Titlebook: Analysis Meets Geometry; The Mikael Passare M Mats Andersson,Jan Boman,Ragnar Sigurdsson Book 2017 Springer International Publishing AG 201

metropolitan

FID

Welschinger Invariants RevisitedWe establish the enumerativity of (original and modified) Welschinger invariants for every real divisor on any real algebraic del Pezzo surface and give an algebro-geometric proof of the invariance of that count both up to variation of the point constraints on a given surface and variation of the complex structure of the surface itself.

conference

From Rapid Prototyping to eManufacturingnsion, and we show that if a .-dimensional very affine linear space in (?*). is generic, then the dimension of its (co)amoeba is equal to min{2., .}. Moreover, we prove that the volume of its coamoeba is equal to π.. In addition, if the space is generic and real, then the volume of its amoeba is equ

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背叛者

Parametrics: Present and Future,ved Hermitian metrics on . equipped with the Mabuchi metric. In this short note we show, using Bedford–Taylor type envelope techniques developed in the authors previous work [3], that Chen’s weak geodesic connecting any two elements in ? are .1,1-smooth, i.e., the real Hessian is bounded, for any fi

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Peter Bühler,Patrick Schlaich,Dominik Sinnerntless applications and, in particular, they form a key connection between “classical” algebraic geometry and tropical geometry. There exist multiple different tropical hypersurfaces related to amoebas. In this survey, we introduce the most important of these tropical hypersurfaces and compare their

INERT

Peter Bühler,Patrick Schlaich,Dominik Sinnernected components of the coamoeba complement and critical points of the polynomial, an upper bound on the area of a planar coamoeba, and a recovered bound on the number of positive solutions of a fewnomial system.

Nonflammable

Continuous-Variable Quantum System,als of holomorphic functions vanishing on those points. Taking subsequences, we always assume that the directions defined by pairs of points stabilize as they tend to 0. We prove that in a generic case, the limit of the Green functions is always the same, while the limits of ideals are distinct (in

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Multimedia Applications: Protocol MOT,se, of a result by Nisse, Sottile and the author. We also give topological and partly algebraical characterizations of the amoeba and coamoeba in some special cases: . = . 1, . = 1 and, when . is even, . = ./2, in the last case with a certain emphasis on the example . = 4.