A nonalgebraic patchwork

DOI10.1007/s00209-007-0232-2zbMath1142.14037arXivmath/0701246OpenAlexW2040006696MaRDI QIDQ926241

Erwan Brugallé, Benoît Bertrand

Publication date: 27 May 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701246

zbMATH Keywords

pseudoholomorphic curvespatchworkingrational ruled surfacestopology of real algebraic curvesViro method

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Plane and space curves (14H50) Topology of real algebraic varieties (14P25) Pseudoholomorphic curves (32Q65)

Cites Work

• Real plane algebraic curves with asymptotically maximal number of even ovals
• Pseudo holomorphic curves in symplectic manifolds
• Link theory and oval arrangements of real algebraic curves
• Gluing of singular and critical points
• Asymptotically maximal families of hypersurfaces in toric varieties
• Arrangements of an $M$-quintic with respect to a conic that maximally intersects its odd branch
• A Viro theorem without convexity hypothesis for trigonal curves
• A flexible affine 𝑀-sextic which is algebraically unrealizable
• Enumerative tropical algebraic geometry in ℝ²
• Flexible, algebraically unrealizable curves: rehabilitation of Hilbert-Rohn-Gudkov approach
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