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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Indecomposable branched coverings over the projective plane by surfaces M with chi(M) <= 0

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Author(s):
Viana Bedoya, Natalia A. [1] ; Goncalves, Daciberg Lima [2] ; Kudryavtseva, Elena A. [3]
Total Authors: 3
Affiliation:
[1] Univ Fed Sao Carlos, Dept Math, Rod Washington Luis, Km 235, CP 676, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Inst Math & Stat, Dept Math, Rua Matao 1010, BR-05508090 Sao Carlos, SP - Brazil
[3] Moscow MV Lomonosov State Univ, Dept Math & Mech, Moscow 119992 - Russia
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS; v. 27, n. 5 APR 2018.
Web of Science Citations: 0
Abstract

In this work, we study the decomposability property of branched coverings of degree d odd, over the projective plane, where the covering surface has Euler characteristic <= 0. The latter condition is equivalent to say that the defect of the covering is greater than d. We show that, given a datum D = [D-1, ... , D-s] with an even defect greater than d, it is realizable by an indecomposable branched covering over the projective plane. The case when d is even is known. (AU)

FAPESP's process: 12/24454-8 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants