Pencils of Cubics and Algebraic Curves in the Real Projective Plane

(Author) Severine Fiedler - Le Touze
Format: Paperback
120.00 Price: £115.00 (4% off)

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP2. Especially how it is the data describing the mutual position of each point with respect to lines and conics passing through others. The first section in this book answers questions such as, can one count the combinatorial configurations up to the action of the symmetric group? How are they pairwise connected via almost generic configurations? These questions are addressed using rational cubics and pencils of cubics for n = 6 and 7. The book's second section deals with configurations of eight points in the convex position. Both the combinatorial configurations and combinatorial pencils are classified up to the action of the dihedral group D8. Finally, the third section contains plentiful applications and results around Hilbert's sixteenth problem. The author meticulously wrote this book based upon years of research devoted to the topic. The book is particularly useful for researchers and graduate students interested in topology, algebraic geometry and combinatorics. Features: Examines how the shape of pencils depends on the corresponding configurations of points Includes topology of real algebraic curves Contains numerous applications and results around Hilbert's sixteenth problem 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.

Information
Publisher:
Taylor & Francis Ltd
Format:
Paperback
Number of pages:
None
Language:
en
ISBN:
9781138590519
Publish year:
2018
Publish date:
Nov. 26, 2018

Severine Fiedler - Le Touze

Severine Fiedler-Le Touze is a French author known for her novel "The Secret Lives of Trees," which explores themes of nature, family, and identity. Her lyrical prose and vivid imagery have earned her critical acclaim, making her a prominent voice in contemporary literature for her evocative storytelling and insightful reflections on the human experience.

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