Now showing items 1-6 of 6
Pierre Deligne [Article]
(Real Sociedad Matemática Española, 2013)
Decomposing Jacobians of curves over finite fields in the absence of algebraic structure [Article]
We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a hypothesis that two curves have the same number ...
Arithmetic motivic Poincaré series of toric varieties [Article]
(Mathematical Sciences Publishers, 2013)
The arithmetic motivic Poincaré series of a variety V defined over a field of characteristic zero is an invariant of singularities that was introduced by Denef and Loeser by analogy with the Serre–Oesterlé series in ...
The stability of the Kronecker products of Schur functions [Article]
In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur functions. For n sufficiently large, the values of the Kronecker coefficients appearing in the product ...
The Newton Procedure for several variables [Article]
Let us consider an equation of the form P(x, z) = zm + w1(x)zm−1 + · · · + wm−1(x)z + wm(x) = 0, where m>1, n>1, x=(x1⋯xn) is a vector of variables, k is an algebraically closed field of characteristic zero, View the ...
A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors [Article]
In this paper we prove that the Bernstein-Sato polynomial of any free divisor for which the D[s]-module D[s]h s admits a Spencer logarithmic resolution satisfies the symmetry property b(−s−2) = ±b(s). This applies in ...