Uniqueness of equivariant compactifications of C^n by a Fano manifold of Picard number 1Reportar como inadecuado



 Uniqueness of equivariant compactifications of C^n by a Fano manifold of Picard number 1


Uniqueness of equivariant compactifications of C^n by a Fano manifold of Picard number 1 - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Descargar gratis o leer online en formato PDF el libro: Uniqueness of equivariant compactifications of C^n by a Fano manifold of Picard number 1
Let X be an $n$-dimensional Fano manifold of Picard number 1. We study how many different ways X can compactify the complex vector group C^n equivariantly. Hassett and Tschinkel showed that when X = P^n with n \geq 2, there are many distinct ways that X can be realized as equivariant compactifications of C^n. Our result says that projective space is an exception: among Fano manifolds of Picard number 1 with smooth VMRT, projective space is the only one compactifying C^n equivariantly in more than one ways. This answers questions raised by Hassett-Tschinkel and Arzhantsev-Sharoyko.



Autor: Baohua Fu; Jun-Muk Hwang

Fuente: https://archive.org/







Documentos relacionados