Fiber products and class groups of hyperelliptic curves
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Publication:4929984
DOI10.1090/S0002-9939-10-10461-4zbMath1203.11075OpenAlexW1975081799MaRDI QIDQ4929984
Publication date: 27 September 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10461-4
Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29) Algebraic functions and function fields in algebraic geometry (14H05)
Cites Work
- Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
- On the connected part of the covariant Tate p-divisible group and the \(\zeta\)-function of the family of hyperelliptic curves \(y^ 2=1+\mu x^ N\) modulo various primes
- Hyperelliptic curves with prescribed \(p\)-torsion
- On the Jacobian variety of the algebraic curve \(y^ 2 = 1-x^ l\) over a field of characteristic \(p>0\)
- The distribution of class groups of function fields
- Function fields with 3-rank at least 2
- Construction of hyperelliptic function fields of high three-rank
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