2 options
Ramification of primes in fields of moduli of three-point covers.
Connect to full text Available online
View online- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Obus, Andrew.
- Language:
- English
- Subjects (All):
- Mathematics.
- 0405.
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Local Subjects:
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- 0405.
- Physical Description:
- 139 pages
- Contained In:
- Dissertation Abstracts International 70-06B.
- System Details:
- Mode of access: World Wide Web.
- text file
- Summary:
- We examine in detail the stable reduction of three-point G-Galois covers of the projective line over a complete discrete valuation field of mixed characteristic (0, p), where G has a cyclic p-Sylow subgroup. In particular, we obtain results about ramification of primes in the minimal field of definition of the stable model of such a cover, under certain additional assumptions on G (one such sufficient, but not necessary set of assumptions is that G is solvable and p ≠ 2). This has the following consequence: Suppose f : Y → P1 is a three-point G-Galois cover defined over C , where G has a cyclic p-Sylow subgroup of order pn, and these additional assumptions on G are satisfied. Then the nth higher ramification groups above p for the upper numbering for the extension K/Q vanish, where K is the field of moduli of f.
- Notes:
- Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 2009.
- Source: Dissertation Abstracts International, Volume: 70-06, Section: B, page: 3546.
- Adviser: David Harbater.
- Local Notes:
- School code: 0175.
- ISBN:
- 9781109236125
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.