Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2023; 60(6): 1705-1714

Online first article November 16, 2023      Printed November 30, 2023

https://doi.org/10.4134/BKMS.b220864

Copyright © The Korean Mathematical Society.

Anti-flips of the blow-ups of the projective spaces at torus invariant points

Hiroshi Sato, Shigehito Tsuzuki

8-19-1, Nanakuma, Jonan-ku; 8-19-1, Nanakuma, Jonan-ku

Abstract

We explicitly construct the smooth toric Fano variety which is isomorphic to the blow-up of the projective space at torus invariant points in codimension one by anti-flips.

Keywords: Toric varieties, Fano varieties, blow-ups, anti-flips

MSC numbers: Primary 14M25; Secondary 14E05, 14J45

Supported by: The first author was partly supported by JSPS KAKENHI Grant Number JP18K03262.

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