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

Autor(es)

Viana Bedoya, Natalia A. ^[1] ; Goncalves, Daciberg Lima ^[2] ; Kudryavtseva, Elena A. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS; v. 27, n. 5 APR 2018.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 12/24454-8 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático