A logarithmic Dolbeault complex
A Riemann-Roch-Hirzebruch formula for traces of differential operators
Let be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators on a formal neighbourhood of a...
Algebraic study of systems of partial differential equations
Algebraic study of systems of partial differential equations
An analogue of holonomic -modules on smooth varieties in positive characteristics.
An elementary theory of hyperfunctions and microfunctions