000 02326nam a22003978i 4500
001 CR9780511615344
003 UkCbUP
005 20200124160242.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090914s2002||||enk o ||1 0|eng|d
020 _a9780511615344 (ebook)
020 _z9780521802604 (hardback)
020 _z9780521718011 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
041 1 _aeng
_hfre
050 0 0 _aQA564
_b.V65 2002
082 0 0 _a516.3/5
_221
100 1 _aVoisin, Claire,
_d1962-
_eauthor.
240 1 0 _aThéorie de Hodge et géométrie algébrique complexe.
_lEnglish
245 1 0 _aHodge theory and complex algebraic geometry.
_n1 /
_cClaire Voisin ; translated by Leila Schneps.
264 1 _aCambridge :
_bCambridge University Press,
_c2002.
300 _a1 online resource (ix, 322 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v76
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThe first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.
650 0 _aHodge theory.
650 0 _aGeometry, Algebraic.
700 1 _aSchneps, Leila,
_etranslator.
776 0 8 _iPrint version:
_z9780521802604
830 0 _aCambridge studies in advanced mathematics ;
_v76.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511615344
999 _c518658
_d518656