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Topological properties of real algebraic varieties: du c\^ot\'e de chez Rokhlin

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arxiv math/0004134 v1 pith:HEFEJIRI submitted 2000-04-20 math.AG

A.Degtyarev , V.Kharlamov This is my paper · ORCID
classification math.AG
keywords algebraicrealresultsrokhlinsurfacesvarietiesachievementsarnold
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The survey gives an overview of the achievements in topology of real algebraic varieties in the direction 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.

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  1. Quadratically Enriched Plane Curve Counting via Tropical Geometry

    math.AG 2025-02 conditional novelty 7.0 of 10

    A correspondence theorem equates quadratically enriched algebraic curve counts with conjugate point conditions to tropical counts with double point conditions, and a floor diagram algorithm computes them.

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