Invariants of some algebraic curves related to Drinfeld modular curves

DOI10.1006/jnth.2000.2642zbMath0979.11036OpenAlexW2060964184MaRDI QIDQ5949918

Ernst-Ulrich Gekeler

Publication date: 5 December 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2642

zbMATH Keywords

function fieldsDrinfeld modular curvesDrinfeld modulesgeneranumber of cusps

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (14)

An explicit basis of modular symbols on function fields ⋮ Vectorial Drinfeld modular forms over Tate algebras ⋮ The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains ⋮ Lattices with exponentially large kissing numbers ⋮ On the Eisenstein ideal over function fields ⋮ Quotients of the Bruhat-Tits tree by function field analogs of the Hecke congruence subgroups ⋮ On the Drinfeld modular curves \(X_ 1(\mathfrak n)\). ⋮ Twisting eigensystems of Drinfeld Hecke eigenforms by characters ⋮ Towers of \(\mathrm{GL}(r)\)-type of modular curves ⋮ On \(\bmod\mathfrak{p}\) congruences for Drinfeld modular forms of level \(\mathfrak{pm}\) ⋮ On Drinfeld modular forms of higher rank IV: modular forms with level ⋮ Parametrization of virtually \(K\)-rational Drinfeld modules of rank two ⋮ Pesenti-Szpiro inequality for optimal elliptic curves ⋮ On Drinfeld modular curves with many rational points over finite fields

Uses Software

• manYPoints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zur Arithmetik von Drinfeld-Moduln
• Number of points of an algebraic curve
• Drinfeld modular curves
• Linear codes and modular curves
• On the coefficients of Drinfeld modular forms
• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• On the modular equation for Drinfeld modules of rank 2
• On the coefficients of the Drinfeld modular equation
• On the Drinfeld modular polynomial \(\Phi_ T(X,Y)\)
• A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
• A class number relation over function fields
• Modulare Einheiten für Funktionenkörper.
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• The algebraist’s upper half-plane
• Explicit Class Field Theory for Rational Function Fields
• ELLIPTIC MODULES
• Les Schémas de Modules de Courbes Elliptiques
• FUNDAMENTAL DOMAINS OF SOME ARITHMETIC GROUPS OVER FUNCTION FIELDS
• Tables of curves with many points

This page was built for publication: Invariants of some algebraic curves related to Drinfeld modular curves