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Algebraic geometry over the complex numbers / Donu Arapura.

By: Arapura, Donu, 1958-.
Material type: TextTextSeries: Universitext: Publisher: New York : Springer, c2012Description: xii, 329 p. : ill. ; 23 cm.ISBN: 9781461418085 (pbk. : alk. paper); 1461418089 (pbk. : alk. paper); 9781461418092 (eISBN).Subject(s): Geometry, Algebraic | Numbers, ComplexDDC classification: 516.35
Contents:
1. Plane curves -- 2. Manifolds and varieties via sheaves -- 3. More sheaf theory -- 4. Sheaf cohomology -- 5. De Rham cohomology of manifolds -- 6. Riemann surfaces -- 7. Simplicial methods -- 8. The Hodge theorem for Riemannian manifolds -- 9. Toward Hodge theory for complex manifolds -- 10. Kähler manifolds -- 11. A little algebraic surface theory -- 12. Hodge structures and homological methods -- 13. Topology of families -- 14. The hard Lefschetz theorem -- 15. Coherent sheaves -- 16. Cohomology of coherent sheaves -- 17. Computation of some Hodge numbers -- 18. Deformations and Hodge theory -- 19. Analogies and conjectures.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books Prof. G. K. Chadha Library

South Asian University

General Stacks 		516.35 A6628a (Browse shelf) Available BK00006261
Total holds: 0

Includes bibliographical references (p. 321-326) and index.

1. Plane curves -- 2. Manifolds and varieties via sheaves -- 3. More sheaf theory -- 4. Sheaf cohomology -- 5. De Rham cohomology of manifolds -- 6. Riemann surfaces -- 7. Simplicial methods -- 8. The Hodge theorem for Riemannian manifolds -- 9. Toward Hodge theory for complex manifolds -- 10. Kähler manifolds -- 11. A little algebraic surface theory -- 12. Hodge structures and homological methods -- 13. Topology of families -- 14. The hard Lefschetz theorem -- 15. Coherent sheaves -- 16. Cohomology of coherent sheaves -- 17. Computation of some Hodge numbers -- 18. Deformations and Hodge theory -- 19. Analogies and conjectures.

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