Calabi-Yau metrics on canonical bundles of complex flag manifolds

JOURNAL OF ALGEBRA

卷:527

Article

Correa, Eder M.¹  Grama, Lino² 

[1] IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil

[2] IMECC Unicamp, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil

关键词: Calabi-Yau varieties;    Canonical bundles;    Lie Theory;    Flag varieties;    Algebraic Geometry;   

DOI  :  10.1016/j.jalgebra.2019.02.027

来源: Elsevier

【 摘 要 】

In the present paper we provide a description of complete Calabi-Yau metrics on the canonical bundle of generalized complex flag manifolds. By means of Lie theory we give an explicit description of complete Ricci-flat Kahler metrics obtained through the Calabi Ansatz technique. We use this approach to provide several explicit examples of noncompact complete Calabi-Yau manifolds, these examples include canonical bundles of non-toric flag manifolds (e.g. Grassmann manifolds and full flag manifolds). (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free