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Strong cohomological rigidity of toric varieties

Part of: Differential topology Special varieties

Published online by Cambridge University Press:  25 September 2017

Suyoung Choi  and
Seonjeong Park
Suyoung Choi
Affiliation:
Department of Mathematics, Ajou University, 206, World cup-ro, Yeongtong-gu, Suwon 16499, Republic of Korea (schoi@ajou.ac.kr)
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 (seonjeong1124@gmail.com)
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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).

Keywords

quasitoric manifoldcomplete non-singular toric varietystrong cohomological rigiditytoric topology

MSC classification

Secondary: 57S25: Groups acting on specific manifolds 57R19: Algebraic topology on manifolds 14M25: Toric varieties, Newton polyhedra
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 5 , October 2017 , pp. 971 - 992
Copyright
Copyright © Royal Society of Edinburgh 2017