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Viro's patchworking disproves Ragsdale's conjecture Titelvorschau
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Viro's patchworking disproves Ragsdale's conjecture

Verfasser/in: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
Verlag: [Minneapolis] : The Geometry Center, ©1997.
Ausgabe/Format   VHS-Video : VHS-Band : Animation   Bildmaterial : Englisch
Datenbank:WorldCat
Zusammenfassung:
This animated video explains new developments concerning Hilbert's sixteenth problem, still unsolved, dealing with ways nonsingular level sets of polynomials can be arranged in the projected plane. Mathematician Virginia Ragsdale had conjectured an upper bound on the number of topological circles resulting from algebraic curves of degree 2k. After almost 90 years, Oleg Viro has proposed a new combinatorial method  Weiterlesen…
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Details

Name: O I︠A︡ Viro; Virginia Ragsdale; Virginia Ragsdale; O I︠A︡ Viro
Medientyp: Animation, Videoaufnahme
Dokumenttyp: Bildmaterial
Alle Autoren: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
OCLC-Nummer: 63886547
Beschreibung: 1 videocassette (8 min.) : sd., col. ; 1/2 in. + notes (1 sheet)
Details: VHS.
Verfasserangabe: written and produced by Jesús A. De Loera and Frederick J. Wicklin.

Abstract:

This animated video explains new developments concerning Hilbert's sixteenth problem, still unsolved, dealing with ways nonsingular level sets of polynomials can be arranged in the projected plane. Mathematician Virginia Ragsdale had conjectured an upper bound on the number of topological circles resulting from algebraic curves of degree 2k. After almost 90 years, Oleg Viro has proposed a new combinatorial method for constructing curves, known as patchworking, which has shown counter-examples to the Ragsdale Conjecture.

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