Topological properties of real algebraic varieties: Rokhlin's way.

Alexander Degtyarev , Viatcheslav Kharlamov (1)

1 IRMA - Institut de Recherche Mathématique Avancée

This is a survey which gives an overview of the achievements in topology of real algebraic varieties initiated in the early 70th by V.I.Arnold and V.A.Rokhlin. We make an attempt to systematize the principal results in the subject. After an exposition of general tools and results, special attention is paid to surfaces and curves on surfaces.

Mots clés: "real algebraic varieties; real algebraic surfaces; real algebraic curves; Hilbert 16th problem"; real algebraic varieties; Hilbert 16th problem

Domaines: Géométrie algébrique [math.AG]

Alexander Degtyarev, Viatcheslav Kharlamov. Topological properties of real algebraic varieties: Rokhlin's way.. 1999. ⟨hal-00129721⟩