Real plane algebraic curves with asymptotically maximal number of even ovals

DOI10.1215/S0012-7094-06-13136-8zbMath1109.14040arXivmath/0411097OpenAlexW2008015631MaRDI QIDQ817955

Erwan Brugallé

Publication date: 23 March 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411097

Mathematics Subject Classification ID

Plane and space curves (14H50) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Asymptotic enumeration (05A16) Topology of real algebraic varieties (14P25)

Related Items (11)

Surfaces with many solitary points ⋮ Polynomial systems supported on circuits and dessins d'enfants ⋮ A tropical construction of a family of real reducible curves ⋮ Characterization of circuits supporting polynomial systems with the maximal number of positive solutions ⋮ Patchworking real algebraic hypersurfaces with asymptotically large Betti numbers ⋮ Bounding the Betti numbers of real hypersurfaces near the tropical limit ⋮ A nonalgebraic patchwork ⋮ Maximally positive polynomial systems supported on circuits ⋮ A real sextic surface with 45 handles ⋮ A sharp bound on the number of real intersection points of a sparse plane curve with a line ⋮ Symmetric plane curves of degree 7: pseudoholomorphic and algebraic classifications

Cites Work

• Riemann existence theorem and construction of real algebraic curves.
• Neutron stars in generalized \(f(R)\) gravity
• TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS
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