Results 1 to 10 of about 584 (133)
Algebraic singularities of scattering amplitudes from tropical geometry [PDF]
Journal of High Energy Physics, 2021 We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory.
James Drummond +3 more
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Parametric Expansions of an Algebraic Variety near Its Singularities
Axioms, 2023 Presently, there is a method based on Power Geometry that allows one to find asymptotic forms and asymptotic expansions of solutions to different kinds of non-linear equations near their singularities.
Alexander D. Bruno, Alijon A. Azimov
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Inner metric geometry of complex algebraic surfaces with isolated singularities [PDF]
Communications on Pure and Applied Mathematics, 2008 AbstractWe produce examples of complex algebraic surfaces with isolated singularities such that these singularities are not metrically conical, i.e., the germs of the surfaces near singular points are not bi‐Lipschitz equivalent, with respect to the inner metric, to cones.
Alexandre Fernandes, Lev Birbrair
exaly +3 more sources
Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals
Physical Review LettersWe reformulate the analysis of singularities of Feynman integrals in a way that can be practically applied to perturbative computations in the standard model in dimensional regularization. After highlighting issues in the textbook treatment of Landau singularities, we develop an algorithm for classifying and computing them using techniques from ...
Sebastian Mizera +2 more
exaly +5 more sources
Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics [PDF]
, 2018 exaly +2 more sources
Complex reflection groups and K3 surfaces I [PDF]
Épijournal de Géométrie Algébrique, 2021 We construct here many families of K3 surfaces that one can obtain as quotients of algebraic surfaces by some subgroups of the rank four complex reflection groups. We find in total 15 families with at worst $ADE$--singularities. In particular we classify
Cédric Bonnafé, Alessandra Sarti
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Resolution of an algebraic singularity by power geometry algorithms [PDF]
Programming and Computer Software, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander D. Bruno, Alexander B. Batkhin
openaire +1 more source
Holography, matrix factorizations and K-stability
Journal of High Energy Physics, 2020 Placing D3-branes at conical Calabi-Yau threefold singularities produces many AdS5/CFT4 duals. Recent progress in differential geometry has produced a technique (called K-stability) to recognize which singularities admit conical Calabi-Yau metrics.
Marco Fazzi, Alessandro Tomasiello
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Arc Spaces and Rogers-Ramanujan Identities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities.
Clemens Bruschek +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 During the last forty years the theory of integrability of Darboux, in terms of algebraic invariant curves of polynomial systems has been very much extended and it is now an active area of research.
Regilene Oliveira +3 more
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