Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896531 | Journal of Algebra | 2018 | 24 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alex Massarenti, Rick Rischter,