Statistics of moduli space of vector bundles

DOI10.1016/j.bulsci.2018.12.003zbMath1423.14075OpenAlexW2905537477WikidataQ128777708 ScholiaQ128777708MaRDI QIDQ1729293

Arijit Dey, Anirban Mukhopadhyay, Sampa Dey

Publication date: 27 February 2019

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2018.12.003

zbMATH Keywords

function fieldsvector bundlesmoduli spaceFrobenius distributionsGalois covers

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Special algebraic curves and curves of low genus (14H45) Curves over finite and local fields (11G20) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Vector bundles on curves and their moduli (14H60) Zeta and (L)-functions in characteristic (p) (11M38) Relations with random matrices (11M50) Algebraic functions and function fields in algebraic geometry (14H05) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• La conjecture de Weil. II
• Poincaré polynomials of the variety of stable bundles
• On the cohomology groups of moduli spaces of vector bundles on curves
• Lectures on introduction to moduli problems and orbit spaces
• Poincaré polynomial of the moduli spaces of parabolic bundles
• La conjecture de Weil. I
• Statistics of the Jacobians of hyperelliptic curves over finite fields
• Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field
• Traces of high powers of the Frobenius class in the hyperelliptic ensemble
• Intersection Poincaré Polynomial for Nagaraj–Seshadri moduli space
• Zeroes of Polynomials Over Finite Fields
• Probability

This page was built for publication: Statistics of moduli space of vector bundles