Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 /

This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Katz, Nicholas M. (Autor), Mazur, Barry (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 108
Temas:
Curves, Elliptic.
Geometry, Algebraic.
Moduli theory.
MATHEMATICS / Geometry / Algebraic.
Abelian variety.
Addition.
Algebraic variety.
Algebraically closed field.
Ambient space.
Arithmetic.
Axiom.
Barry Mazur.
Base change.
Calculation.
Canonical map.
Change of base.
Closed immersion.
Coefficient.
Coherent sheaf.
Cokernel.
Commutative property.
Congruence relation.
Coprime integers.
Corollary.
Cusp form.
Cyclic group.
Dense set.
Diagram (category theory).
Dimension.
Discrete valuation ring.
Disjoint union.
Divisor.
Eigenfunction.
Elliptic curve.
Empty set.
Factorization.
Field of fractions.
Finite field.
Finite group.
Finite morphism.
Free module.
Functor.
Group (mathematics).
Integer.
Irreducible component.
Level structure.
Local ring.
Maximal ideal.
Modular curve.
Modular equation.
Modular form.
Moduli space.
Morphism of schemes.
Morphism.
Neighbourhood (mathematics).
Noetherian.
One-parameter group.
Open problem.
Prime factor.
Prime number.
Prime power.
Q.E.D.
Regularity theorem.
Representation theory.
Residue field.
Riemann hypothesis.
Smoothness.
Special case.
Subgroup.
Subring.
Subset.
Theorem.
Topology.
Two-dimensional space.
Zariski topology.
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