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A Mordell inequality for lattices over maximal orders
Author(s):
Stephanie
Vance
Journal:
Trans. Amer. Math. Soc.
362
(2010),
3827-3839.
MSC (2000):
Primary 11H06, 11H31
Posted:
February 24, 2010
MathSciNet review:
2601611
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Abstract:
In this paper we prove an analogue of Mordell's inequality for lattices in finite-dimensional complex or quaternionic Hermitian space that are modules over a maximal order in an imaginary quadratic number field or a totally definite rational quaternion algebra. This inequality implies that the  -dimensional Barnes-Wall lattice has optimal density among all  -dimensional lattices with Hurwitz structures.
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Additional Information:
Stephanie
Vance
Affiliation:
Department of Mathematics, University of Washington, Box 354350, Seattle, Washington 98195
Address at time of publication:
Department of Chemistry, Computer Science, and Mathematics, Adams State College, 208 Edgemont Boulevard, Alamosa, Colorado 81102
Email:
slvance@math.washington.edu, slvance@adams.edu
DOI:
10.1090/S0002-9947-10-04989-5
PII:
S 0002-9947(10)04989-5
Received by editor(s):
October 14, 2008
Posted:
February 24, 2010
Additional Notes:
The author was supported by an ARCS Foundation fellowship and a research assistantship funded by Microsoft Research
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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