Hilbert modular surfaces for square discriminants and elliptic subfields of genus 2 function fields

DOI10.1186/s40687-015-0042-9zbMath1380.11049arXiv1412.2849OpenAlexW203922851WikidataQ59410908 ScholiaQ59410908MaRDI QIDQ290400

Abhinav Kumar

Publication date: 1 June 2016

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2849

zbMATH Keywords

elliptic curvesmoduli spacesJacobiansK3 surfacesgenus-2 curvesHilbert modular surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Jacobians, Prym varieties (14H40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (9)

Computing the geometric endomorphism ring of a genus-2 Jacobian ⋮ Isogenous components of Jacobian surfaces ⋮ Decomposing Jacobians Via Galois covers ⋮ Equations for a K3 Lehmer map ⋮ Explicit moduli spaces for congruences of elliptic curves ⋮ On 12-congruences of elliptic curves ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting) ⋮ Graded rings of paramodular forms of levels 5 and 7 ⋮ Polynomials Defining Teichmüller Curves and Their Factorizations mod p

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