{"product_id":"pencils-of-cubics-and-algebraic-curves-in-the-real-projective-plane","title":"Pencils of Cubics and Algebraic Curves in the Real Projective Plane","description":"\u003cp\u003e\u003cstrong\u003e\u003cem\u003ePencils of Cubics and Algebraic Curves in the Real Projective Plane\u003c\/em\u003e\u003c\/strong\u003e thoroughly examines the combinatorial configurations of n generic points in R\u003ci\u003eP\u003c\/i\u003e². Especially how it is the data describing the mutual position of each point with respect to lines and conics passing through others.\u003c\/p\u003e\u003cp\u003eThe 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. \u003c\/p\u003e\u003cp\u003eThe 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. \u003c\/p\u003e\u003cp\u003eFeatures:\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eExamines how the shape of pencils depends on the corresponding configurations of points\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eIncludes topology of real algebraic curves\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eContains numerous applications and results around Hilbert’s sixteenth problem\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eAbout the Author:\u003c\/p\u003e\u003cp\u003eSéverine 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":54237651239256,"sku":"9781138590519","price":173.6,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781138590519_993cc2d8-281f-41bd-9a89-7e8d25da04cb.jpg?v=1769069738","url":"https:\/\/agendabookshop.com\/products\/pencils-of-cubics-and-algebraic-curves-in-the-real-projective-plane","provider":"Agenda Bookshop","version":"1.0","type":"link"}