A Transversality Theorem for some Classical Varieties
Algebraic Geometry
2011-11-21 v2
Abstract
In 2009, de Fernex and Hacon proposed a generalization of the notion of the singularities to normal varieties that are not Q-Gorenstein. Based on their work, we generalize Kleiman's transversality theorem to subvarieties with log terminal or log canonical singularities. We also show that some classical varieties, such as generic determinantal varieties, W^r_d for general smooth curves, and certain Schubert varieties in G(k, n) are log terminal.
Cite
@article{arxiv.1111.3273,
title = {A Transversality Theorem for some Classical Varieties},
author = {Chih-Chi Chou},
journal= {arXiv preprint arXiv:1111.3273},
year = {2011}
}
Comments
15 pages