Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess

DOI10.1006/ffta.2000.0301zbMath1023.11031OpenAlexW1995643829MaRDI QIDQ5927538

Nicholas M. Katz

Publication date: 10 April 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.2000.0301

zbMATH Keywords

degree-\(d\) hypersurfacesDeligne equidistribution theoremfamily of higher-dimensional varietiesfamily of varietiesfinite fieldFrobenius-Schur indicatorgenus-\(g\)-curvesgeometric monodromy groupmonodromyquadratic excess

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10)

Related Items (8)

Sato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok. ⋮ Traces, high powers and one level density for families of curves over finite fields ⋮ Families of L-Functions and Their Symmetry ⋮ Rationality of trace and norm \(L\)-functions ⋮ Improvements of the Weil bound for Artin-Schreier curves ⋮ Rationality of partial zeta functions ⋮ More points than expected on curves over finite field extensions ⋮ Fluctuations in the number of points on smooth plane curves over finite fields

Cites Work

• On the Eigenvalues of Random Matrices
• More points than expected on curves over finite field extensions
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