Indecomposable branched coverings over the projective plane by surfaces M with χ(M) ≤ 0-Reference-Cited by-同舟云学术

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

Published:2018-04 Issue:05 Volume:27 Page:1850030
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Bedoya Natalia A. Viana¹,Gonçalves Daciberg Lima²^ORCID,Kudryavtseva Elena A.³

Affiliation:

1. Department of Mathematics, University Federal of São Carlos, Rod. Washington Luis, Km. 235, CP 676, 13565-905 São Carlos, SP, Brazil

2. Department of Mathematics, Institute of Mathematics, and Statistics, University of São Paulo, Rua do Matão 1010, CEP 05508-090, São Paulo, SP, Brazil

3. Department of Mathematics and Mechanics, Moscow State University, Moscow 119992, Russia

Abstract

In this work, we study the decomposability property of branched coverings of degree [Formula: see text] odd, over the projective plane, where the covering surface has Euler characteristic [Formula: see text]. The latter condition is equivalent to say that the defect of the covering is greater than [Formula: see text]. We show that, given a datum [Formula: see text] with an even defect greater than [Formula: see text], it is realizable by an indecomposable branched covering over the projective plane. The case when [Formula: see text] is even is known.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821651850030X

Reference13 articles.

1. Decomposability problem on branched coverings

2. Composites of open maps

3. Realization of primitive branched coverings over closed surfaces following the hurwitz approach

4. Realization of Primitive Branched Coverings Over Closed Surfaces