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ZERO LOCI OF ADMISSIBLE NORMAL FUNCTIONS WITH TORSION SINGULARITIES
NORMAL FUNCTIONS TORSION SINGULARITIES
2015/9/29
We show that the zero locus of a normal function on a smooth
complex algebraic variety S is algebraic provided that the normal function extends to a admissible normal function on a smooth compacti...
Singularities and nonhyperbolic manifolds do not coincide
Semi-dispersing billiards hyperbolicity ergodicity local ergodicity invariant manifolds Chernov–Sinai Ansatz
2012/5/9
We consider the billiard flow of elastically colliding hard disks on the flat 2-torus and prove that no singularity manifold can locally coincide with a manifold describing future non-hyperbolicity of...
Finite Time Singularities for Lagrangian Mean Curvature Flow
Finite Time Singularities Lagrangian Mean Curvature Flow
2010/11/30
Given a prime q and a negative discriminant D, the CM method constructs an elliptic curve E/Fq by obtaining a root of the Hilbert class polynomial HD(X) modulo q.
This paper uses the geometric singular perturbationtheory to investigate dynamical behaviors and singularities in afundamental power system presented in a single-machineinfinite-bus formulation. The p...