On the modularity of rigid Calabi-Yau threefolds: epilogue

DOI10.1007/s10958-010-0175-8zbMath1290.14029arXiv0908.1210OpenAlexW2026879701MaRDI QIDQ393222

Luis V. Dieulefait

Publication date: 16 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1210

zbMATH Keywords

modularityrigid Calabi-Yau threefolds

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Galois representations (11F80) Global ground fields in algebraic geometry (14G25)

Related Items (12)

Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ Unnamed Item ⋮ Modularity of Calabi–Yau Varieties: 2011 and Beyond ⋮ A one parameter family of Calabi-Yau manifolds with attractor points of rank two ⋮ New realizations of modular forms in Calabi-Yau threefolds arising from \(\phi^{4}\) theory ⋮ Modular forms and \(K3\) surfaces ⋮ CY-operators and $L$-functions ⋮ Rigid Calabi-Yau threefolds over \(\mathbb Q\) are modular ⋮ Periods of rigid double octic Calabi–Yau threefolds ⋮ Hilbert modularity of some double octic Calabi-Yau threefolds ⋮ Supercongruences for rigid hypergeometric Calabi-Yau threefolds ⋮ Counting points on double octic Calabi–Yau threefolds over finite fields

Cites Work

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• Serre's modularity conjecture. I
• Serre's modularity conjecture. II
• Modularity of 2-adic Barsotti-Tate representations
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• On the meromorphic continuation of degree two \(L\)-functions
• on l-adic representations attached to modular forms II
• The Tamagawa number conjecture of adjoint motives of modular forms

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