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Abelian coverings of the complex projective plane branched along configurations of real lines / / Eriko Hironaka



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Autore: Hironaka Eriko <1962-> Visualizza persona
Titolo: Abelian coverings of the complex projective plane branched along configurations of real lines / / Eriko Hironaka Visualizza cluster
Pubblicazione: Providence, Rhode Island, United States : , : American Mathematical Society, , 1993
©1993
Descrizione fisica: 1 online resource (98 p.)
Disciplina: 514
Soggetto topico: Surfaces, Algebraic
Covering spaces (Topology)
Algebraic varieties
Note generali: "September 1993, Volume 105, Number 502 (third of 6 numbers)"--Cover.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""Contents""; ""Introduction""; ""I. Preliminaries""; ""I.1 Branched coverings of smooth varieties""; ""I.2 The topology of branched coverings""; ""I.3 Inertia and stabilizer subgroups""; ""I.4 Criterion for smoothness of coverings""; ""I.5 First Betti number and Picard number""; ""II. Intersections of Curves on Covering Surfaces""; ""II.1 Lifting data""; ""II.2 Intersection graphs""; ""II.3 Intersection formulas for covering surfaces""; ""III. Hirzebruch Covering Surfaces""; ""III.1 Hirzebruch covering surfaces""; ""III.2 Fibrations and monodromy""
""III.3 Fundamental group of the complement of real lines""""III.4 Lifting data for the branch locus""; ""IV. Algorithm for Computing the First Betti Number""; ""IV.1 Input""; ""IV.2 Step 1: First Betti number of unbranched part""; ""IV.3 Step 2: Intersection matrix for curves above branch locus""; ""V. Examples""; ""V.1 Classification of Hirzebruch coverings""; ""V.2 Lines in general position""; ""V.3 Fibrations""; ""V.4 Coverings birational to the product of two curves""; ""V.5 K3 surfaces and elliptic surfaces""; ""V.6 Calculations of invariants""; ""References""
Titolo autorizzato: Abelian coverings of the complex projective plane branched along configurations of real lines  Visualizza cluster
ISBN: 1-4704-0079-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910788752103321
Lo trovi qui: Univ. Federico II
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Serie: Memoirs of the American Mathematical Society ; ; Volume 105, Number 502.