Classification of log del Pezzo surfaces of index <= 2:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bonn
Max-Planck-Inst.
2004
|
| Series: | MPI
2004,55 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 91 S. Ill. |
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Record in the Search Index
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| adam_text | CLASSIFICATION OF LOG DEL PEZZO SURFACES OF INDEX 2 VALERY ALEXEEV
VIACHESLAV V. NIKULIN SUB G8TTINGEN 7 215 154 886 (X MAX-PLANCK-LNSTITUT
FUR MATHEMATIK VIVATSGASSE 7 53111 BONN GERMANY UNIVERSITY OF GEORGIA
ATHENS, GA 30605 USA DEPARTMENT OF PURE MATHEMATICS UNIVERSITY OF
LIVERPOOL LIVERPOOL L69 3BX UK STEKLOV MATHEMATICAL INSTITUTE UL.
GUBKINA 8 MOSCOW 117966, GSP-1 RUSSIA MPI 04-55 CONTENTS INTRODUCTION 2
1. LOG DEL PEZZO SURFACES OF INDEX 2 AND SMOOTH DIVISOR THEOREM. 9
1.1. BASIC DEFINITIONS AND NOTATIONS 9 1.2. LOG TERMINAL SINGULARITIES
OF INDEX 2 10 1.3. BASIC FACTS ABOUT LOG DEL PEZZO SURFACES 11 1.4.
SMOOTH DIVISOR THEOREM 12 1.5. REDUCTION TO DPN SURFACES OF ELLIPTIC
TYPE 15 2. GENERAL THEORY OF DPN SURFACES 16 2.1. .GENERAL REMARKS 16
2.2. THE LATTICE S, AND THE MAIN INVARIANTS (R, A, 5) (EQUIVALENTLY (K,
G, 5)) OF PAIRS (X, 6) AND {Y, C) 17 2.3. EXCEPTIONAL CURVES ON (X, 9)
AND Y 19 2.4. ROOT INVARIANTS OF PAIRS (X, 6) 26 2.5. FINDING THE LOCUS
X 30 L VALERY ALEXEEV AND VIACHESLAV V. NIKULIN 2.6. CONDITIONS FOR THE
EXISTENCE OF ROOT INVARIANTS . 31 2.7. THREE TYPES OF NON-SYMPLECTIC
INVOLUTIONS OF K3 SURFACES AND DPN SURFACES. 34 3. CLASSIFICATION OF DPN
SURFACES OF ELLIPTIC TYPE 35 3.1. FUNDAMENTAL CHAMBERS OF W^ 2 ^(S) FOR
ELLIPTIC TYPE. 35 3.2. ROOT INVARIANTS, AND SUBSYSTEMS OF ROOTS IN
A^(M^) FOR ELLIPTIC CASE 40 3.3. CLASSIFICATION OF NON-SYMPLECTIC
INVOLUTIONS {X, 6) OF ELLIPTIC TYPE OF K3 SURFACES 43 3.4. PROOF OF
THEOREM 3.6 52 3.5. CLASSIFICATION OF DPN SURFACES OF ELLIPTIC TYPE 69
3.6. APPLICATION: ON CLASSIFICATION OF PLANE SEXTICS WITH SIMPLE
SINGULARITIES 79 4. CLASSIFICATION OF LOG DEL PEZZO SURFACES OF INDEX
2 AND APPLICATIONS 83 4.1. CLASSIFICAION OF LOG DEL PEZZO SURFACES OF
INDEX 2 83 4.2. APPLICATION: MINIMAL PROJECTIVE COMPACTIFICATIONS OF
AFFINE SURFACES IN P 2 BY RELATIVELY MINIMAL LOG DEL PEZZO SURFACES OF
INDEX 2. 87 4.3. SOME QUESTIONS 87 REFERENCES 89
|
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| author | Alexeev, Valery 1964- Nikulin, Vjačeslav V. |
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| spelling | Alexeev, Valery 1964- Verfasser (DE-588)137317255 aut Classification of log del Pezzo surfaces of index <= 2 by Valery Alexeev, Viacheslav V. Nikulin Bonn Max-Planck-Inst. 2004 91 S. Ill. txt rdacontent n rdamedia nc rdacarrier MPI 2004,55 Nikulin, Vjačeslav V. Verfasser aut Max-Planck-Institut <Bonn> MPI 2004,55 (DE-604)BV035932118 2004,55 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019973096&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Alexeev, Valery 1964- Nikulin, Vjačeslav V. Classification of log del Pezzo surfaces of index <= 2 |
| title | Classification of log del Pezzo surfaces of index <= 2 |
| title_auth | Classification of log del Pezzo surfaces of index <= 2 |
| title_exact_search | Classification of log del Pezzo surfaces of index <= 2 |
| title_full | Classification of log del Pezzo surfaces of index <= 2 by Valery Alexeev, Viacheslav V. Nikulin |
| title_fullStr | Classification of log del Pezzo surfaces of index <= 2 by Valery Alexeev, Viacheslav V. Nikulin |
| title_full_unstemmed | Classification of log del Pezzo surfaces of index <= 2 by Valery Alexeev, Viacheslav V. Nikulin |
| title_short | Classification of log del Pezzo surfaces of index <= 2 |
| title_sort | classification of log del pezzo surfaces of index 2 |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019973096&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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