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Riemann-Hilbert Problems with canonical normalization and families of commuting operators
Riemann-Hilbert Problems commuting operators integrable 3-wave interactions
2012/4/26
We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on several additional variables. Using Zakharov-Shabat theorem we are able to construct a fam...
Two families of maximal curves which are not Galois subcovers of the Hermitian curve
maximal curves generalized GK curves Galois coverings
2011/1/20
We show that the generalized Giulietti-Korchm´aros curve and the maximal curve with equation x q2 − x = y (qn+1)/(q+1) defined over F q2n, for n 3 odd and q 3, are not Galois subcovers...
Period differential equations for families of $K3$ surfaces derived from 3 dimensional reflexive polytopes with 5 vertices
K3 surfaces period differential equations toric varieties
2011/1/17
In this article we study the families of K3 surfaces derived from 3 dimensional 5 verticed re-
flexive polytopes with at most terminal singularity. We determine the lattice structures, the period dif...