Non-isogenous superelliptic Jacobians

DOI10.1007/s00209-005-0921-7zbMath1102.14020arXivmath/0303001OpenAlexW2044992082MaRDI QIDQ851011

Yuri G. Zarhin

Publication date: 9 November 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303001

zbMATH Keywords

homomorphisms of abelian varietiessuperelliptic Jacobians

Mathematics Subject Classification ID

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)] Isogeny (14K02)

Related Items (3)

On the group of units and the Picard group of a product ⋮ Endomorphisms of superelliptic Jacobians ⋮ Endomorphism Algebras of Abelian Varieties with Special Reference to Superelliptic Jacobians

Cites Work

• The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field
• Finiteness theorems for abelian varieties over number fields.
• Über die Reduktion von Permutationsmoduln
• On finite affine 2-arc transitive graphs
• Computing a Selmer group of a Jacobian using functions on the curve
• Endomorphisms of Abelian varieties over finite fields
• Cyclic covers of the projective line, their jacobians and endomorphisms
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• The endomorphism rings of jacobians of cyclic covers of the projective line
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