Results 11 to 20 of about 61,053 (210)
Worldline formalism for a confined scalar field
Journal of High Energy Physics, 2019 The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes
Olindo Corradini +4 more
doaj +1 more source
Reverse geometric engineering of singularities [PDF]
, 2002 One can geometrically engineer supersymmetric field theories theories by placing D-branes at or near singularities. The opposite process is described, where one can reconstruct the singularities from quiver theories.
B. Feng +18 more
core +2 more sources
Smooth invariants of focus-focus singularities and obstructions to product decomposition [PDF]
, 2018 We study focus-focus singularities (also known as nodal singularities, or pinched tori) of Lagrangian fibrations on symplectic $4$-manifolds. We show that, in contrast to elliptic and hyperbolic singularities, there exist homeomorphic focus-focus ...
Bolsinov, Alexey, Izosimov, Anton
core +2 more sources
Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity [PDF]
Épijournal de Géométrie AlgébriqueWahl's local Euler characteristic measures the local contributions of a singularity to the usual Euler characteristic of a sheaf. Using tools from toric geometry, we study the local Euler characteristic of sheaves of symmetric differentials for isolated ...
Nils Bruin, Nathan Ilten, Zhe Xu
doaj +1 more source
Finitely curved orbits of complex polynomial vector fields
Anais da Academia Brasileira de Ciências, 2007 This note is about the geometry of holomorphic foliations. Let X be a polynomial vector field with isolated singularities on C². We announce some results regarding two problems: 1.
Albetã C. Mafra
doaj +1 more source
POWER GEOMETRY IN LOCAL RESOLUTION OF SINGULARITIES OF AN ALGEBRAIC CURVE
World Science, 2020 The main goal of this work is to provide a consistent set of general-purpose algorithms for analyzing singularities applicable to all types of equations. We present the main ideas and algorithms of power geometry and give an overview of some of its applications.
openaire +2 more sources
Computer Science Journal of Moldova, 1996 Some algorithms for singularity theory and algebraic geometry The use of Grobner basis computations for treating systems of polynomial equations has become an important tool in many areas.
Hans Schonemann
doaj
Numerical Algorithms in Algebraic Geometry with Implementation in Computer Algebra System SINGULAR [PDF]
, 2011 Polynomial systems arise in many applications: robotics, kinematics, chemical kinetics, computer vision, truss design, geometric modeling, and many others. Many polynomial systems have solutions sets, called algebraic varieties, having several irreducible components.
openaire +2 more sources
Commentarii Mathematici Helvetici, 1981 Methods of graph theory are used to obtain rational projective surfaces with only rational double points as singularities and with rational cohomology rings isomorphic to that of the complex projective plane. Uniqueness results for such cohomologyCP2's and for rational and integral homologyCP2's are given in terms of the typesAk,Dk, orEk of ...
Brenton, L., Drucker, D., Prins, G.C.E.
openaire +2 more sources
Hexapods with Plane-Symmetric Self-Motions
Robotics, 2018 A hexapod is a parallel manipulator where the platform is linked with the base by six legs, which are anchored via spherical joints. In general, such a mechanical device is rigid for fixed leg lengths, but, under particular conditions, it can perform a ...
Georg Nawratil
doaj +1 more source