\(K3\) mirror symmetry, Legendre family and Deligne's conjecture for the Fermat quartic

DOI10.1016/j.nuclphysb.2020.115303zbMath1476.14074arXiv2004.00820OpenAlexW3015027197WikidataQ123007443 ScholiaQ123007443MaRDI QIDQ2231896

Wenzhe Yang

Publication date: 30 September 2021

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

Full work available at URL: https://arxiv.org/abs/2004.00820

zbMATH Keywords

mirror map\(K3\) surfaceperiodsDeligne's periodsLegendre family of elliptic curves

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Rank-2 attractors and Deligne's conjecture, Algorithmically solving the tadpole problem

Uses Software

• LMFDB

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• CM newforms with rational coefficients
• Zeta functions of alternate mirror Calabi-Yau families
• Mirror symmetry for lattice polarized \(K3\) surfaces
• On K3 surfaces with large Picard number
• Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
• Arithmetic properties of mirror map and quantum coupling
• Instantons on D-branes
• BPS states, string duality, and nodal curves on \(K3\)
• Rank-2 attractors and Deligne's conjecture
• Deligne's conjecture and mirror symmetry
• Period- and mirror-maps for the quartic \(K3\)
• Modularity of Calabi–Yau Varieties: 2011 and Beyond
• Lectures on K3 Surfaces
• Zeta functions of an infinite family of K3 surfaces
• Period Mappings and Period Domains
• On the Volume Elements on a Manifold
• On the Rationality of the Zeta Function of an Algebraic Variety
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3