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math-ph2010★ 4 cited
Birkhoff strata of the Grassmannian Gr: Algebraic curves
B. G. Konopelchenko, G. Ortenzi
Algebraic varieties and curves arising in Birkhoff strata of the Sato Grassmannian Gr are studied. It is shown that the big cell contains the tower of families of t…
math-ph2010
Hamiltonian motions of plane curves and formation of singularities and bubbles
B. G. Konopelchenko, G. Ortenzi
A class of Hamiltonian deformations of plane curves is defined and studied. Hamiltonian deformations of conics and cubics are considered as illustrative examples. These deformation…