Algebraic geometry over the complex numbers
by
Arapura, Donu
.
Material type: 
BookSeries: Universitext: Publisher: New York : Springer, c2012Description: xii, 329 p. : ill. ; 23 cm.ISBN: 9781461418085 (pbk. : alk. paper); 1461418089 (pbk. : alk. paper).Subject(s): Geometry, Algebraic | Numbers, ComplexDDC classification: 516.35 Ar14A
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.
| Item type | Current location | Collection | Call number | Status | Notes | Date due | Barcode |
|---|---|---|---|---|---|---|---|
Books
|
Central Library, IISER Bhopal
OPAC URL: http://webopac.iiserb.ac.in/ |
Reference | 516.35 Ar14A (Browse shelf) | Not For Loan | Reserve | 9741 |
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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