On quartic threefolds with a double line. II

✍ Scribed by A Conte; J.P Murre

• Book ID: 103998142
• Publisher: Elsevier Science
• Year: 1977
• Weight: 641 KB
• Volume: 80
• Category: Article
• ISSN: 1385-7258
• DOI: 10.1016/1385-7258(77)90065-8

✦ Synopsis

W=p(E'/F').

Geometrically, for any T' ES', the fibre Wr, can be identified with the set of lines in P(E)T zP(#)Tt through the point R. we will always use this identification in the sequel. We denote by n": W --+ 8' the projection of W onto S'.

Using this geometric description for the points P' E W we see that we have a rational transformation :

(37) y:W+Y defined generically by (see fig. 2):

P*I+P