High-dimensional convex sets arising in algebraic geometry
arXiv:1906.07929 · doi:10.1007/978-3-030-46762-3_14
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.
To appear in GAFA Seminar Notes