MARC 主機 00000nam 2200000 a 4500
001 AAI3379670
005 20101111135932.5
008 101111s2009 ||||||||s|||||||| ||eng d
020 9781109488258
035 (UMI)AAI3379670
040 UMI|cUMI
100 1 Masagutov, Vakhid E
245 10 Infinitely generated analytic sheaves|h[electronic
resource]
300 70 p
500 Source: Dissertation Abstracts International, Volume: 70-
11, Section: B, page: 6923
500 Adviser: Laszlo Lempert
502 Thesis (Ph.D.)--Purdue University, 2009
520 Classically in complex analysis an analytic sheaf is a
sheaf of modules over the structure sheaf O of rings.
Motivated by problems in infinite dimensional holomorphy,
we investigate stronger notions of analyticity which are
suitable for the analysis of infinitely generated sheaves.
The sheaves that we consider are analytic in the sense of
Lempert-Patyi and analytic Frechet in the sense of
Leiterer. In this thesis we demonstrate uniqueness of
analytic structures on a certain class of O -modules. We
also show that higher direct image sheaves do not always
carry a suitable analytic structures. Along the way, we
provide a few counter-examples to Grauert's Direct Image
Theorem for infinitely generated analytic sheaves
590 School code: 0183
650 4 Mathematics
690 0405
710 2 Purdue University.|bMathematics
773 0 |tDissertation Abstracts International|g70-11B
856 40 |uhttp://pqdd.sinica.edu.tw/twdaoapp/servlet/
advanced?query=3379670
912 PQDT
