Arrangements of an $M$-quintic with respect to a conic that maximally intersects its odd branch

DOI10.1090/S1061-0022-08-01014-5zbMath1206.14082OpenAlexW2130423954MaRDI QIDQ3060214

Stepan Yu. Orevkov

Publication date: 1 December 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-08-01014-5

zbMATH Keywords

almost complex structureisotopyalgebraic (un)realizabilityplane projective real curve

Mathematics Subject Classification ID

Real algebraic sets (14P05) Plane and space curves (14H50) Isotopy in differential topology (57R52) Algebraic topology on manifolds and differential topology (57R19)

Related Items (10)

Complex orientation formulas for \(M\)-curves of degree \(4d+1\) with 4 nests ⋮ On the disposition of cubic and pair of conics in a real projective plane ⋮ Real algebraic and pseudoholomorphic curves on the quadratic cone and smoothings of the singularity $X_{21}$ ⋮ On the topology of planar real decomposable curves of degree 8 ⋮ A nonalgebraic patchwork ⋮ Algorithmic recognition of quasipositive braids of algebraic length two. ⋮ Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves ⋮ Corrigendum to “A flexible affine 𝑀-sextic which is algebraically unrealizable” ⋮ Real algebraic curves of bidegree (5,5) on the quadric ellipsoid ⋮ Arrangements of a plane 𝑀-sextic with respect to a line

Cites Work

• Classification of flexible \(M\)-curves of degree 8 up to isotopy
• Link theory and oval arrangements of real algebraic curves
• Projective cones and \(M\)-quintics generic with respect to a maximally intersecting pair of ovals
• Riemann existence theorem and construction of real algebraic curves.
• A conic and an \(M\)-quintic with a point at infinity
• Topological properties of real algebraic varieties: du coté de chez Rokhlin
• COURBES ALGÉBRIQUES RÉELLES ET COURBES FLEXIBLES SUR LES SURFACES RÉGLÉES DE BASE [Copf P¹]
• A flexible affine 𝑀-sextic which is algebraically unrealizable
• QUASIPOSITIVITY TEST VIA UNITARY REPRESENTATIONS OF BRAID GROUPS AND ITS APPLICATIONS TO REAL ALGEBRAIC CURVES
• Flexible, algebraically unrealizable curves: rehabilitation of Hilbert-Rohn-Gudkov approach
• ON ARRANGEMENTS OF A PLANE REAL QUINTIC CURVE WITH RESPECT TO A PAIR OF LINES
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