Open AccessSome open questions in real algebraic geometry
Author(s) -
Wojciech Kucharz
Publication year - 2022
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-5278
Subject(s) - geometry , algebraic geometry , real algebraic geometry , geometry and topology , focus (optics) , function field of an algebraic variety , derived algebraic geometry , algebraic number , mathematics , differential algebraic geometry , algebra over a field , topology (electrical circuits) , algebraic geometry and analytic geometry , computer science , pure mathematics , physics , combinatorics , mathematical analysis , optics , differential algebraic equation , ordinary differential equation , differential equation
Many interesting problems arise on the borderline between real algebraic geometry and topology. We focus on 12 open questions. Some of them come from regulous geometry, which emerged as a subfield of real algebraic geometry less than 15 years ago.