Amoebas of cuspidal strata for classical discriminant
Complex Analysis and Geometry: KSCV10, Gyeongju, Korea, August 2014, 2015•Springer
An amoeba of an analytic set is the real part of its image in a logarithmic scale. Among all
hypersurfaces A-discriminantal sets have the most simple amoebas. We prove that any
singular cuspidal stratum of the classical discriminant can be transformed by a monomial
change of variables into an A-discriminantal set and compute the contours of the amoebas
of these strata.
hypersurfaces A-discriminantal sets have the most simple amoebas. We prove that any
singular cuspidal stratum of the classical discriminant can be transformed by a monomial
change of variables into an A-discriminantal set and compute the contours of the amoebas
of these strata.
Abstract
An amoeba of an analytic set is the real part of its image in a logarithmic scale. Among all hypersurfaces A-discriminantal sets have the most simple amoebas. We prove that any singular cuspidal stratum of the classical discriminant can be transformed by a monomial change of variables into an A-discriminantal set and compute the contours of the amoebas of these strata.
Springer
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