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Autore: |
Tu Loring W.
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Titolo: |
Hodge theory and the local Torelli problem / / Loring W. Tu
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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 | |
Soggetto genere / forma: | Electronic books. |
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.: | 9910480779503321 |
Lo trovi qui: | Univ. Federico II |
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