Pencils of Cubics and Algebraic Curves in the Real Projective Plane

Pencils of Cubics and Algebraic Curves in the Real Projective Plane

by Séverine Fiedler - Le Touzé

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Product Details

ISBN-13: 9780429838248
Publisher: CRC Press
Publication date: 10/22/2018
Sold by: Barnes & Noble
Format: NOOK Book
Pages: 226
File size: 11 MB
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About the Author

Séverine Fiedler-le Touzé has published several papers on this topic and has been invited to present at many conferences. She holds a Ph.D. from University Rennes1 and was a post-doc at the Mathematical Sciences Research Institute in Berkeley, California.

Table of Contents

Rational pencils of cubics and configurations of six or seven points in RP²

Points, lines and conics in the plane

Configurations of six points

Configurations of seven points

Pencils of cubics with eight base points lying in convex position in RP²

Pencils of cubics

List of conics

Link between lists and pencils

Pencils with reducible cubics

Classification of the pencils of cubics


Application to an interpolation problem

Algebraic curves

Hilbert’s 16th problem

M-curves of degree 9

M-curves of degree 9 with deep nests

M-curves of degree 9 with four or three nests

M-curves of degree 9 or 11 with non-empty oval

Curves of degree 11 with many nests

Totally real pencils of curves

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