Results 41 to 50 of about 3,689 (160)

Generalized toric polygons, T-branes, and 5d SCFTs

SciPost Physics
5d Superconformal Field Theories (SCFTs) are intrinsically strongly-coupled UV fixed points, whose realization hinges on string theoretic methods: they can be constructed by compactifying M-theory on local Calabi-Yau threefold singularities or ...
Antoine Bourget, Andrés Collinucci, Sakura Schäfer-Nameki
doaj   +1 more source

Monodromy-Prescribed Polystable Bundles on Punctured Riemann Surfaces and the Geometry of Singular Control Strategies

Axioms
This paper establishes a functorial algebraic isomorphism between the moduli space BCps(Σ,G) of polystable principal G-bundles with prescribed monodromy on a punctured Riemann surface Σ of genus g≥2, for a complex reductive Lie group G, and the character
Álvaro Antón-Sancho
doaj   +1 more source

Numerical Algorithms in Algebraic Geometry with Implementation in Computer Algebra System SINGULAR

, 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

Differential forms in algebraic geometry – A new perspective in the singular case

Portugaliae Mathematica, 2016
Differential forms are a rich source of invariants in algebraic geometry. This approach was very successful for smooth varieties, but the singular case is less well-understood. We explain how the use of the h-topology (introduced by Suslin and Voevodsky in order to study motives) gives a very good object also in the singular case, at least in ...
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Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2

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

Global Lipschitz geometry of conic singular sub-manifolds with applications to algebraic sets

Documenta Mathematica
We prove that a connected globally conic singular sub-manifold of a Riemannian manifold, compact when the ambient manifold is non-Euclidean, is Lipschitz Normally Embedded: its outer and inner metric space structures are equivalent. Moreover, we show that generic \mathbb{K}
André Costa, Vincent Grandjean, Maria Michalska   +2 more
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Machine learning the dimension of a Fano variety. [PDF]

Nat Commun, 2023
Coates T, Kasprzyk AM, Veneziale S.
europepmc   +1 more source

Patchworking singular algebraic curves, non-Archimedean amoebas and enumerative geometry

, 2002
50 pages, 5 ...
openaire   +2 more sources

Algebraic information geometry for learning machines with singularities

Algebraic information geometry for learning machines with singularities
identifier:oai:t2r2.star.titech.ac.jp ...
openaire  

Microlocal analysis of non-linear operators arising in Compton CT. [PDF]

Inverse Probl
Webber JW, Holman S.
europepmc   +1 more source