Curves of maximum genus in range A and stick-figures-Reference-Cited by-同舟云学术

Curves of maximum genus in range A and stick-figures

Published:1997 Issue:11 Volume:349 Page:4589-4608
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Ballico Edoardo,Bolondi Giorgio,Ellia Philippe,Mirò-Roig Rosa

Abstract

In this paper we show the existence of smooth connected space curves not contained in a surface of degree less than m m , with genus maximal with respect to the degree, in half of the so-called range A. The main tool is a technique of deformation of stick-figures due to G. Fløystad.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1997-349-11/S0002-9947-97-01917-X/S0002-9947-97-01917-X.pdf

Reference13 articles.

1. A program for space curves;Ballico, E.;Rend. Sem. Mat. Univ. Politec. Torino,1986

2. Sur le genre maximal des courbes gauches de degré 𝑑 non sur une surface de degré 𝑠-1;Ellia, Philippe;J. Reine Angew. Math.,1991

3. Sections planes et majoration du genre des courbes gauches;Ellia, Philippe,1992

4. Construction of space curves with good properties;Fløystad, Gunnar;Math. Ann.,1991

5. Genre des courbes de l’espace projectif;Gruson, Laurent,1978

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