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Noether-Lefschetz theory and the Picard group of projective surfaces / / Angelo Felice Lopez
| Noether-Lefschetz theory and the Picard group of projective surfaces / / Angelo Felice Lopez |
| Autore | Lopez Angelo Felice <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1991 |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 516.3/53 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Picard groups
Surfaces, Algebraic Algebraic varieties |
| ISBN | 1-4704-0861-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Part I: A brief survey of Noether-Lefschetz problems""; ""Â 1 The Noether-Lefschetz theorem""; ""Â 2 Components of the Noether-Lefschetz locus""; ""Â 3 Higher dimensional problems""; ""Part II: The Picard group of a general surface containing a space curve""; ""Â 1 Introduction""; ""Â 2 Some classical facts""; ""Â 3 The results""; ""Part III: The Picard group of some general surfaces in P[sup(r)]""; ""Â 1 Introduction""; ""Â 2 The generalization of Theorem II.3.1 in P[sup(n+2)]""
""Â 3 The Picard group of general residual surfaces in P[sup(4)]""""Â 4 The Picard Group of General Projectively Cohen-Macaulay Surfaces in P[sup(4)]""; ""References"" |
| Record Nr. | UNINA-9910812429903321 |
Lopez Angelo Felice <1958->
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| Providence, Rhode Island : , : American Mathematical Society, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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On the compactification of moduli spaces for algebraic K3 surfaces / / Francesco Scattone
| On the compactification of moduli spaces for algebraic K3 surfaces / / Francesco Scattone |
| Autore | Scattone Francesco <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina | 515.9/223 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Moduli theory
Surfaces, Algebraic Baily-Borel compactification |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0794-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Index of notation""; ""Introduction""; ""1. K3 surfaces""; ""1.1 The period map""; ""1.2 Degenerations of K3 surfaces""; ""2. Compactifications""; ""2.1 Baily-Borel compactification""; ""2.2 Arithmetic of degenerations""; ""3. Lattices and quadratic forms""; ""3.1 Lattices""; ""3.2 Discriminant-quadratic forms""; ""3.3 Genera of lattices""; ""3.4 The Minkowski-Siegel formula""; ""3.5 Reflections and root lattices""; ""3.6 Orthogonal groups""; ""3.7 Elementary transformations""; ""4. Primitive isotropic sublattices of rank one""; ""4.1 Preliminaries""
""4.2 Classification""""5. Primitive isotropic sublattices of rank two""; ""5.1 First reduction""; ""5.2 A normalization""; ""5.3 Second reduction""; ""5.4 O(L)-equivalence classes""; ""5.5 Stabilizer groups""; ""5.6 Computation of the stabilizer groups""; ""6. Examples""; ""6.1 Description of g(k)""; ""6.2 Degree two""; ""6.3 Degree four""; ""Bibliography"" |
| Record Nr. | UNINA-9910480741803321 |
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Scattone Francesco <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On the compactification of moduli spaces for algebraic K3 surfaces / / Francesco Scattone
| On the compactification of moduli spaces for algebraic K3 surfaces / / Francesco Scattone |
| Autore | Scattone Francesco <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina | 515.9/223 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Moduli theory
Surfaces, Algebraic Baily-Borel compactification |
| ISBN | 1-4704-0794-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Index of notation""; ""Introduction""; ""1. K3 surfaces""; ""1.1 The period map""; ""1.2 Degenerations of K3 surfaces""; ""2. Compactifications""; ""2.1 Baily-Borel compactification""; ""2.2 Arithmetic of degenerations""; ""3. Lattices and quadratic forms""; ""3.1 Lattices""; ""3.2 Discriminant-quadratic forms""; ""3.3 Genera of lattices""; ""3.4 The Minkowski-Siegel formula""; ""3.5 Reflections and root lattices""; ""3.6 Orthogonal groups""; ""3.7 Elementary transformations""; ""4. Primitive isotropic sublattices of rank one""; ""4.1 Preliminaries""
""4.2 Classification""""5. Primitive isotropic sublattices of rank two""; ""5.1 First reduction""; ""5.2 A normalization""; ""5.3 Second reduction""; ""5.4 O(L)-equivalence classes""; ""5.5 Stabilizer groups""; ""5.6 Computation of the stabilizer groups""; ""6. Examples""; ""6.1 Description of g(k)""; ""6.2 Degree two""; ""6.3 Degree four""; ""Bibliography"" |
| Record Nr. | UNINA-9910788884403321 |
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Scattone Francesco <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On the compactification of moduli spaces for algebraic K3 surfaces / / Francesco Scattone
| On the compactification of moduli spaces for algebraic K3 surfaces / / Francesco Scattone |
| Autore | Scattone Francesco <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (101 p.) |
| Disciplina | 515.9/223 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Moduli theory
Surfaces, Algebraic Baily-Borel compactification |
| ISBN | 1-4704-0794-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Index of notation""; ""Introduction""; ""1. K3 surfaces""; ""1.1 The period map""; ""1.2 Degenerations of K3 surfaces""; ""2. Compactifications""; ""2.1 Baily-Borel compactification""; ""2.2 Arithmetic of degenerations""; ""3. Lattices and quadratic forms""; ""3.1 Lattices""; ""3.2 Discriminant-quadratic forms""; ""3.3 Genera of lattices""; ""3.4 The Minkowski-Siegel formula""; ""3.5 Reflections and root lattices""; ""3.6 Orthogonal groups""; ""3.7 Elementary transformations""; ""4. Primitive isotropic sublattices of rank one""; ""4.1 Preliminaries""
""4.2 Classification""""5. Primitive isotropic sublattices of rank two""; ""5.1 First reduction""; ""5.2 A normalization""; ""5.3 Second reduction""; ""5.4 O(L)-equivalence classes""; ""5.5 Stabilizer groups""; ""5.6 Computation of the stabilizer groups""; ""6. Examples""; ""6.1 Description of g(k)""; ""6.2 Degree two""; ""6.3 Degree four""; ""Bibliography"" |
| Record Nr. | UNINA-9910812427503321 |
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Scattone Francesco <1956->
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| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rational curves on quasi-projective surfaces / / Seán Keel, James McKernan
| Rational curves on quasi-projective surfaces / / Seán Keel, James McKernan |
| Autore | Keel Seán |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (169 p.) |
| Disciplina |
510 s
516.3/52 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surfaces, Algebraic
Algebraic varieties |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0260-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Â1 Introduction and Statement of Results""; ""Â2 Glossary of notation and conventions""; ""Â3 Gorenstein del Pezzo surfaces""; ""Â4 Bug-Eyed covers""; ""Â5 Log deformation theory""; ""Â6 Criteria for log uniruledness""; ""Â7 Reduction to Ï€[sup(alg)][sub(1)](S[sup(0)]) = {1}""; ""Â8 Flushness and Preparation for the Hunt""; ""Â9 Bogomolov Bound""; ""Â10 Riemann Roch and Surfaces with Small Coefficient""; ""Â11 A partial classification of K[sub(T)]-contractions""; ""Â12 The linear system |K[sub(s)] + A|""; ""Â13 Classification of Bananas and Fences""
""Â14 T[sub(1)]a net""""Â15 g{A[sub(1)]) > 1""; ""Â16 A\ has a simple cusp""; ""Â17 A\ has a simple node""; ""Â18 Ai smooth""; ""Â19 The smooth banana""; ""Â20 Proof of (1.1) and corollaries""; ""Â21 A surface with Ï€[sup(alg)][sub(1)](S[sup(0)]) = {1} but no tiger""; ""Â22 Tigers, complements and toric pairs""; ""Â23 Classification of almost all rank one log del Pezzos""; "" Appendix L: Log terminal surface singularities and adjunction""; "" Appendix N: Normalisation of an algebraic space""; ""Index to Obscure or unconventional notation""; ""References"" |
| Record Nr. | UNINA-9910480635403321 |
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Keel Seán
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| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rational curves on quasi-projective surfaces / / Seán Keel, James McKernan
| Rational curves on quasi-projective surfaces / / Seán Keel, James McKernan |
| Autore | Keel Seán |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (169 p.) |
| Disciplina |
510 s
516.3/52 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surfaces, Algebraic
Algebraic varieties |
| ISBN | 1-4704-0260-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Â1 Introduction and Statement of Results""; ""Â2 Glossary of notation and conventions""; ""Â3 Gorenstein del Pezzo surfaces""; ""Â4 Bug-Eyed covers""; ""Â5 Log deformation theory""; ""Â6 Criteria for log uniruledness""; ""Â7 Reduction to Ï€[sup(alg)][sub(1)](S[sup(0)]) = {1}""; ""Â8 Flushness and Preparation for the Hunt""; ""Â9 Bogomolov Bound""; ""Â10 Riemann Roch and Surfaces with Small Coefficient""; ""Â11 A partial classification of K[sub(T)]-contractions""; ""Â12 The linear system |K[sub(s)] + A|""; ""Â13 Classification of Bananas and Fences""
""Â14 T[sub(1)]a net""""Â15 g{A[sub(1)]) > 1""; ""Â16 A\ has a simple cusp""; ""Â17 A\ has a simple node""; ""Â18 Ai smooth""; ""Â19 The smooth banana""; ""Â20 Proof of (1.1) and corollaries""; ""Â21 A surface with Ï€[sup(alg)][sub(1)](S[sup(0)]) = {1} but no tiger""; ""Â22 Tigers, complements and toric pairs""; ""Â23 Classification of almost all rank one log del Pezzos""; "" Appendix L: Log terminal surface singularities and adjunction""; "" Appendix N: Normalisation of an algebraic space""; ""Index to Obscure or unconventional notation""; ""References"" |
| Record Nr. | UNINA-9910788738603321 |
|
Keel Seán
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||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rational curves on quasi-projective surfaces / / Seán Keel, James McKernan
| Rational curves on quasi-projective surfaces / / Seán Keel, James McKernan |
| Autore | Keel Seán |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (169 p.) |
| Disciplina |
510 s
516.3/52 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surfaces, Algebraic
Algebraic varieties |
| ISBN | 1-4704-0260-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Â1 Introduction and Statement of Results""; ""Â2 Glossary of notation and conventions""; ""Â3 Gorenstein del Pezzo surfaces""; ""Â4 Bug-Eyed covers""; ""Â5 Log deformation theory""; ""Â6 Criteria for log uniruledness""; ""Â7 Reduction to Ï€[sup(alg)][sub(1)](S[sup(0)]) = {1}""; ""Â8 Flushness and Preparation for the Hunt""; ""Â9 Bogomolov Bound""; ""Â10 Riemann Roch and Surfaces with Small Coefficient""; ""Â11 A partial classification of K[sub(T)]-contractions""; ""Â12 The linear system |K[sub(s)] + A|""; ""Â13 Classification of Bananas and Fences""
""Â14 T[sub(1)]a net""""Â15 g{A[sub(1)]) > 1""; ""Â16 A\ has a simple cusp""; ""Â17 A\ has a simple node""; ""Â18 Ai smooth""; ""Â19 The smooth banana""; ""Â20 Proof of (1.1) and corollaries""; ""Â21 A surface with Ï€[sup(alg)][sub(1)](S[sup(0)]) = {1} but no tiger""; ""Â22 Tigers, complements and toric pairs""; ""Â23 Classification of almost all rank one log del Pezzos""; "" Appendix L: Log terminal surface singularities and adjunction""; "" Appendix N: Normalisation of an algebraic space""; ""Index to Obscure or unconventional notation""; ""References"" |
| Record Nr. | UNINA-9910808069703321 |
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Keel Seán
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| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Real algebraic surfaces / / Robert Silhol
| Real algebraic surfaces / / Robert Silhol |
| Autore | Silhol Robert <1950-> |
| Edizione | [1st ed. 1989.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] |
| Descrizione fisica | 1 online resource (XII, 216 p.) |
| Disciplina | 516.352 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Algebraic varieties
Surfaces, Algebraic Geometry, Algebraic |
| ISBN | 3-540-70649-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries on real algebraic varieties -- General results on real algebraic surfaces -- Algebraic cycles on real varieties and application to rational surfaces -- Digression on real abelian varieties and classification of real abelian surfaces -- Real ruled surfaces -- Rational real surfaces -- Real elliptic surfaces -- Real K3 surfaces. |
| Record Nr. | UNISA-996466603403316 |
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Silhol Robert <1950->
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Resolution of surface singularities : three lectures / / Vincent Cossart, Jean Giraud, and Ulrich Orbanz
| Resolution of surface singularities : three lectures / / Vincent Cossart, Jean Giraud, and Ulrich Orbanz |
| Autore | Cossart Vincent <1950-> |
| Edizione | [1st ed. 1984.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1984] |
| Descrizione fisica | 1 online resource (X, 134 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Surfaces, Algebraic
Singularities (Mathematics) |
| ISBN | 3-540-39125-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Embedded resolution of algebraic surfaces after abhyankar (Characteristic 0) -- Desingularization in low dimension -- Desingularization in dimension 2. |
| Record Nr. | UNISA-996466854703316 |
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Cossart Vincent <1950->
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1984] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Surfaces with K2=7 and pg=4 / / Ingrid C. Bauer
| Surfaces with K2=7 and pg=4 / / Ingrid C. Bauer |
| Autore | Bauer Ingrid C. <1967-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina |
510 s
516.3/52 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Surfaces, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0314-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. The canonical system""; ""Chapter 2. Some known results""; ""Chapter 3. Surfaces with K[sup(2)] = 7, p[sub(g)] = 4, such that the canonical system doesn't have a fixed part""; ""3.1. Surfaces of type (I.1)""; ""3.2. Surfaces of type (I.2)""; ""3.3. Surfaces of type (I.3)""; ""3.4. Surfaces of type (III)""; ""Chapter 4. |K| has a (non trivial) fixed part""; ""4.1. Surfaces of type (F)""; ""4.2. Surfaces of type (F')""; ""Chapter 5. The moduli space""
""5.1. The ""fine"" classification of surfaces with K[sup(2)sub(S)] = 7 and p[sub(g)] = 4 (revisited)""""5.2. Counting the number of moduli""; ""5.3. The irreducible components of the moduli space""; ""5.4. The fundamental group""; ""Bibliography"" |
| Record Nr. | UNINA-9910480982903321 |
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Bauer Ingrid C. <1967->
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| Providence, Rhode Island : , : American Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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