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Arapura, Donu, 1958-

Algebraic geometry over the complex numbers / Donu Arapura. - New York : Springer, c2012. - xii, 329 p. : ill. ; 23 cm. - Universitext, 0172-5939 . - Universitext. .

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.

ISBN: 9781461418085 (pbk. : alk. paper) 1461418089 (pbk. : alk. paper) 9781461418092 (eISBN)

LCCN: 2012930383

Nat. Bib. Agency Control No.: 015979019 Uk

Subjects--Topical Terms:
Geometry, Algebraic.
Numbers, Complex.

LC Class. No.: QA564 / .A66 2012

Dewey Class. No.: 516.3/5