000 02422nam a22003978i 4500
001 CR9780511615177
003 UkCbUP
005 20200124160242.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090914s2003||||enk o ||1 0|eng|d
020 _a9780511615177 (ebook)
020 _z9780521802833 (hardback)
020 _z9780521718028 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
041 1 _aeng
_hfre
050 0 4 _aQA564
_b.V6513 2003
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.
_n2 /
_cClaire Voisin ; translated by Leila Schneps.
264 1 _aCambridge :
_bCambridge University Press,
_c2003.
300 _a1 online resource (ix, 351 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 ;
_v77
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThe 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard-Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly Nori's connectivity theorem, which generalizes the above. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.
650 0 _aHodge theory.
650 0 _aGeometry, Algebraic.
700 1 _aSchneps, Leila,
_etranslator.
776 0 8 _iPrint version:
_z9780521802833
830 0 _aCambridge studies in advanced mathematics ;
_v77.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511615177
999 _c518670
_d518668