Hodge theory and the local Torelli problem / / Loring W. Tu
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| Autore: |
Tu Loring W.
|
| Titolo: |
Hodge theory and the local Torelli problem / / Loring W. Tu
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| ©1983 | |
| Descrizione fisica: | 1 online resource (72 p.) |
| Disciplina: | 510 s |
| 516.3/52 | |
| Soggetto topico: | Curves, Algebraic |
| Surfaces, Algebraic | |
| Hodge theory | |
| Torelli theorem | |
| Note generali: | Includes index. |
| Nota di bibliografia: | Bibliography: pages 55-56. |
| Nota di contenuto: | ""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"" |
| ""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"" | |
| ""D""""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y"" | |
| Altri titoli varianti: | Torelli problem |
| Titolo autorizzato: | Hodge theory and the local Torelli problem |
| ISBN: | 1-4704-0689-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910828918603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 279.