Rationality of the moduli spaces of Eisenstein 𝐾3 surfaces
From MaRDI portal
Publication:3450281
DOI10.1090/tran/6349zbMath1330.14068arXiv1208.5826OpenAlexW2963912124MaRDI QIDQ3450281
Shingo Taki, Shouhei Ma, Hisanori Ohashi
Publication date: 3 November 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.5826
\(K3\) surfaceEisenstein latticeEisenstein \(K3\) surfacemoduli space, rationalitynon-symplectic automorphism of order 3
Rational and ruled surfaces (14J26) (K3) surfaces and Enriques surfaces (14J28) Modular and Shimura varieties (14G35) Rationality questions in algebraic geometry (14E08)
Related Items
Complex ball quotients from manifolds of \(K3^{[n}\)-type] ⋮ Uniruledness of some low-dimensional ball quotients ⋮ Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models
Cites Work
- \(K3\) surfaces with non-symplectic automorphisms of prime order. With an appendix by Shigeyuki Kondō
- \(K3\) surfaces and log del Pezzo surfaces of index three
- Non-symplectic automorphisms of order 3 on \(K3\) surfaces
- The number of embeddings of integral quadratic forms. II
- Janus-like algebraic varieties
- Rationality of the moduli variety of curves of genus 3
- Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
- Del Pezzo and \(K3\) surfaces
- Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
- Arithmetic variety of moduli for genus two
- Rationality of the moduli spaces of 2-elementary 𝐾3 surfaces
- Classification of non-symplectic automorphisms of order 3 onK3 surfaces
- The complex hyperbolic geometry of the moduli space of cubic surfaces
- Cross Ratio Variety as a Moduli Space of Cubic Surfaces
- The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces
- Invariants of Certain Groups I
- A complex ball uniformization of the moduli space of cubic surfaces via periods ofK3 surfaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item