Implications of rank one convexity

We prove that there exists an equivalence of categories of coherent D-modules when you consider the arithmetic D-modules introduced by Berthelot on a projective smooth formal scheme X

The main result of [6] deals with Thue equations twisted by a set of units which is not supposed to be a group of rank 1, but it involves an assumption (namely that at least two of

Keywords: configuration space integrals, finite type invariants of knots and 3-manifolds, homology spheres, two-loop polynomial, rational lift of Kontsevich integral,

We will use the characterization of rank-one convexity through Jensen’s inequality for laminates [8] so that we are interested in determining the exact range for the constant c so

We may further divide up the S^ into a finite union of disjoint locally closed pieces S^p compatible with the algebraic structures of Mpp and M^oi, such that: the map defined

In this paper, we first define certain connected subgroup schemes of SL2(k).. and give a concrete realization of their coset

Nonconvex variational problem, calculus of variations, relaxed variational problems, rank-1 convex envelope, microstructure, iterative algorithm.. 1 Department of

Focusing more specifically on the eigenvectors corresponding to the largest and smallest non-zero eigen- values, Section 3 provides inequalities for the inner products c t v i using