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K3 surfaces and log del Pezzo surfaces of index three
log del Pezzo surfaces non-symplectic automorphisms
2011/1/17
We use classification of non-symplectic automorphisms of K3 surfaces to obtain a partial classification of log del Pezzo surfaces of index three. We can classify those with ”Multiple Smooth Divisor Pr...
On the surfaces associated with $\mathbb{C}P^{N-1}$ models
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph)
2010/11/10
We study certain new properties of 2D surfaces associated with the $\mathbb{C}P^{N-1}$ models and the wave functions of the corresponding linear spectral problem. We show that $su(N)$-valued immersion...
Peierls-Nabarro energy surfaces and directional mobility of discrete solitons in two-dimensional saturable nonlinear Schrödinger lattices
Pattern Formation and Solitons(nlin.PS) Optics(physics.optics)
2010/11/10
We address the problem of directional mobility of discrete solitons in two-dimensional rectangular lattices, in the framework of a discrete nonlinear Schr\"odinger model with saturable on-site nonline...