03334nam 22007212 450 991078311570332120160527092232.01-107-13070-01-139-63684-71-280-41829-X97866104182991-139-14717-X0-511-17975-80-511-06352-00-511-05719-90-511-30908-20-511-61534-50-511-07198-1(CKB)1000000000018031(EBL)217681(OCoLC)559294025(SSID)ssj0000172502(PQKBManifestationID)11182776(PQKBTitleCode)TC0000172502(PQKBWorkID)10150745(PQKB)10097833(UkCbUP)CR9780511615344(MiAaPQ)EBC217681(Au-PeEL)EBL217681(CaPaEBR)ebr10069838(CaONFJC)MIL41829(PPN)25495409X(EXLCZ)99100000000001803120090914d2002|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierHodge theory and complex algebraic geometry1 /Claire Voisin ; translated by Leila Schneps[electronic resource]Cambridge :Cambridge University Press,2002.1 online resource (ix, 322 pages) digital, PDF file(s)Cambridge studies in advanced mathematics ;76Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-71801-5 0-521-80260-1 Includes bibliographical references and indexes.Cover; Half-title; Series-title; Title; Copyright; Contents; 0 Introduction; Part I Preliminaries; Part II The Hodge Decomposition; Part III Variations of Hodge Structure; Part IV Cycles and Cycle Classes; Bibliography; IndexThe 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.Cambridge studies in advanced mathematics ;76.Hodge theoryGeometry, AlgebraicHodge theory.Geometry, Algebraic.516.3/5Voisin Claire1962-1483929Schneps LeilaUkCbUPUkCbUPBOOK9910783115703321Hodge theory and complex algebraic geometry3702297UNINA02283nas 2200685- 450 991020932870332120240702213014.02215-4507(OCoLC)729517838(CKB)3710000001403384(CONSER)--2024242995(EXLCZ)99371000000140338420110607a19799999 --- bspaurbn||||||abpurbn||||||adatxtrdacontentcrdamediacrrdacarrierCiencias veterinariasHeredia, Costa Rica :Escuela de Medicina Veterinaria, Universidad Nacional,[1979]-1 online resource (volumes) illustrations (some color)Refereed/Peer-reviewedRevista de ciencias veterinariasRevista ciencias veterinariasCienc. vet.Veterinary medicinePeriodicalsVeterinary medicineCosta RicaPeriodicalsAnimalsCosta RicaPeriodicalsVeterinary MedicineMédecine vétérinairePériodiquesMédecine vétérinaireCosta RicaPériodiquesMédecine vétérinaireveterinary medicineaatAnimalsfast(OCoLC)fst00809468Veterinary medicinefast(OCoLC)fst01165977DiergeneeskundegttCosta Ricafasthttps://id.oclc.org/worldcat/entity/E39PBJdcwt8mjYRVCxv8mgQTHCPeriodicalperiodicals.aatPeriodicals.fastPeriodicals.lcgftPériodiques.rvmgfVeterinary medicineVeterinary medicineAnimalsVeterinary MedicineMédecine vétérinaireMédecine vétérinaireMédecine vétérinaire.veterinary medicine.Animals.Veterinary medicine.Diergeneeskunde.630Universidad Nacional (Costa Rica).Escuela de Medicina Veterinaria,JOURNAL9910209328703321Ciencias veterinarias4177715UNINA