On singular Fano varieties with a divisor of Picard number one

2016/05/26 by Pedro Montero, Montero, Pedro
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1605.08307

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.

Citations

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

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