Hyperelliptic Jacobians with real multiplication

DOI10.1016/j.jnt.2005.05.002zbMath1094.14019arXivmath/0403553OpenAlexW2049228363MaRDI QIDQ2490146

Arsen Elkin

Publication date: 28 April 2006

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403553

zbMATH Keywords

hyperelliptic curveJacobian varietyreal multiplication

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Arithmetic ground fields for abelian varieties (14K15)

Related Items (2)

Hasse–Witt and Cartier–Manin matrices: A warning and a request ⋮ Endomorphism Algebras of Abelian Varieties with Special Reference to Superelliptic Jacobians

Uses Software

• Magma
• PARI/GP

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
• The computations of some Schur indices
• On the Jacobian varieties of hyperelliptic curves over fields of characteristic \(p>2\)
• The Magma algebra system. I: The user language
• Hyperelliptic Jacobians without complex multiplication
• Variations on a theme of Minkowski and Serre
• Good reduction of abelian varieties
• Slopes of powers of Frobenius on crystalline cohomology
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Explicit moduli for curves of genus 2 with real multiplication by ℚ(√5)
• Non-supersingular hyperelliptic jacobians
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC
• On Brumer's family of RM-curves of genus two
• Hyperelliptic Jacobians without complex multiplication in positive characteristic

This page was built for publication: Hyperelliptic Jacobians with real multiplication