We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.

We study codimension one branes, i.e. p-branes in (p + 2)-dimensions, in the superembedding approach for the cases where the worldvolume superspace is embedded in a minimal target superspace with half supersymmetry breaking. This singles out the cases p = 1, 2, 3, 5, 9. For p = 3, 5, 9 the superembedding geometry naturally involves a fundamental super 2-form potential on the worldvolume whose g...

Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the semigroup algebra $M_a(S)$ of a locally compact topological foundationsemigroup with identity.

In this paper, we introduce a notion of adjoint ideal sheaves along closed subvarieties of higher codimension and prove a restriction property of our adjoint ideal sheaves using characteristic p methods.

In this paper we develope a Morsification Theory for holomorphic functions defining a singularity of finite codimension with respect to an ideal, which recovers most previously known Morsification results for non-isolated singularities and generalise them to a much wider context. We also show that deforming functions of finite codimension with respect to an ideal within the same ideal respects ...