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Elliptic genera, torus orbifolds and multi-fans; II

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arxiv math/0501392 v2 pith:YAV7MXNN submitted 2005-01-23 math.AT math.AG

Akio Hattori This is my paper · ORCID
classification math.ATmath.AG
keywords divisorsellipticmulti-fansapplicationarticlecanonicalcompletecontinuation
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This article is a continuation of SG/0107014. Some vanishing theorems for orbifold elliptic genus of level N for multi-fans are proved. As an application, complete Q-factorial toric varieties whose canonical divisors are divisible by their dimesion in the group of T-Cartier divisors are determined.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Beyond Algebraic Superstring Compactification

    hep-th 2025-02 conditional novelty 5.0 of 10

    Calabi-Yau compactifications and mirror symmetry are conjecturally extended to non-algebraic toric spaces using Laurent deformations and the 'intrinsic limit' completion.

  2. Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

    hep-th 2024-03 unverdicted novelty 5.0 of 10

    Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.

  3. Beyond Algebraic Solutions to Stringy Spacetime

    hep-th 2026-05 unverdicted novelty 3.0 of 10

    Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.

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