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Licensed Unlicensed Requires Authentication Published by De Gruyter November 18, 2008

Adelic amoebas disjoint from open halfspaces

  • Sam Payne

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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