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Indecomposable branched coverings over the projective plane by surfaces M with χ(M) ≤ 0

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Author(s):
Viana Bedoya, Natalia A. ; Goncalves, Daciberg Lima ; Kudryavtseva, Elena A.
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS; v. 27, n. 5, p. 23-pg., 2018-04-01.
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