Periods of singular double octic Calabi–Yau threefolds and modular forms

DOI10.1002/mana.202200085zbMath1525.14051arXiv2202.01556MaRDI QIDQ6074604

Sławomir Cynk, Tymoteusz Chmiel

Publication date: 12 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.01556

zbMATH Keywords

\(L\)-functionmodular formsCalabi-Yau threefoldperiod integral

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (1)

Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point

Cites Work

• Rigid Calabi-Yau threefolds over \(\mathbb Q\) are modular
• On fiber products of rational elliptic surfaces with section
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• On the periods of modular forms
• Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
• New examples of modular rigid Calabi-Yau threefolds
• Computing period integrals of rigid double octic Calabi-Yau threefolds with Picard-Fuchs operator
• Modular Calabi-Yau threefolds
• Quadratic Twists of Rigid Calabi–Yau Threefolds Over ℚ
• Periods of rigid double octic Calabi–Yau threefolds
• Classification of double octic Calabi–Yau threefolds with h1,2 ≤ 1 defined by an arrangement of eight planes
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)

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