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

Author(s)

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

• Document type: Journal article
• Source: RESEARCH IN THE MATHEMATICAL SCIENCES; v. 11, n. 2, p. 22-pg., 2024-06-01.

Abstract

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)

• FAPESP's process: 19/21181-0 - New frontiers in Singularity Theory
• Grantee: Regilene Delazari dos Santos Oliveira
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 19/11415-3 - Classication of Real and Complex Singularities
• Grantee: Eder Leandro Sanchez Quiceno
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• FAPESP's process: 17/25902-8 - Classification of real and complex singularities
• Grantee: Eder Leandro Sanchez Quiceno
• Support Opportunities: Scholarships in Brazil - Doctorate