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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2019 Volume 305, Pages 162–173 (Mi tm3986)
This article is cited in 1 paper

Generic Torus Orbit Closures in Flag Bott Manifolds

Eunjeong Leea, Dong Youp Suhb

a Center for Geometry and Physics, Institute for Basic Science (IBS), 77 Cheongam-ro, Nam-gu, Pohang, Gyeongbuk 37673, Republic of Korea
b Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology (KAIST), 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea

Abstract: The generic torus orbit closure in a flag Bott manifold is shown to be a non-singular toric variety, and its fan structure is explicitly calculated.

Keywords: flag Bott tower, flag Bott manifold, GKM theory, toric manifold.

UDC: 515.14+515.16

MSC: Primary: 55R10, 14M25; Secondary: 57S25, 14M15

Received: July 31, 2018
Revised: November 10, 2018
Accepted: March 16, 2019

DOI: 10.4213/tm3986


 English version: Proceedings of the Steklov Institute of Mathematics, 2019, 305, 149–160

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© Steklov Math. Inst. of RAS, 2024