On singular Fano varieties with a divisor of Picard number one
Abstract
In this paper we study the geometry of mildly singular Fano varieties on which there is an effective prime divisor of Picard number one. Afterwards, we address the case of toric varieties. Finally, we treat the lifting of extremal contractions to universal covering spaces in codimension 1.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2016
- DOI:
- 10.48550/arXiv.1605.08307
- arXiv:
- arXiv:1605.08307
- Bibcode:
- 2016arXiv160508307M
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 35 pages. Final version: to appear in Annali della Scuola Normale Superiore, Classe di Scienze