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  • 1
    Book
    Book
    The adjunction theory of complex projective varieties / (1995)
    Berlin u.a. :de Gruyter,
    Details
    UID:
    almahu_BV009956712
    Format: XX, 398 S.
    ISBN: 3-11-014355-0
    Series Statement: De Gruyter expositions in mathematics 16
    Language: German
    Subjects: Mathematics
    RVK:
    SK 240
    Keywords: Komplexer projektiver Raum ; Projektive Varietät ; Adjunktion ; Projektive Varietät ; Adjunktion
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006598517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006598517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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  • 2
    Online Resource
    Online Resource
    The adjunction theory of complex projective varieties (1995)
    Berlin ;New York : W. de Gruyter
    Details
    UID:
    b3kat_BV042352224
    Format: 1 Online-Ressource (xx, 398 p)
    ISBN: 3110143550 , 9783110143553 , 9783110871746
    Series Statement: de Gruyter expositions in mathematics 16
    Note: Includes bibliographical references and index , 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
    Language: English
    Keywords: Komplexer projektiver Raum ; Projektive Varietät ; Adjunktion
    DOI: 10.1515/9783110871746
    URL: Volltext
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  • 3
    Online Resource
    Online Resource
    The adjunction theory of complex projective varieties (1995)
    Berlin ;New York : W. de Gruyter
    Details
    UID:
    almahu_9947359870402882
    Format: Online-Ressource (xx, 398 p)
    Edition: Online-Ausg. Palo Alto, Calif ebrary 2011 Electronic reproduction; Available via World Wide Web
    ISBN: 3110143550 , 9783110143553 , 9783110871746
    Series Statement: De Gruyter expositions in mathematics 16
    Content: 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
    Note: Includes bibliographical references and index , 10.3 Very ampleness of the adjoint bundle. , 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. , 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. , 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. , 8.6 Surfaces with Castelnuovo curves as hyperplane sections8.7 Polarized varieties (X, L) with sectional genus g(L) = h1(OX); 8.8 Spannedness of KX + (dim X)L for ample and spanned L; 8.9 Polarized varieties (X, L) with sectional genus g(L) ≤ 1; 8.10 Classification of varieties up to degree 4; Chapter 9. The adjunction mapping; 9.1 Spannedness of adjoint bundles at singular points; 9.2 The adjunction mapping; Chapter 10. Classical adjunction theory of surfaces; 10.1 When the adjunction mapping has lower dimensional image; 10.2 Surfaces with sectional genus g(L) ≤ 3. , 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.
    Language: English
    DOI: 10.1515/9783110871746
    URL: http://www.degruyter.com/doi/book/10.1515/9783110871746
    URL: Cover
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  • 4
    Book
    Book
    The adjunction theory of complex projective varieties (1995)
    Berlin : de Gruyter
    Details
    UID:
    gbv_179904361
    Format: XX, 398 S. , 24 cm
    ISBN: 3110143550
    Series Statement: De Gruyter expositions in mathematics 16
    Note: Literaturverz. S. [355] - 393
    Additional Edition: Online-Ausg. Beltrametti, Mauro C. The adjunction theory of complex projective varieties Berlin : de Gruyter, 1995 ISBN 9783111794822
    Additional Edition: Erscheint auch als Online-Ausgabe Beltrametti, Mauro C., 1948 - The Adjunction Theory of Complex Projective Varieties. Berlin/Boston : De Gruyter, Inc., 2011 ISBN 9783110871746
    Additional Edition: Erscheint auch als Online-Ausgabe Beltrametti, Mauro The Adjunction Theory of Complex Projective Varieties Berlin ;New York : W. de Gruyter, 2011 ISBN 9783110871746
    Language: English
    Subjects: Mathematics
    RVK:
    SK 240
    Keywords: Komplexer projektiver Raum ; Projektive Varietät ; Adjunktion ; Algebraische Geometrie ; Lehrmittel
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
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  • 5
    Online Resource
    Online Resource
    The Adjunction Theory of Complex Projective Varieties / (2011)
    Berlin ;Boston :De Gruyter,
    Details
    UID:
    edocfu_9958355078302883
    Format: 1 online resource (418p.)
    ISBN: 9783110871746
    Series Statement: De Gruyter Expositions in Mathematics ; 16
    Note: Frontmatter -- , Chapter 1. General background results -- , Chapter 2. Consequences of positivity -- , Chapter 3. The basic varieties of adjunction theory -- , Chapter 4. The Hilbert scheme and extremal rays -- , Chapter 5. Restrictions imposed by ample divisors -- , Chapter 6. Families of unbreakable rational curves -- , Chapter 7. General adjunction theory -- , Chapter 8. Background for classical adjunction theory -- , Chapter 9. The adjunction mapping -- , Chapter 10. Classical adjunction theory of surfaces -- , Chapter 11. Classical adjunction theory in dimension ≥ 3 -- , Chapter 12. The second reduction in dimension three -- , Chapter 13. Varieties (ℳ, ℒ) with k(ΚΜ + (dim ℳ - 2)ℒ)≥0 -- , Chapter 14. Special varieties -- , Bibliography -- , Index , In English.
    Additional Edition: ISBN 978-3-11-014355-3
    Language: English
    DOI: 10.1515/9783110871746
    URL: https://doi.org/10.1515/9783110871746
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  • 6
    Online Resource
    Online Resource
    The Adjunction Theory of Complex Projective Varieties / (2011)
    Berlin ; : De Gruyter,
    Details
    UID:
    almahu_9949461110402882
    Format: 1 online resource (398 p.)
    ISBN: 9783110871746 , 9783110494969
    Series Statement: De Gruyter Expositions in Mathematics , 16
    Note: Frontmatter -- , Chapter 1. General background results -- , Chapter 2. Consequences of positivity -- , Chapter 3. The basic varieties of adjunction theory -- , Chapter 4. The Hilbert scheme and extremal rays -- , Chapter 5. Restrictions imposed by ample divisors -- , Chapter 6. Families of unbreakable rational curves -- , Chapter 7. General adjunction theory -- , Chapter 8. Background for classical adjunction theory -- , Chapter 9. The adjunction mapping -- , Chapter 10. Classical adjunction theory of surfaces -- , Chapter 11. Classical adjunction theory in dimension ≥ 3 -- , Chapter 12. The second reduction in dimension three -- , Chapter 13. Varieties (ℳ, ℒ) with k(ΚΜ + (dim ℳ - 2)ℒ)≥0 -- , Chapter 14. Special varieties -- , Bibliography -- , Index , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.
    In: DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969
    In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199
    In: E-DITION 2: BEST OF MATHEMATICS, PHYSICS, De Gruyter, 9783110306569
    Additional Edition: ISBN 9783110143553
    Language: English
    Subjects: Mathematics
    RVK:
    SK 240
    DOI: 10.1515/9783110871746
    URL: https://doi.org/10.1515/9783110871746
    URL: https://www.degruyter.com/isbn/9783110871746
    URL: Cover
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