Symplectic resolution of isolated algebraic singularities

1998 ◽  
pp. 101-105 ◽  
Author(s):  
John McCarthy ◽  
Jon Wolfson
Keyword(s):  
Symplectic Resolution ◽  
Algebraic Singularities

scholarly journals Algebraic singularities of scattering amplitudes from tropical geometry

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
James Drummond ◽  
Jack Foster ◽  
Ömer Gürdoğan ◽  
Chrysostomos Kalousios
Keyword(s):  
Scattering Amplitudes ◽  
Natural Language ◽  
Tropical Geometry ◽  
Cluster Algebras ◽  
Finite Alphabet ◽  
Square Root ◽  
Finite Sets ◽  
Yang Mills ◽  
Square Roots ◽  
Algebraic Singularities

Abstract We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar $$ \mathcal{N} $$ N = 4 super Yang-Mills theory. We argue that connections between cluster algebras and tropical geometry provide a natural language for postulating a finite alphabet for scattering amplitudes beyond six and seven points where the corresponding Grassmannian cluster algebras are finite. As well as generating natural finite sets of letters, the tropical fans we discuss provide letters containing square roots. Remarkably, the minimal fan we consider provides all the square root letters recently discovered in an explicit two-loop eight-point NMHV calculation.

scholarly journals Symplectic resolution of orbifolds with homogeneous isotropy

2019 ◽  
Vol 204 (1) ◽  
pp. 339-363
Author(s):  
Vicente Muñoz ◽  
Juan Angel Rojo
Keyword(s):  
Symplectic Resolution

scholarly journals Fibered knots and algebraic singularities

Topology ◽  
1974 ◽  
Vol 13 (1) ◽  
pp. 47-59 ◽  
Author(s):  
Alan H. Durfee
Keyword(s):  
Fibered Knots ◽  
Algebraic Singularities

Rational ODEs with Movable Algebraic Singularities

2009 ◽  
Vol 123 (1) ◽  
pp. 17-36 ◽  
Author(s):  
G. Filipuk ◽  
R. G. Halburd
Keyword(s):  
Algebraic Singularities
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