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oai:www.ideals.illinois.edu:2142/86898 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Maarten Bergvelt Bansal, Shivi Shekhar 2015-09-28T15:20:05Z 2015-09-28T15:20:05Z 10000-01-01 2008 2008 Lattice varieties play an important role in several areas of mathematics. In this thesis we investigate the properties of rational points on lattice varieties over Witt vectors with algebraically closed residue field in prime characteristic. These varieties are defined over a finite field. For varieties over finite field, the local zeta function encapsulates valuable number-theoretic information about the variety. We calculate explicitly the zeta functions of these lattice varieties. Made available in DSpace on 2015-09-28T15:20:05Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3314729.pdf: 1583046 bytes, checksum: 32a0d6bcbfe0d2943e24642b5c94e757 (MD5) Previous issue date: 2008 Embargo set by: Seth Robbins for item 88179 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 51 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008. http://hdl.handle.net/2142/86898 (MiAaPQ)AAI3314729 eng Mathematics Rational Points on Lattice Varieties text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.