Mumford-Tate Groups and Domains : Their Geometry and Arithmetic (AM-183) /

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Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Green, Mark (Autor), Griffiths, Phillip A. (Autor), Kerr, Matt (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2012]
Edición:Course Book
Colección:Annals of Mathematics Studies ; 183
Temas:
Mumford-Tate groups.
MATHEMATICS / Complex Analysis.
Deligne torus integer.
Galois group.
Grothendieck conjecture.
Hodge decomposition.
Hodge domain.
Hodge filtration.
Hodge orientation.
Hodge representation.
Hodge structure.
Hodge tensor.
Hodge theory.
Kubota rank.
Lie algebra representation.
Lie group.
Mumford-Tate domain.
Mumford-Tate group.
Mumford-Tate subdomain.
Noether-Lefschetz locus.
Vogan diagram method.
Weyl group.
abelian variety.
absolute Hodge class.
algebraic geometry.
arithmetic group.
automorphic cohomology.
classical group.
compact dual.
complex manifold.
complex multiplication Hodge structure.
complex multiplication.
endomorphism algebra.
exceptional group.
holomorphic mapping.
homogeneous complex manifold.
homomorphism.
mixed Hodge structure.
moduli space.
monodromy group.
natural symmetry group.
oriented imaginary number fields.
period domain.
period map.
polarization.
polarized Hodge structure.
pure Hodge structure.
reflex field.
semisimple Lie algebra.
semisimple Lie group.
Γ-equivalence classes.
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Mumford-Tate Groups and Domains : Their Geometry and Arithmetic (AM-183) /
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