The growth rate of the number of classes of real plane algebraic curves with the growth of the degree.

Orevkov, S. Yu.; Kharlamov, V. M.

Displaying similar documents to “The growth rate of the number of classes of real plane algebraic curves with the growth of the degree.”

Inner parallel curves and domains in the equiaffine geometry.

Leichtweiß, Kurt (1993)

Beiträge zur Algebra und Geometrie

Similarity:

On certain plane curves with many integral points.

Rodriguez Villegas, Fernando, Voloch, José Felipe (1999)

Experimental Mathematics

Similarity:

On curves and surfaces in illumination geometry.

Weiss, Gunter, Martini, Horst (2000)

Journal for Geometry and Graphics

Similarity:

Some characteristic numbers for nodal and cuspidal plane curves of any degree.

Paolo Aluffi (1991)

Manuscripta mathematica

Similarity:

Erratum: “Curves on generic hypersurfaces”

H. Clemens (1987)

Annales scientifiques de l'École Normale Supérieure

Similarity:

Hyperelliptic plane curves of type $(d, d - 2)$ .

Sakai, Fumio, Salem, Mohammad, Tono, Keita (2010)

Beiträge zur Algebra und Geometrie

Similarity:

Real Algebraic Curves as Complete Intersections.

Wojciech Kucharz (1987)

Mathematische Zeitschrift

Similarity:

On inflection points, monomial curves, and hypersurfaces containing projective curves.

S. L' vovsky (1996)

Mathematische Annalen

Similarity:

A formula for the Cartier operator on plane algebraic curves.

José Felipe Voloch, Karl-Otto Stöhr (1987)

Journal für die reine und angewandte Mathematik

Similarity:

Some (non-)elimination results for curves in geometric structures

Serge Randriambololona, Sergei Starchenko (2011)

Fundamenta Mathematicae

Similarity:

We show that the first order structure whose underlying universe is ℂ and whose basic relations are all algebraic subsets of ℂ² does not have quantifier elimination. Since an algebraic subset of ℂ² is either of dimension ≤ 1 or has a complement of dimension ≤ 1, one can restate the former result as a failure of quantifier elimination for planar complex algebraic curves. We then prove that removing the planarity hypothesis suffices to recover quantifier elimination: the structure with...

Some Criteria for Finite and Infinite Monodromy of Plane Algebraic Curves.

J.M. Woods (1974)

Inventiones mathematicae

Similarity:

On irregular links at infinity of algebraic plane curves.

Walter D. Neumann, Le Van Thanh (1993)

Mathematische Annalen

Similarity:

On nodal plane curves.

Z. Ran (1986)

Inventiones mathematicae

Similarity:

Topology of Algebraic Curves.

L.S. Hulburt (1891/92)

Bulletin of the New York Mathematical Society

Similarity: