Spherical blow-ups of Grassmannians and Mori dream spaces

JOURNAL OF ALGEBRA

卷:494

Article

Massarenti, Alex¹  Rischter, Rick² 

[1] Univ Fed Fluminense, Rua Mario Santos Braga, BR-24020140 Niteroi, RJ, Brazil

[2] Univ Fed Itajuba UNIFEI, Ave BPS 1303, BR-37500903 Itajuba, MG, Brazil

关键词: Mori dream spaces;    Weak Fano varieties;    Spherical varieties;    Blow-ups;    Grassmannians;   

DOI  :  10.1016/j.jalgebra.2017.09.037

来源: Elsevier

【 摘 要 】

In this paper we classify weak Fano varieties that can be obtained by blowing-up general points in prime Fano varieties. We also classify spherical blow-ups of Grassmannians in general points, and we compute their effective cone. These blow-ups are, in particular, Mori dream spaces. Furthermore, we compute the stable base locus decomposition of the blow-up of a Grassmannian in one point, and we show how it is determined by linear systems of hyperplanes containing the osculating spaces of the Grassmannian at the blown-up point, and by the rational normal curves in the Grassmannian passing through the blown-up point. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free