Topologically integrable derivations and additive group actions on affine ind-schemes

More generally, we study the topological properties of the fixed-point spectrum on L p (X, µ) for general measure spaces (X, µ), and show partial results toward the conjecture

Suppose X is an affine cone with vertex, i.e. X is equipped with an action of the multiplicative group k* such that there exists a point in X lying in the closure of every fc*-orbit.

– In this paper we construct and study an action of the affine braid group associated with a semi-simple algebraic group on derived categories of coherent sheaves on various

We study algebraic actions of the additive group C + on certain of these varieties, and we obtain counter-examples to the cancellation problem in any dimension n ≥

6 2 Locally nilpotent derivations on toric varieties 8 3 Locally nilpotent derivations on T-varieties of complexity 1 11 3.1 Homogeneous LNDs of fiber type.. 12 3.2 Homogeneous LNDs

With the assumption that the characteristic of k is positive, we introduce the notion of rationally homogeneous locally finite iterative higher derivations which

Group scheme, deformation, dual numbers, adjoint representation, Weil restriction, Dieudonné classification of unipotent groups.. 2010 Mathematics

Kuniba, Nakanishi and Suzuki [7] have given a conjectural description of the positive solution of an `- restricted Q-system in terms of quantum dimensions of