Deligne's conjecture and mirror symmetry

DOI10.1016/j.nuclphysb.2020.115245zbMath1483.14069arXiv2001.03283OpenAlexW2999708613WikidataQ122975179 ScholiaQ122975179MaRDI QIDQ2231069

Wenzhe Yang

Publication date: 29 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03283

zbMATH Keywords

motiveCalabi-Yau, Deligne's period

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Mirror symmetry (algebro-geometric aspects) (14J33) Arithmetic mirror symmetry (11G42)

Related Items (4)

Time reversal and \textit{CP} invariance in Calabi-Yau compactifications ⋮ \(K3\) mirror symmetry, Legendre family and Deligne's conjecture for the Fermat quartic ⋮ Rank-2 attractors and Deligne's conjecture ⋮ Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges

Cites Work

• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• La conjecture de Weil. I
• Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
• Rank-2 attractors and Deligne's conjecture
• A one parameter family of Calabi-Yau manifolds with attractor points of rank two
• Mixed Hodge Structures
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