Couverture de Lefschetz Theorem on (1,1)- Classes
Titre du livre:

Lefschetz Theorem on (1,1)- Classes

Betascript Publishing (12-08-2010 )

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ISBN-13:

978-613-1-20163-9

ISBN-10:
6131201633
EAN:
9786131201639
Langue du livre:
Anglais
texte du rabat:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In algebraic geometry, a branch of mathematics, the Lefschetz theorem on (1,1)-classes, named after Solomon Lefschetz, is a classical statement relating divisors on a compact Kähler manifold to classes in its integral cohomology. It is the only case of the Hodge conjecture which has been proved for all Kähler manifolds.Let X be a compact Kähler manifold. There is a cycle class map that takes a divisor class to a cohomology class. In this case, it is the first Chern class c1 from linear equivalence classes of divisors to H2(X, Z). By Hodge theory, the de Rham cohomology group H2(X, C) decomposes as a direct sum H0,2(X) ⊕ H1,1(X) ⊕ H2,0(X), and it can be proved that the image of the cycle class map lies in H1,1(X). The theorem says that the map to H2(X, Z) ∩ H1,1(X) is surjective.
Maison d'édition:
Betascript Publishing
Site Web:
https://www.betascript-publishing.com/
Edité par:
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
Numéro de pages:
88
Publié le:
12-08-2010
Stock:
Disponible
Catégorie:
Geometrie
Prix:
34.00 €
Mots-clés:
algebraic geometry, Mathematics, Solomon Lefschetz

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