A note on toric degeneration of a Bott-Samelson-Demazure-Hansen variety
Algebraic Geometry
2021-04-13 v2
Abstract
In this paper we study the geometry of toric degeneration of a Bott-Samelson-Demazure-Hansen (BSDH) variety. We give some applications to BSDH varieties. Precisely, we classify Fano, weak Fano and log Fano BSDH varieties and their toric limits in Kac-Moody setting. We prove some vanishing theorems for the cohomology of tangent bundle (and line bundles) on BSDH varieties. We also recover the results in arXiv:1604.01998, by toric methods.
Keywords
Cite
@article{arxiv.1710.06300,
title = {A note on toric degeneration of a Bott-Samelson-Demazure-Hansen variety},
author = {B. Narasimha Chary},
journal= {arXiv preprint arXiv:1710.06300},
year = {2021}
}
Comments
21 pages; minor revisions. arXiv admin note: substantial text overlap with arXiv:1706.02139