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Viro's patchworking disproves Ragsdale's conjecture

作者: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
出版商: [Minneapolis] : The Geometry Center, ©1997.
版本/格式:   VHS影像 : VHS錄影帶 : 動畫   影像資料 : 英語
資料庫:WorldCat
提要:
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  再讀一些...
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詳細書目

提及的人: O I︠A︡ Viro; Virginia Ragsdale; Virginia Ragsdale; O I︠A︡ Viro
資料類型: 動畫, 錄影
文件類型: 影像資料
所有的作者/貢獻者: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
OCLC系統控制編碼: 63886547
描述: 1 videocassette (8 min.) : sd., col. ; 1/2 in. + notes (1 sheet)
詳述: VHS.
責任: written and produced by Jesús A. De Loera and Frederick J. Wicklin.

摘要:

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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連結資料


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