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Record Nr. |
UNINA9910480522703321 |
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Autore |
Hironaka Eriko <1962-> |
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Titolo |
Abelian coverings of the complex projective plane branched along configurations of real lines / / Eriko Hironaka |
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Pubbl/distr/stampa |
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1993 |
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©1993 |
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ISBN |
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Descrizione fisica |
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1 online resource (98 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 105, Number 502 |
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Disciplina |
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Soggetti |
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Surfaces, Algebraic |
Covering spaces (Topology) |
Algebraic varieties |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 1993, Volume 105, Number 502 (third of 6 numbers)"--Cover. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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