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[null,"1.","Record Nr.",null,"UNINA9910788898703321"]
[null,null,"Autore",null,"Tu Loring W."]
[null,null,"Titolo",null,"Hodge theory and the local Torelli problem / / Loring W. Tu"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [1983]"]
[{"$nulls":4},"©1983"]
[null,null,"ISBN",null,"1-4704-0689-6"]
[null,null,"Descrizione fisica",null,"1 online resource (72 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 279"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"516.3/52"]
[null,null,"Soggetti",null,"Curves, Algebraic"]
[{"$nulls":4},"Surfaces, Algebraic"]
[{"$nulls":4},"Hodge theory"]
[{"$nulls":4},"Torelli theorem"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,null,"Nota di bibliografia","Bibliography: pages 55-56."]
[null,null,"Nota di contenuto",null,"\"\"Table of Contents\"\"; \"\"Introduction\"\"; \"\"I. Variation of Hodge structure\"\"; \"\"Â1. The period map\"\"; \"\"Â2. The Hodge bundles in the smooth case\"\"; \"\"Â3. The Hodge bundles when there are singular fibers\"\"; \"\"The log complex\"\"; \"\"Relative dualizing sheaf\"\"; \"\"The canonical extension\"\"; \"\"Â4. A multiplicative formula for the holomorphic Euler characteristic\"\"; \"\"Â5. Monodromy\"\"; \"\"Â6. Mixed Hodge structures and the numerical invariants of a degeneration\"\"; \"\"6.1. Varieties with normal crossings\"\"; \"\"6.2. The limiting mixed Hodge structure\"\"; \"\"6.3. The Clemensâ€?Schmid exact sequence\"\""]
[{"$nulls":4},"\"\"6.4. Genus of a singular curve\"\"\"\"II. Local Torelli for curves\"\"; \"\"Â7. The case of no singular fibers\"\"; \"\"Â8. 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\"\"; \"\"Â9. Surfaces with large irregularity\"\"; \"\"Â10. Threefolds and fourfolds with large irregularity\"\"; \"\"Bibliography\"\"; \"\"List of Notations\"\"; \"\"Index\"\"; \"\"A\"\"; \"\"B\"\"; \"\"C\"\""]
[{"$nulls":4},"\"\"D\"\"\"\"E\"\"; \"\"F\"\"; \"\"G\"\"; \"\"H\"\"; \"\"I\"\"; \"\"K\"\"; \"\"L\"\"; \"\"M\"\"; \"\"N\"\"; \"\"P\"\"; \"\"Q\"\"; \"\"R\"\"; \"\"S\"\"; \"\"T\"\"; \"\"U\"\"; \"\"V\"\"; \"\"W\"\"; \"\"Y\"\""]