Abstract
In this paper we are interested in the following problem: Suppose V is an analytic subvariety of a (not necessarily reduced) complex analytic space X, F is a coherent analytic sheaf on XV, and 0: XV -X is the inclusion map. When is Gq(Y) coherent (where Gq(Y) is the qth direct image of Y under 0)? The case q = 0 is very closely related to the problem of extending Y' to a coherent analytic sheaf on X. This problem of extension has already been dealt with in Frisch-Guenot [1], Serre [9], Siu [11]-[14], Thimm [17], and Trautmann [18]-[20]. So, in our investigation we assume that Y' admits a coherent analytic extension on all of X. In reponse to a question of Serre f9, p. 366], Tratumann has obtained the following in [21]:
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
