Projective and birational geometry of Grassmannians and other special varieties
Algebraic Geometry
2017-05-17 v1
Abstract
In the first part of the thesis, we study a classical invariant of projective varieties, the secant defectivity. The second part is devoted to modern algebraic geometry, we study the birational geometry of blow-ups of Grassmannians at points.
Keywords
Cite
@article{arxiv.1705.05673,
title = {Projective and birational geometry of Grassmannians and other special varieties},
author = {Rick Rischter},
journal= {arXiv preprint arXiv:1705.05673},
year = {2017}
}
Comments
141 pages, Ph.D. Thesis submitted to IMPA. Based on the work of this thesis I was able to submit three preprints: Non-Secant Defectivity via Osculating Projections; On non-secant defectivity of Segre-Veronese varieties; Spherical blow-ups of Grassmannians and Mori Dream Spaces. The present thesis has more examples and some proofs are more detailed than on the papers