2024-03-29T00:36:10Z
https://teapot.lib.ocha.ac.jp/oai
oai:teapot.lib.ocha.ac.jp:00034681
2022-12-12T05:39:07Z
347:359:672
SUR LA COURBURE DE BLASCHKE ET LE RANG DES TISSUS DE C^2
HENAUT, ALAIN
400
application/pdf
紀要論文
Web geometry is devoted to the study of families of foliations which are in general position. We restrict ourselves to the local situation, in the neighborhood of the origin in C^2, with d≥1 complex analytic foliations of curves in general position. Basic invariants of webs in (C^2, 0) and examples of such configurations are presented. We emphasize some problems of effectivity to characterize d-webs W(d) in (C^2, 0). Rank questions and curvature are discussed. The point of view adopted here is the concrete initial data given by the differential equation F(x,y,y')=0, which is in correspondence with W(d). For this study, we use special meromorphic 1-forms on the surface defined by the equation F(x, y, p)=0. In particular, using these methods, we present an explicit way to find the Blaschke curvature for a 3-web in (C^2, 0).
お茶の水女子大学
2000-11-17
eng
departmental bulletin paper
http://hdl.handle.net/10083/866
https://teapot.lib.ocha.ac.jp/records/34681
AN00033958
00298190
お茶の水女子大學自然科學報告
51
1
11
25
https://teapot.lib.ocha.ac.jp/record/34681/files/KJ00004470920.pdf
application/pdf
1.2 MB
2018-04-19