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dc.contributor.authorMadani, Farid
dc.contributor.authorNisse, Mounir
dc.date.accessioned2016-10-12T07:20:55Z
dc.date.available2016-10-12T07:20:55Z
dc.date.issued2011
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1247
dc.descriptionOWLF 2011en_US
dc.description.abstractIn this paper, we study the amoeba volume of a given $k$-dimensional generic analytic variety $V$ of the complex algebraic torus $(C^*)^n$. When $n>=2k$, we show that $V$ is algebraic if and only if the volume of its amoeba is finite. Moreover, in this case, we establish a comparison theorem for the volume of the amoeba and the coamoeba. Examples and applications to the $k$-linear spaces will be given.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2011,33
dc.subjectAnalytic varietiesen_US
dc.subjectAlgebraic varietiesen_US
dc.subjectAmoebasen_US
dc.subjectCoamoebasen_US
dc.subjectLogarithmic limit setsen_US
dc.subjectPhase limit setsen_US
dc.subjectSpherical polyhedronsen_US
dc.titleAnalytic Varieties with Finite Volume Amoebas are Algebraicen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2011-33
local.scientificprogramOWLF 2011en_US
local.series.idOWP-2011-33
local.subject.msc14
local.subject.msc32
dc.identifier.urnurn:nbn:de:101:1-201112137090
dc.identifier.ppn1651080216


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