Hodge theory and the local Torelli problem / / Loring W. Tu |
Autore | Tu Loring W. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
Descrizione fisica | 1 online resource (72 p.) |
Disciplina |
510 s
516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Curves, Algebraic
Surfaces, Algebraic Hodge theory Torelli theorem |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0689-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910480779503321 |
Tu Loring W.
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Hodge theory and the local Torelli problem / / Loring W. Tu |
Autore | Tu Loring W. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
Descrizione fisica | 1 online resource (72 p.) |
Disciplina |
510 s
516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Curves, Algebraic
Surfaces, Algebraic Hodge theory Torelli theorem |
ISBN | 1-4704-0689-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910788898703321 |
Tu Loring W.
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Hodge theory and the local Torelli problem / / Loring W. Tu |
Autore | Tu Loring W. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
Descrizione fisica | 1 online resource (72 p.) |
Disciplina |
510 s
516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Curves, Algebraic
Surfaces, Algebraic Hodge theory Torelli theorem |
ISBN | 1-4704-0689-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910828918603321 |
Tu Loring W.
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|