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arxiv: 1507.08919 · v1 · pith:CWZZXAZLnew · submitted 2015-07-31 · 🧮 math.AG · math.AT

Wedge operations and a new family of projective toric manifolds

classification 🧮 math.AG math.AT
keywords manifoldsprojectivetoricfamilyoperationswedgeclassifycompletely
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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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