Twisted L-Functions and Monodromy. (AM-150)

DOI10.1515/9781400824885zbMath1029.14005OpenAlexW2498997168MaRDI QIDQ2781439

Nicholas M. Katz

Publication date: 20 March 2002

Full work available at URL: https://doi.org/10.1515/9781400824885

zbMATH Keywords

monodromy groups\(\ell\)-adic sheavesKummer sheaves

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Étale and other Grothendieck topologies and (co)homologies (14F20) Finite ground fields in algebraic geometry (14G15) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Varieties over finite and local fields (11G25)

Related Items (17)

\(L\)-functions of twisted Legendre curves ⋮ Lang–Trotter revisited ⋮ Algebraic geometric secret sharing schemes over large fields are asymptotically threshold ⋮ The integral monodromy of hyperelliptic and trielliptic curves ⋮ The geometric distribution of Selmer groups of elliptic curves over function fields ⋮ Application of covering techniques to families of curves. ⋮ Roots of \(L\)-functions of characters over function fields, generic linear independence and biases ⋮ Some aspects and applications of the Riemann hypothesis over finite fields ⋮ \(L\)-functions of elliptic curves modulo integers ⋮ Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t\)] ⋮ Geometric non-vanishing ⋮ On the Tate-Shafarevich groups of certain elliptic curves ⋮ Quasiprimitve linear groups with quadratic elements ⋮ Ranks of Elliptic Curves Over Function Fields ⋮ Book Review: Moments, monodromy, and perversity: Diophantine perspective ⋮ Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\) ⋮ On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields

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