We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally ...

The number of real roots of a system of polynomial equations fitting inside a given box can be counted using a vector ...

In this paper we study spaces of algebras over an operad (nonsymmetric) in symmetric monoidal model categories. We first ...

Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the valuation.

We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce ...

Let $f_1,\ldots, f_p$ be polynomials in ${\bf C}[x_1,\ldots, x_n]$ and let $D = D_n$ be the $n$-th Weyl algebra. The ...

It is known that alternative links are pseudoalternating. In 1983 Louis Kauffman conjectured that both classes are identical. ...

This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and ...

In this work we present a natural surjective map from rigid braids in B3 (in Garside sense) to SL2(N). This map provides ...