2021-08-03T15:22:35Zhttps://teapot.lib.ocha.ac.jp/oaioai:teapot.lib.ocha.ac.jp:000346812021-03-01T22:20:39ZSUR LA COURBURE DE BLASCHKE ET LE RANG DES TISSUS DE C^2HENAUT, ALAIN70685400application/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).departmental bulletin paperお茶の水女子大学2000-11-17application/pdfお茶の水女子大學自然科學報告1511125AN0003395800298190https://teapot.lib.ocha.ac.jp/record/34681/files/KJ00004470920.pdfeng