This article is available for purchase or by subscription. See below.
Abstract
|
An amoeba is the image of a subvariety of an algebraic torus under the logarithmic
moment map. We consider some qualitative aspects of amoebas, establishing results
and posing problems for further study. These problems include determining the
dimension of an amoeba, describing an amoeba as a semialgebraic set, and identifying
varieties whose amoebas are a finite intersection of amoebas of hypersurfaces. We
show that an amoeba which is not of full dimension is not such a finite intersection if
its variety is nondegenerate and we describe amoebas of lines as explicit
semialgebraic sets.
|
PDF Access Denied
We have not been able to recognize your IP address
3.145.130.31
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
amoeba, coamoeba, tropical geometry
|
Mathematical Subject Classification
Primary: 14T99, 14T05, 32A60
|
Milestones
Received: 16 February 2021
Revised: 25 June 2021
Accepted: 2 July 2021
Published: 19 June 2022
|
|