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4 papers · 1 filter
Deformations of the geometry of lipid vesicles
Riccardo Capovilla, Jemal Guven, Jose' Antonio Santiago
Consider a closed lipid membrane (vesicle), modeled as a two-dimensional surface, described by a geometrical hamiltonian that depends on its extrinsic curvature. The vanishing of i…
Generic Gaussian ideals
Alberto Corso, Wolmer V. Vasconcelos, Rafael Villarreal
The content of a polynomial is the ideal generated by its coefficients. Our aim here is to consider a beautiful formula of Dedekind-Mertens on the content of the product of…
Bipartite graphs whose edge algebras are complete intersections
Mordechai Katzman
Let R be monomial sub-algebra of generated by square free monomials of degree two. This paper addresses the following question: when is R a complete intersection?…
Hydrodynamical description of Galactic Dark Matter
Luis G. Cabral-Rosetti, Dario Nunez, Roberto A. Sussman +1
We consider simple hydrodynamical models of galactic dark matter in which the galactic halo is a self-gravitating and self-interacting gas that dominates the dynamics of the galaxy…