Add to ORKGWe describe a relation between Arnold's strange duality and a polar duality between the Newton polytopes which is mostly due to M. Kobayashi. We show that this relation continues to hold for the extension of Arnold's strange duality found by C.T.C. Wall and the author. By a method of Ehlers-Varchenko, the characteristic polynomial of the monodromy of a hypersurface singularity can be computed from the Newton diagram. We generalize this method to the isolated complete intersection singularities embraced in the extended duality. We use this to explain the duality of characteristic polynomials of the monodromy discovered by K. Saito for Arnold's original strange duality and extended by the author to the other cases. (orig.)SIGLEAvailable from ...
By an extension of Harnad's and Dubrovin's 'duality' constructions, the general isomonodromy problem...
We introduce a class of Laurent polynomials, called maximally mutable Laurent polynomials (MMLPs), w...
We prove that the topological type of a normal surface singularity pX, 0q provides finite bounds fo...
this paper, first we describe the relation between polar duality in toric geometry and duality of we...
As a generalisation of Arnold's strange duality for unimodal singularities, Ebeling and Takahashi in...
This expository article explores the connection between the polar duality from polyhedral geometry a...
The study of the Newton polytope of a parametric hypersurface is currently receiving a lot of attent...
Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its...
AbstractWe generalize the notions of dual pair and polarity introduced by S. Lie (1890) and A. Weins...
The set of all non-smooth hypersurfaces given by polynomials with the fixed support set A was descri...
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzin...
We give a survey on old and new results concerning Arnold's strange duality. We show that most of th...
The Poincare series p_A(t) of the coordinate algebra A of a normal surface singularity (X, x) with g...
This article is devoted to the study of -quasiordinary singularities. They were introduced by H. Hir...
International audienceBrieskorn’s paper “Die Monodromie der isolierten Singularit ̈aten von Hyperfl ...
By an extension of Harnad's and Dubrovin's 'duality' constructions, the general isomonodromy problem...
We introduce a class of Laurent polynomials, called maximally mutable Laurent polynomials (MMLPs), w...
We prove that the topological type of a normal surface singularity pX, 0q provides finite bounds fo...
this paper, first we describe the relation between polar duality in toric geometry and duality of we...
As a generalisation of Arnold's strange duality for unimodal singularities, Ebeling and Takahashi in...
This expository article explores the connection between the polar duality from polyhedral geometry a...
The study of the Newton polytope of a parametric hypersurface is currently receiving a lot of attent...
Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its...
AbstractWe generalize the notions of dual pair and polarity introduced by S. Lie (1890) and A. Weins...
The set of all non-smooth hypersurfaces given by polynomials with the fixed support set A was descri...
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzin...
We give a survey on old and new results concerning Arnold's strange duality. We show that most of th...
The Poincare series p_A(t) of the coordinate algebra A of a normal surface singularity (X, x) with g...
This article is devoted to the study of -quasiordinary singularities. They were introduced by H. Hir...
International audienceBrieskorn’s paper “Die Monodromie der isolierten Singularit ̈aten von Hyperfl ...
By an extension of Harnad's and Dubrovin's 'duality' constructions, the general isomonodromy problem...
We introduce a class of Laurent polynomials, called maximally mutable Laurent polynomials (MMLPs), w...
We prove that the topological type of a normal surface singularity pX, 0q provides finite bounds fo...