Generalized amoebas for subvarieties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi mathvariant="normal">GL</mml:mi> <mml:mi>n</mml:mi>
<jats:p> The paper addresses the problem of generalizing theory of amoebas from tropical geometry in algebraic torus to other reductive algebraic groups. The logarithm of singular values of a matrix has been suggested as an analogue of the logarithm map on the algebraic torus <mm...