• 제목/요약/키워드: projective toric varieties

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SIMPLICIAL WEDGE COMPLEXES AND PROJECTIVE TORIC VARIETIES

  • Kim, Jin Hong
    • 대한수학회보
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    • 제54권1호
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    • pp.265-276
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    • 2017
  • Let K be a fan-like simplicial sphere of dimension n-1 such that its associated complete fan is strongly polytopal, and let v be a vertex of K. Let K(v) be the simplicial wedge complex obtained by applying the simplicial wedge operation to K at v, and let $v_0$ and $v_1$ denote two newly created vertices of K(v). In this paper, we show that there are infinitely many strongly polytopal fans ${\Sigma}$ over such K(v)'s, different from the canonical extensions, whose projected fans ${Proj_v}_i{\Sigma}$ (i = 0, 1) are also strongly polytopal. As a consequence, it can be also shown that there are infinitely many projective toric varieties over such K(v)'s such that toric varieties over the underlying projected complexes $K_{{Proj_v}_i{\Sigma}}$ (i = 0, 1) are also projective.

Projectivity for 3-Dimensional Compact Nonsingular Toric Varieties

  • Park, Hye Sook
    • 충청수학회지
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    • 제6권1호
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    • pp.95-104
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    • 1993
  • There are some sufficient or necessary conditions about projectivity for toric varieties. We consider one of them and state some conditions about projectivity for a 3-dimensional compact nonsingular case which is obtained from a projective one by nonsingular equivariant blow-down.

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