Israel Journal of Mathematics

, Volume 219, Issue 1, pp 353–377 | Cite as

Wedge operations and a new family of projective toric manifolds

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Abstract

Let P m (J) denote a simplicial complex obtainable from consecutive wedge operations from an m-gon. In this paper, we completely classify toric manifolds over P m (J) and prove that all of them are projective. As a consequence, we provide an infinite family of projective toric manifolds.

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Copyright information

© Hebrew University of Jerusalem 2017

Authors and Affiliations

  1. 1.Department of MathematicsAjou UniversityYeongtonggu, SuwonKorea
  2. 2.School of MathematicsKorea Instutute for Advanced Study (KIAS)SeoulRepublic of Korea

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