BROWSE

Related Scientist

dongseon,hwang's photo.

dongseon,hwang
복소기하학연구단
more info

ITEM VIEW & DOWNLOAD

Kähler–Einstein metrics on smooth Fano toroidal symmetric varieties of type AIII

Cited 0 time in webofscience Cited 0 time in scopus
78 Viewed 0 Downloaded
Title
Kähler–Einstein metrics on smooth Fano toroidal symmetric varieties of type AIII
Author(s)
Hong, Kyusik; DongSeon Hwang; Park, Kyeong-Dong
Publication Date
2024
Journal
International Journal of Mathematics, v.35, no.7
Publisher
World Scientific Publishing Co
Abstract
The wonderful compactification Xm of a symmetric homogeneous space of type AIII(2, m) for each m ≥ 4 is Fano, and its blowup Ym along the unique closed orbit is Fano if m ≥ 5 and Calabi–Yau if m = 4. Using a combinatorial criterion for K-polystability of smooth Fano spherical varieties obtained by Delcroix, we prove that Xm admits a Kähler–Einstein metric for each m ≥ 4 and Ym admits a Kähler–Einstein metric if and only if m = 4, 5. © World Scientific Publishing Company.
URI
https://pr.ibs.re.kr/handle/8788114/15273
DOI
10.1142/S0129167X2450023X
ISSN
0129-167X
Appears in Collections:
Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
There are no files associated with this item.

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse