On real algebraic links in the 3-sphere associated with mixed polynomials

Autor(es)

dos Santos, Raimundo N. Araujo ; Quiceno, Eder L. Sanchez

• Tipo de documento: Artigo Científico
• Fonte: RESEARCH IN THE MATHEMATICAL SCIENCES; v. 11, n. 2, p. 22-pg., 2024-06-01.

Resumo

In this paper we construct new classes of mixed singularities that provide realizations of real algebraic links in the 3-sphere. Especially, we describe this construction in the case of semiholomorphic polynomials, which are mixed polynomials that are holomorphic in one variable. Classifications and characterizations of real algebraic links are still open. These new classes of mixed singularities may help to shed light on the Benedetti-Shiota conjecture, which states that any fibered link on the 3-sphere is a real algebraic link. (AU)

• Processo FAPESP: 19/21181-0 - Novas fronteiras na Teoria de Singularidades
• Beneficiário: Regilene Delazari dos Santos Oliveira
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/11415-3 - Classificação de Singularidades Reais e Complexas
• Beneficiário: Eder Leandro Sanchez Quiceno
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 17/25902-8 - Classificação de singularidades reais e complexas
• Beneficiário: Eder Leandro Sanchez Quiceno
• Modalidade de apoio: Bolsas no Brasil - Doutorado