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arXiv · 1906.07929

High-dimensional convex sets arising in algebraic geometry

Yanir A. Rubinstein
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Abstract

We introduce an asymptotic notion of positivity in algebraic geometry that turns out to be related to some high-dimensional convex sets. The dimension of the convex sets grows with the number of birational operations. In the case of complex surfaces we explain how to associate a linear program to certain sequences of blow-ups and how to reduce verifying the asymptotic log positivity to checking feasibility of the program.

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Yanir A. Rubinstein. 2019-06-19. High-dimensional convex sets arising in algebraic geometry. https://doi.org/10.1007/978-3-030-46762-3_14

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