000			01241cam a22002177a 4500
999			_c52349 _d52349
008			120106s2012 nyua b 001 0 eng d
020			_a9781461418085 (paper cover)
041			_aeng
080			_a512.7 _bARA
100	1		_aArapura, Donu
245	1	0	_aAlgebraic geometry over the complex numbers
260			_aNew York _bSpringer _c2012
300			_axii, 329 p.
490			_aUniversitext
504			_aIncludes bibliographical references (p. 321-326) and index.
505	0		_a1. 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.
650		0	_aGeometry, Algebraic
650		0	_aNumbers, Complex
690			_aMathematics
942			_cBK _03