Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-09T21:53:16.188Z Has data issue: false hasContentIssue false

Strong cohomological rigidity of toric varieties

Published online by Cambridge University Press:  25 September 2017

Suyoung Choi
Affiliation:
Department of Mathematics, Ajou University, 206, World cup-ro, Yeongtong-gu, Suwon 16499, Republic of Korea ([email protected])
Seonjeong Park
Affiliation:
Center for Applications of Mathematical Principles, National Institute for Mathematical Sciences, 70 Yuseong-daero 1689 beon-gil, Yuseong-gu, Daejeon 34047, Republic of Korea ([email protected])

Extract

Every cohomology ring isomorphism between two non-singular complete toric varieties (respectively, two quasitoric manifolds), with second Betti number 2, is realizable by a diffeomorphism (respectively, homeomorphism).

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)