LEADER 03146nam  2200637   450 
001 9910480779503321
005 20170816143318.0
010   $a1-4704-0689-6
035   $a(CKB)3360000000464463
035   $a(EBL)3113535
035   $a(SSID)ssj0000888985
035   $a(PQKBManifestationID)11539781
035   $a(PQKBTitleCode)TC0000888985
035   $a(PQKBWorkID)10875476
035   $a(PQKB)10602583
035   $a(MiAaPQ)EBC3113535
035   $a(PPN)195411617
035   $a(EXLCZ)993360000000464463
100   $a19830225h19831983  uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aHodge theory and the local Torelli problem /$fLoring W. Tu
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1983]
210  4$dİ1983
215   $a1 online resource (72 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 279
300   $aIncludes index.
311   $a0-8218-2279-9 
320   $aBibliography: pages 55-56.
327   $a""Table of Contents""; ""Introduction""; ""I. Variation of Hodge structure""; ""A?1. The period map""; ""A?2. The Hodge bundles in the smooth case""; ""A?3. The Hodge bundles when there are singular fibers""; ""The log complex""; ""Relative dualizing sheaf""; ""The canonical extension""; ""A?4. A multiplicative formula for the holomorphic Euler characteristic""; ""A?5. Monodromy""; ""A?6. Mixed Hodge structures and the numerical invariants of a degeneration""; ""6.1. Varieties with normal crossings""; ""6.2. The limiting mixed Hodge structure""; ""6.3. The Clemensa???Schmid exact sequence""
327   $a""6.4. Genus of a singular curve""""II. Local Torelli for curves""; ""A?7. The case of no singular fibers""; ""A?8. With singular fibers""; ""8.1. First proof: mixed Hodge structure and the topology of the singular fiber""; ""8.2. Second proof: using the relative dualizing sheaf to map X into a projective space""; ""8.3. Third proof: the ample cone on the moduli space M""; ""III. Local Torelli in higher dimensions""; ""A?9. Surfaces with large irregularity""; ""A?10. Threefolds and fourfolds with large irregularity""; ""Bibliography""; ""List of Notations""; ""Index""; ""A""; ""B""; ""C""
327   $a""D""""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y""
410  0$aMemoirs of the American Mathematical Society ;$vno. 279.
517 3 $aTorelli problem
606   $aCurves, Algebraic
606   $aSurfaces, Algebraic
606   $aHodge theory
606   $aTorelli theorem
608   $aElectronic books.
615  0$aCurves, Algebraic.
615  0$aSurfaces, Algebraic.
615  0$aHodge theory.
615  0$aTorelli theorem.
676   $a510 s
676   $a516.3/52
700   $aTu$b Loring W.$052581
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480779503321
996   $aHodge theory and the local Torelli problem$92173276
997   $aUNINA