Jimmy Johansson

activity

20172023

collaborators

4 papers

math.CV2023

A residue current associated with a twisting cochain: duality and comparison formula

Jimmy Johansson

Let $F^{∙}$ be a complex of coherent $O_{X}$ -modules over a complex manifold $X$ . We give a construction of a residue current associated with this complex tha…

math.CV2021

An explicit isomorphism of different representations of the Ext functor using residue currents

Jimmy Johansson, Richard Lärkäng

Let $F$ be a coherent $O_{X}$ -module over a complex manifold $X$ , and let $G$ be a vector bundle on $X$ . We describe an explicit isomorphism between two different…

math.CV2021

Polynomial interpolation and residue currents

Jimmy Johansson

We show that a global holomorphic section of $O (d)$ restricted to a closed complex subspace $X \subset P^{n}$ has an interpolant if and only if it satisfies a set…

math.OA2017

The Shilov boundary for a $q$ -analog of the holomorphic functions on the unit ball of $2 \times 2$ symmetric matrices

Jimmy Johansson, Lyudmila Turowska

We describe the Shilov boundary for a $q$ -analog of the algebra of holomorphic functions on the unit ball in the space of symmetric $2 \times 2$ matrices.

A residue current associated with a twisting cochain: duality and comparison formula

An explicit isomorphism of different representations of the Ext functor using residue currents

Polynomial interpolation and residue currents

The Shilov boundary for a q-analog of the holomorphic functions on the unit ball of 2×2 symmetric matrices

The Shilov boundary for a $q$ -analog of the holomorphic functions on the unit ball of $2 \times 2$ symmetric matrices