3 options
Equicharacteristic Tate Conjecture for Drinfeld modules / Oliver Percy Watson.
LIBRA Diss. POPM2003.337
Available from offsite location
LIBRA QA001 2003 .W341
Available from offsite location
- Format:
- Book
- Manuscript
- Microformat
- Thesis/Dissertation
- Author/Creator:
- Watson, Oliver Percy.
- Language:
- English
- Subjects (All):
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Local Subjects:
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Physical Description:
- v, 65 pages ; 29 cm
- Production:
- 2003.
- Summary:
- In this paper we study an analogue of a theorem of de Jong on the homomorphisms of Barsotti-Tate groups, transposed in our case to the setting of Drinfeld modules and their generalizations. In particular we prove a result on the extension of homomorphisms of ℘-divisible groups over an equal characteristic discrete valuation ring, where ℘ is a prime ideal of the ring of regular functions on an affine curve. We then use this result to deduce the equal characteristic Tate Conjecture for Drinfeld modules, which was up till now the one remaining unproved case of the Tate Conjecture in this instance.
- Notes:
- Adviser: Ching-Li Chai.
- Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 2003.
- Includes bibliographical references.
- Local Notes:
- University Microfilms order no.: 3109231.
- OCLC:
- 244974173
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 If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.