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arXiv · 1907.00543

Toric flat families, valuations, and applications to projectivized toric vector bundles

Kiumars Kaveh·Christopher Manon
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Abstract

Using the notion of a valuation into the semifield of piecewise linear functions, we give a classification of torus equivariant flat families of finite type over a toric variety base, by certain piecewise linear maps between fans. As a consequence we derive a classification of toric vector bundles phrased in terms of tropicalized linear spaces. We use these tools to give a characterization of the Mori dream space property for a projectivized toric vector bundle.

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Kiumars Kaveh, Christopher Manon. 2019-07-01. Toric flat families, valuations, and applications to projectivized toric vector bundles. https://arxiv.org/abs/1907.00543

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