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Showing papers in "Mathematische Zeitschrift in 1990"




Journal ArticleDOI
TL;DR: In this article, the authors present a list of the most frequently used elliptic surfaces for the case of two-dimensional curves, including the following: 1. Po l a r s of p lane curves, and 2.
Abstract: I n t r o d u c t i o n . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . l Legend . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 The list . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 I. D i s c r i m i n a n t cons ide ra t i ons . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 If. Po l a r s of p lane curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 IlI. In t r ins ic g e o m e t r y on g e n u s two curves . . . . . . . . . . . . . . . . . . . . . . . 19 IV. Ell iptic qua r t i c s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 V. R a t i o n a l qua r t i c s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 The reduc ib le case . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 To r s ion g r o u p s of ra t iona l elliptic surfaces . . . . . . . . . . . . . . . . . . . . . . . 43 Epi logue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46

189 citations


Journal ArticleDOI
Richard Moeckel1
TL;DR: In this paper, the probem of central configurations of the N-body problem has been studied in the context of celestial mechanics and has since taken on a life of its own.
Abstract: This paper concerns an old problem which arose in celestial mechanics and has since taken on a life of its own: the probem of central configurations of the N-body problem

176 citations



Journal ArticleDOI
TL;DR: In this article, it was shown that every strongly q-complete subvariety of a complex analytic space has a fundamental system of strongly qcomplete neighborhoods, and that L-cohomology theory readily implies Ohsawa's Hodge decomposition and Lefschetz isomorphism theorems.
Abstract: — It is shown that every strongly q–complete subvariety of a complex analytic space has a fundamental system of strongly q–complete neighborhoods. As a consequence, we find a simple proof of Ohsawa’s result that every non compact irreducible n–dimensional analytic space is strongly n–complete. Finally, it is shown that L–cohomology theory readily implies Ohsawa’s Hodge decomposition and Lefschetz isomorphism theorems for absolutely q–convex manifolds.

120 citations














Journal ArticleDOI
TL;DR: In this article, an enviat per a la seva publicacio en una revista cientifica: Mathematische Zeitschrift, Vol. 203, p. 527-533.
Abstract: Preprint enviat per a la seva publicacio en una revista cientifica: Mathematische Zeitschrift. 1990, Vol. 203, p. 527-533.


Journal ArticleDOI
TL;DR: On etudie des immersions affines de varietes statistiques dans l'espace affine as discussed by the authors, on etablit deux resultats sur le rapport entre l'existence de telles immersion and le fait que les variete statistiques connexes en question ont des courbures constantes.
Abstract: On etudie des immersions affines de varietes statistiques dans l'espace affine. Plus particulierement on etablit deux resultats sur le rapport entre l'existence de telles immersions et le fait que les varietes statistiques connexes en question ont des courbures constantes