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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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Authors and Affiliations

  1. Department of Mathematics, Ajou University, San 5, Woncheondong, Yeongtonggu, Suwon, 443-749, Korea

    Suyoung Choi

  2. School of Mathematics, Korea Instutute for Advanced Study (KIAS), 85 Hoegiro Dongdaemun-gu, Seoul, 130-722, Republic of Korea

    Hanchul Park

Authors
  1. Suyoung Choi
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  2. Hanchul Park
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Corresponding author

Correspondence to Suyoung Choi.

Additional information

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Science, ICT & Future Planning(NRF-2012R1A1A2044990).

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Choi, S., Park, H. Wedge operations and a new family of projective toric manifolds. Isr. J. Math. 219, 353–377 (2017). https://doi.org/10.1007/s11856-017-1483-1

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  • DOI: https://doi.org/10.1007/s11856-017-1483-1

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