Verfügbarkeit: Classification of log del Pezzo surfaces of index <= 2

Classification of log del Pezzo surfaces of index <= 2:

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Bibliographische Detailangaben
Beteiligte Personen:	Alexeev, Valery 1964- (VerfasserIn), Nikulin, Vjačeslav V. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Bonn Max-Planck-Inst. 2004
Schriftenreihe:	MPI 2004,55
Links:	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
Umfang:	91 S. Ill.

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Datensatz im Suchindex

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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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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
volume_link	(DE-604)BV035932118
work_keys_str_mv	AT alexeevvalery classificationoflogdelpezzosurfacesofindex2 AT nikulinvjaceslavv classificationoflogdelpezzosurfacesofindex2

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