Results 11 to 20 of about 60,914 (171)
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
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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
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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
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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
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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
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The Bell states in noncommutative algebraic geometry [PDF]
, 2014 We introduce new mathematical aspects of the Bell states using matrix factorizations, nonnoetherian singularities, and noncommutative blowups. A matrix factorization of a polynomial $p$ consists of two matrices $\phi_1,\phi_2$ such that $\phi_1\phi_2 ...
Charlie Beil +3 more
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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
Estimates of the number of rational mappings from a fixed variety to varieties of general type [PDF]
, 1997 First we find effective bounds for the number of dominant rational maps $f:X \rightarrow Y$ between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type $\{A \cdot K_X^n\}^{\{B \cdot K_X^n\}^2}$, where $n=dimX$, $
Bandman, T., Dethloff, G.
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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
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Topology of Exceptional Orbit Hypersurfaces of Prehomogeneous Spaces [PDF]
, 2015 We consider the topology for a class of hypersurfaces with highly nonisolated singularites which arise as exceptional orbit varieties of a special class of prehomogeneous vector spaces, which are representations of linear algebraic groups with open ...
Bruce +4 more
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