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TWELVE POINTS ON THE PROJECTIVE LINE, BRANCHED COVERS, AND RATIONAL ELLIPTIC FIBRATIONS
PROJECTIVE LINE BRANCHED COVERS
2015/7/14
The following divisors in the space Sym12 P1 of twelve points on
P1 are actually the same: (A) the possible locus of the twelve nodal bers in
a rational elliptic bration (i.e. a pencil of plane cu...
Absence of Resonances near Critical Line for CC Manifolds
Absence of Resonances Critical Line CC Manifolds
2011/8/22
Abstract: We find a resonance free region polynomially close to the critical line on Conformally compact manifolds with polyhomogeneous metric.
Determinant line bundle on moduli space of parabolic bundles
Parabolic bundle determinant bundle Quillen metric
2011/2/24
In [BR1], [BR2], a parabolic determinant line bundle on a moduli space of stable parabolic bundles was constructed, along with a Hermitian structure on it.The construction of the Hermitian structure w...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2010/12/28
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
Line integration and second order partial differential equations over Cayley-Dickson algebras
Line integration second order partial differential equations Cayley-Dickson algebras
2010/12/3
Line integration of generalized functions is studied. Second or-der partial differential equations with piecewise continuous and gen-eralized variable coefficients over Cayley-Dickson algebras are inv...
New exact multi line soliton and periodic solutions with constant asymptotic values at infinity of the NVN integrable nonlinear evolution equation via dibar-dressing method
exact multi line soliton nonlinear evolution equation periodic solutions
2010/4/6
The classes of exact multi line soliton, periodic solutions and solutions with functional parameters, with constant asymptotic values at infinity u|_{xi^2+eta^2->infty}->-epsilon, for the hyperbolic a...