WRONSKI ALGEBRA SYSTEMS ON FAMILIES OF SINGULAR CURVES

Authors
Citation
E. Esteves, WRONSKI ALGEBRA SYSTEMS ON FAMILIES OF SINGULAR CURVES, Annales Scientifiques de l'Ecole Normale Superieure, 29(1), 1996, pp. 107-134
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00129593
Volume
29
Issue
1
Year of publication
1996
Pages
107 - 134
Database
ISI
SICI code
0012-9593(1996)29:1<107:WASOFO>2.0.ZU;2-1
Abstract
We replace the sheaves of principal parts on a family of reduced, loca l complete intersection curves by natural sheaves of algebras that are locally free. Our motivation is to be able to associate to any linear system on the family a Wronski system, as defined by Laksov and Thoru p. By applying their general theory of Wronski systems, we obtain in p articular a Weierstrass divisor on the family, in case there are no de generate components on a general fibre.