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The Adjunction Theory of Complex Projective Varieties.
An overview of developments in the past 15 years of adjunction theory, the study of the interplay between the intrinsic geometry of a projective variety and the geometry connected with some embedding of the variety into a projective space. Topics include consequences of positivity, the Hilbert schem...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
1995.
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| Colección: | De Gruyter expositions in mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn843635032 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 130502s1995 gw o 000 0 eng d | ||
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| 020 | |a 9783110871746 | ||
| 020 | |a 3110871742 | ||
| 029 | 1 | |a DEBBG |b BV044165112 | |
| 029 | 1 | |a DEBSZ |b 47828571X | |
| 035 | |a (OCoLC)843635032 | ||
| 050 | 4 | |a QA564 .B443 1995 | |
| 050 | 4 | |a QA564.B443 | |
| 082 | 0 | 4 | |a 516.3/5 |a 516.35 |a 516.36 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Sommese, Andrew J. | |
| 245 | 1 | 4 | |a The Adjunction Theory of Complex Projective Varieties. |
| 260 | |a Berlin : |b De Gruyter, |c 1995. | ||
| 300 | |a 1 online resource (420 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Expositions in Mathematics ; |v v. 16 | |
| 588 | 0 | |a Print version record. | |
| 520 | |a An overview of developments in the past 15 years of adjunction theory, the study of the interplay between the intrinsic geometry of a projective variety and the geometry connected with some embedding of the variety into a projective space. Topics include consequences of positivity, the Hilbert schem. | ||
| 505 | 0 | |a Preface; List of tables; Chapter 1. General background results; 1.1 Some basic definitions; 1.2 Surface singularities; 1.3 On the singularities that arise in adjunction theory; 1.4 Curves; 1.5 Nefvalue results; 1.6 Universal sections and discriminant varieties; 1.7 Bertini theorems; 1.8 Some examples; Chapter 2. Consequences of positivity; 2.1 k-ampleness and k-bigness; 2.2 Vanishing theorems; 2.3 The Lefschetz hyperplane section theorem; 2.4 The Albanese mapping in the presence of rational singularities; 2.5 The Hodge index theorem and the Kodaira lemma; 2.6 Rossi's extension theorems | |
| 505 | 8 | |a 2.7 Theorems of Andreotti-Grauert and GriffithsChapter 3. The basic varieties of adjunction theory; 3.1 Recognizing projective spaces and quadrics; 3.2 Pd-bundles; 3.3 Special varieties arising in adjunction theory; Chapter 4. The Hilbert scheme and extremal rays; 4.1 Flatness, the Hilbert scheme, and limited families; 4.2 Extremal rays and the cone theorem; 4.3 Varieties with nonnef canonical bundle; Chapter 5. Restrictions imposed by ample divisors; 5.1 On the behavior of k-big and ample divisors under maps; 5.2 Extending morphisms of ample divisors | |
| 505 | 8 | |a 5.3 Ample divisors with trivial pluricanonical systems5.4 Varieties that can be ample divisors only on cones; 5.5 Pd-bundles as ample divisors; Chapter 6. Families of unbreakable rational curves; 6.1 Examples; 6.2 Families of unbreakable rational curves; 6.3 The nonbreaking lemma; 6.4 Morphisms of varieties covered by unbreakable rational curves; 6.5 The classification of projective manifolds covered by lines; 6.6 Some spannedness results; Chapter 7. General adjunction theory; 7.1 Spectral values; 7.2 Polarized pairs (M, L) with nefvalue> dim M -- l and M singular | |
| 505 | 8 | |a 7.3 The first reduction of a singular variety7.4 The polarization of the first reduction; 7.5 The second reduction in the smooth case; 7.6 Properties of the first and the second reduction; 7.7 The second reduction (X, D) with KX + (n -- 3) D nef; 7.8 The three dimensional case; 7.9 Applications; Chapter 8. Background for classical adjunction theory; 8.1 Numerical implications of nonnegative Kodaira dimension; 8.2 The double point formula for surfaces; 8.3 Smooth double covers of irreducible quadric surfaces; 8.4 Surfaces with one dimensional projection from a line; 8.5 k-very ampleness | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Adjunction theory. | |
| 650 | 0 | |a Embeddings (Mathematics) | |
| 650 | 0 | |a Algebraic varieties. | |
| 650 | 0 | |a Projective spaces. | |
| 650 | 6 | |a Théorie de l'adjonction. | |
| 650 | 6 | |a Plongements (Mathématiques) | |
| 650 | 6 | |a Variétés algébriques. | |
| 650 | 6 | |a Espaces projectifs. | |
| 650 | 7 | |a Adjunction theory |2 fast | |
| 650 | 7 | |a Algebraic varieties |2 fast | |
| 650 | 7 | |a Embeddings (Mathematics) |2 fast | |
| 650 | 7 | |a Projective spaces |2 fast | |
| 700 | 1 | |a Beltrametti, Mauro C. | |
| 758 | |i has work: |a The adjunction theory of complex projective varieties (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGhth6hMb46cxkVwMftmMP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9783110143553 |
| 830 | 0 | |a De Gruyter expositions in mathematics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=913362 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL913362 | ||
| 994 | |a 92 |b IZTAP | ||