caa a22 4500 465820174 CHVBK 20180323112133.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01765318 doi (NATIONALLICENCE)springer-10.1007/BF01765318 Coppens Marc Katholieke Industriële Hogeschool der Kempen, Campus H. I. Kempen Kleinhoefstraat 4, B 2440, Geel, Belgium aut Some remarks on the schemes W d r [Elektronische Daten] [Marc Coppens] Summary: Let X be an irreducible smooth projective curve of genus g. Let ϱ d r (g) be the Brill-Noether Number. In this paper we prove some results concerning the schemes W d r of special divisors. 1) Suppose dim (W d−1 r )=ϱ d− 1 r (g)⩾0 and ϱ d r (g) < g. If W d− 1 r is a reduced (resp. irreducible) scheme, then W d r is a reduced (resp. irreducible) scheme. 2) Under certain conditions, if Z is a generically reduced irreducible component of W d−1 r then Z ⊕ W 1 0 is a generically reduced irreducible component of W d r . For r=1, we obtain some further results in this direction. 3) As an application of it we are able to prove some dimension theorems for the schemes W d 1 . Fondazione Annali di Matematica Pura ed Applicata, 1990 Annali di Matematica Pura ed Applicata Springer-Verlag 157/1(1990-12-01), 183-197 0373-3114 157:1<183 1990 157 10231 https://doi.org/10.1007/BF01765318 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01765318 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Coppens Marc Katholieke Industriële Hogeschool der Kempen, Campus H. I. Kempen Kleinhoefstraat 4, B 2440, Geel, Belgium aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata Springer-Verlag 157/1(1990-12-01), 183-197 0373-3114 157:1<183 1990 157 10231 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer