Reality conditions of loop solitons genus : hyperelliptic am functions.
Realization of Hölder complexes
Realization of homotopy classes by algebraic mappings.
Realizing Homology Classes by Almost-Complex Submanifolds.
Recent Advances in the theory of minimal models.
Recent developments in instantons in noncommutative .
Recent progress on Hilbert's Fourteenth Problem via triangular derivations
We give an overview of recent results concerning kernels of triangular derivations of polynomial rings. In particular, we examine the question of finite generation in dimensions 4, 5, 6, and 7.
Recent progress on the Jacobian Conjecture
We describe some recent developments concerning the Jacobian Conjecture (JC). First we describe Drużkowski’s result in [6] which asserts that it suffices to study the JC for Drużkowski mappings of the form with A² = 0. Then we describe the authors’ result of [2] which asserts that it suffices to study the JC for so-called gradient mappings, i.e. mappings of the form x - ∇f, with homogeneous of degree 4. Using this result we explain Zhao’s reformulation of the JC which asserts the following:...
Recent results in the theory of constant reductions
Recent results on quiver sheaves
In this article, we survey recent work on the construction and geometry of representations of a quiver in the category of coherent sheaves on a projective algebraic manifold. We will also prove new results in the case of the quiver • ← • → •.
Recherche des singularités qui ont rapport à une droite multiple d'une surface
Recherches algébriques sur les intégrales abéliennes
Recherches analytiques sur la surface du troisième ordre qui est la réciproque de la surface de Steiner
Rechnen in endlichen Körpern (Beispiele elementarer Zahlentheorie).
Reciprocity in valued function fields.
Reciprocity laws on curves
Recognition of simple singularities in positive characteristic.
Recognizing right-left equivalence locally
Reconstructing birational maps from their face functions.
Reconstruction of algebraic sets from dynamic moments
We discuss an exact reconstruction algorithm for time expanding semi-algebraic sets given by a single polynomial inequality. The theoretical motivation comes from the classical -problem of moments, while some possible applications to 2D fluid moving boundaries are sketched. The proofs rely on an adapted co-area theorem and a Hankel form minimization.