Elliptic Calabi–Yau Threefolds over a del Pezzo Surface

DOI10.1007/978-3-319-43648-7_12zbMath1368.14066arXiv1312.0911OpenAlexW2970455996MaRDI QIDQ5278327

Noriko Yui, Simon C. F. Rose

Publication date: 19 July 2017

Published in: Arbeitstagung Bonn 2013 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0911

zbMATH Keywords

del Pezzo surfacemodular formsCalabi-Yau threefold

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Elliptic curves (14H52) (3)-folds (14J30) Holomorphic modular forms of integral weight (11F11) Relations with algebraic geometry and topology (11F23)

Related Items (1)

Introduction to Modular Forms

Cites Work

• Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces
• The quantum cohomology of blow-ups of \(\mathbb{P}^2\) and enumerative geometry
• A conjectural generating function for numbers of curves on surfaces
• BPS states, string duality, and nodal curves on \(K3\)
• Topological strings on elliptic fibrations
• Quantum geometry of elliptic Calabi-Yau manifolds
• Noether-Lefschetz theory and the Yau-Zaslow conjecture
• The enumerative geometry of $K3$ surfaces and modular forms
• Gromov-Witten theory and Noether-Lefschetz theory
• BPS states of exceptional non-critical strings

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