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Viro's patchworking disproves Ragsdale's conjecture

저자: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
출판사: [Minneapolis] : The Geometry Center, ©1997.
판/형식:   VHS 비디오 : VHS 테이프 : 애니메이션   시각 자료 : 영어
데이터베이스:WorldCat
요약:
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  더 읽기…
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명시된 사람: O I︠A︡ Viro; Virginia Ragsdale; Virginia Ragsdale; O I︠A︡ Viro
자료 유형: 애니메이션, 비디오레코딩
문서 형식: 시각 자료
모든 저자 / 참여자: Jesús A De Loera; Frederick J Wicklin; University of Minnesota. Geometry Center.
OCLC 번호: 63886547
설명: 1 videocassette (8 min.) : sd., col. ; 1/2 in. + notes (1 sheet)
세부사항: VHS.
책임: written and produced by Jesús A. De Loera and Frederick J. Wicklin.

초록:

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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