Co-invariants of Lie algebras of vector fields on algebraic varieties
Co-invariants of Lie algebras of vector fields on algebraic varieties
We prove that the space of coinvariants of functions on an affine variety by a Lie algebra of vector fields whose flow generates finitely many leaves is finite-dimensional.Cases of the theorem include Poisson (or more generally Jacobi) varieties with finitely many symplectic leaves under Hamiltonian flow, complete intersections in Calabi-Yau …