Lefschetz Theorem on (1,1)- Classes

Author:   Lambert M. Surhone ,  Miriam T. Timpledon ,  Susan F. Marseken
Publisher:   VDM Publishing House
ISBN:  

9786131201639


Pages:   88
Publication Date:   12 August 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Lefschetz Theorem on (1,1)- Classes


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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. High Quality Content by WIKIPEDIA articles! 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 Kahler manifold to classes in its integral cohomology. It is the only case of the Hodge conjecture which has been proved for all Kahler manifolds.Let X be a compact Kahler 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) ae* H1,1(X) ae* 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) ae(c) H1,1(X) is surjective.

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Author:   Lambert M. Surhone ,  Miriam T. Timpledon ,  Susan F. Marseken
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.50cm , Length: 15.20cm
Weight:   0.142kg
ISBN:  

9786131201639


ISBN 10:   6131201633
Pages:   88
Publication Date:   12 August 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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