The 𝑎-numbers of Jacobians of Suzuki curves

DOI10.1090/S0002-9939-2013-11581-9zbMath1330.14051arXiv1110.6898OpenAlexW3102807890MaRDI QIDQ2845451

Colin Weir, Beth Malmskog, Holley Friedlander, Derek Garton, Rachel J. Pries

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6898

zbMATH Keywords

Jacobianmaximal curve\(p\)-torsionSuzuki curve\(a\)-number

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (10)

The $a$-number of jacobians of certain maximal curves ⋮ The \(a\)-numbers of Fermat and Hurwitz curves ⋮ IWASAWA THEORY FORp-TORSION CLASS GROUP SCHEMES IN CHARACTERISTICp ⋮ Exact holomorphic differentials on a quotient of the Ree curve ⋮ \(a\)-numbers of curves in Artin-Schreier covers ⋮ Holomorphic differentials of generalized Fermat curves ⋮ Embedding Suzuki curves in \(\mathbb P^4\) ⋮ Superspecial rank of supersingular abelian varieties and Jacobians ⋮ On the Zeta function and the automorphism group of the generalized Suzuki curve ⋮ The de Rham cohomology of the Suzuki curves

Cites Work

• Ekedahl-Oort strata of hyperelliptic curves in characteristic 2
• On automorphism groups of certain Goppa codes
• Idempotent relations and factors of Jacobians
• Moduli of supersingular abelian varieties
• Elementary abelian \(p\)-extensions of algebraic function fields
• Group codes on certain algebraic curves with many rational points
• Hyperelliptic curves with prescribed \(p\)-torsion
• Algebraic Function Fields and Codes
• On Weierstrass points and optimal curves
• Quotient curves of the Suzuki curve
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