Add to ORKGThe study of the Newton polytope of a parametric hypersurface is currently receiving a lot of attention both because of its computational interest and its connections with Tropical Geometry, Singularity Theory, Intersection Theory and Combinatorics. We introduce the problem and survey the recent progress on it, with emphasis in the case of curves
Newton polyhedra establish a relationship between algebraic geometry and the geometry of polyhedra. ...
AbstractWe study some basic algorithmic problems concerning the intersection of tropical hypersurfac...
We study Newton polytopes of cluster variables in type A cluster algebras, whose cluster and coeffic...
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by th...
Abstract. Let g1,..., gk be tropical polynomials in n variables with Newton polytopes P1,..., Pk. We...
We develop a collection of numerical algorithms which connect ideas from polyhedral geometry and alg...
AbstractIn this paper we use the connections between tropical algebraic geometry and rigid-analytic ...
Intersection problems have many applications in computational geometry and geometric modeling and d...
The set of all non-smooth hypersurfaces given by polynomials with the fixed support set A was descri...
We give a combinatorial upper bound for the gonality of a curve that is defined by a bivariate Laure...
This article is devoted to the study of -quasiordinary singularities. They were introduced by H. Hir...
This thesis is devoted to two main topics (accordingly, there are two chapters): In the first chapte...
We consider the tropicalization of tangent lines to a complete intersection curve X in ℙn. Under mil...
International audienceThis paper presents two general and efficient methods for determining intersec...
Tropical geometry and its applications indicate a 'theory of syzygies' over polytope semirings. Taki...
Newton polyhedra establish a relationship between algebraic geometry and the geometry of polyhedra. ...
AbstractWe study some basic algorithmic problems concerning the intersection of tropical hypersurfac...
We study Newton polytopes of cluster variables in type A cluster algebras, whose cluster and coeffic...
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by th...
Abstract. Let g1,..., gk be tropical polynomials in n variables with Newton polytopes P1,..., Pk. We...
We develop a collection of numerical algorithms which connect ideas from polyhedral geometry and alg...
AbstractIn this paper we use the connections between tropical algebraic geometry and rigid-analytic ...
Intersection problems have many applications in computational geometry and geometric modeling and d...
The set of all non-smooth hypersurfaces given by polynomials with the fixed support set A was descri...
We give a combinatorial upper bound for the gonality of a curve that is defined by a bivariate Laure...
This article is devoted to the study of -quasiordinary singularities. They were introduced by H. Hir...
This thesis is devoted to two main topics (accordingly, there are two chapters): In the first chapte...
We consider the tropicalization of tangent lines to a complete intersection curve X in ℙn. Under mil...
International audienceThis paper presents two general and efficient methods for determining intersec...
Tropical geometry and its applications indicate a 'theory of syzygies' over polytope semirings. Taki...
Newton polyhedra establish a relationship between algebraic geometry and the geometry of polyhedra. ...
AbstractWe study some basic algorithmic problems concerning the intersection of tropical hypersurfac...
We study Newton polytopes of cluster variables in type A cluster algebras, whose cluster and coeffic...