Projects per year
Abstract
We use a polyhedral criterion for the existence of diagonal splittings to investigate which toric varieties X are diagonally split. Our results are stated in terms of the vector configuration given by primitive generators of the 1-dimensional cones in the fan defining X. We show, in particular, that X is diagonally split at all q if and only if this configuration is unimodular, and X is not diagonally split at any q if this configuration is not 2-regular. We also study implications for the possibilities for the set of q at which a toric variety X is diagonally split.
Original language | English |
---|---|
Pages (from-to) | 1911-1920 |
Number of pages | 11 |
Journal | Proceedings of the american mathematical society |
Volume | 146 |
Issue number | 5 |
Early online date | 7 Dec 2017 |
DOIs | |
Publication status | Published - May 2018 |
Fingerprint
Dive into the research topics of 'Diagonal splittings of toric varieties and unimodularity'. Together they form a unique fingerprint.Projects
- 1 Finished
-
Positivity properties of toric line bundles and tropical divisors
27/01/14 → 29/12/16
Project: Research