.
Findings
Proves a new inequality relating linear series and tropical complexes.
Extends Baker's inequality to higher dimensions.
Provides a theoretical framework for tropical degenerations.
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.
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