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Divisibility of zeta functions of curves in a covering

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Publication:1888686
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DOI10.1007/s00013-003-4606-3zbMath1142.14306OpenAlexW2054279596MaRDI QIDQ1888686

Marc Perret, Yves Aubry

Publication date: 26 November 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-4606-3



Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)


Related Items (8)

On the Mordell-Weil lattice of \(y^2=x^3+bx+t^{3^n+1}\) in characteristic 3 ⋮ On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields ⋮ Optimal and maximal singular curves ⋮ Rational points and zeta functions of some curves over finite fields ⋮ On a conjecture of Wan about limiting Newton polygons ⋮ Curves covered by the Hermitian curve ⋮ On the Zeta function and the automorphism group of the generalized Suzuki curve ⋮ Decomposing Jacobians of curves over finite fields in the absence of algebraic structure




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