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Adelic amoebas disjoint from open halfspaces
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Sam Payne
Published/Copyright:
November 18, 2008
Abstract
We show that a conjecture of Einsiedler, Kapranov, and Lind on adelic amoebas of subvarieties of tori and their intersections with open halfspaces of complementary dimension is false for subvarieties of codimension greater than one that have degenerate projections to smaller dimensional tori. We prove a suitably modified version of the conjecture using algebraic methods, functoriality of tropicalization, and a theorem of Zhang on torsion points in subvarieties of tori.
Received: 2007-06-27
Published Online: 2008-11-18
Published in Print: 2008-December
© Walter de Gruyter Berlin · New York 2008
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Articles in the same Issue
- On mixing and ergodicity in locally compact motion groups
- Path integrals on manifolds by finite dimensional approximation
- The Schwartz algebra of an affine Hecke algebra
- Adelic amoebas disjoint from open halfspaces
- Generalized Kac-Moody algebras, automorphic forms and Conway's group II
- A Siegel-Weil formula for automorphic characters: Cubic variation of a theme of Snitz
- Calibrated manifolds and Gauge theory
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