57 citations · 133 across the 33 of their papers we have counts for
38 papers
Differentiable holonomic -modules
Yuly Billig, Henrique Rocha
We study differentiable holonomic sheaves of -modules on a smooth quasi-projective variety. We show that a simple differentiable holonomic sheaf of -modules is locally…
Holonomic -modules for the affine space
Yuly Billig, Henrique Rocha
We study the growth of representations of the Lie algebra of vector fields on the affine space that admit a compatible action of the polynomial algebra. We establish the Bernstein…
Gelfand-Fuks cohomology of vector fields on algebraic varieties
Yuly Billig, Kathlyn Dykes
For an affine algebraic variety, we introduce algebraic Gelfand-Fuks cohomology of polynomial vector fields with coefficients in differentiable -modules. Its complex is given b…
Sheaves of AV-modules on quasi-projective varieties
Yuly Billig, Emile Bouaziz
We study sheaves of modules for the Lie algebra of vector fields with the action of the algebra of functions, compatible via the Leibniz rule. A crucial role in this theory is play…
Dense clusters in hypergraphs
Yuly Billig
In this paper we solve the problem of finding in a given weighted hypergraph a subhypergraph with a maximum possible density. We introduce the notion of a support matrix and prove…
A universal sheaf of algebras governing representations of vector fields on quasi-projective varieties
Yuly Billig, Colin Ingalls
We construct a quasi-coherent sheaf of associative algebras which controls a category of -modules over a smooth quasi-projective variety. We establish a local structure theorem…