Projectively flat log smooth pairs
Algebraic Geometry
2021-12-13 v1
Abstract
In this article, we study projective log smooth pairs with numerically flat normalized logarithmic tangent bundle. Generalizing works of Jahnke-Radloff and Greb-Kebekus-Peternell, we show that, passing to an appropriate finite cover and up to isomorphism, these are the projective spaces or the log smooth pairs with numerically flat logarithmic tangent bundles blown-up at finitely many points away from the boundary. On the other hand, the structure of log smooth pairs with numerically flat logarithmic tangent bundle is well understood: they are toric fiber bundles over finite \'etale quotients of abelian varieties.
Cite
@article{arxiv.2112.05449,
title = {Projectively flat log smooth pairs},
author = {Stéphane Druel},
journal= {arXiv preprint arXiv:2112.05449},
year = {2021}
}