Mats Andersson
I am working in the theory of several complex variables. In particular I am interested in multivariable residue theory and how it can be used to handle problems in geometry and commutative algebra.
Showing 78 publications
Norm Estimates for the ∂¯ -Equation on a Non-reduced Space
On non-proper intersections and local intersection numbers
A pointwise norm on a non-reduced analytic space
The flatness of the $\mathcal O$-module of smooth functions and integral representation
Nonproper intersection products and generalized cycles
Regularity of pseudomeromorphic currents
Lp-estimates of extensions of holomorphic functions defined on a non-reduced subvariety
A note on smooth forms on analytic spaces
Global representation of Segre numbers by Monge–Ampère products
Estimates for the ∂¯ -Equation on Canonical Surfaces
The ∂¯ -equation on a non-reduced analytic space
On a Monge-Ampère operator for plurisubharmonic functions with analytic singularities
Global Koppelman Formulas on (Singular) Projective Varieties
Environmentally friendly preparation of nanoparticles for organic photovoltaics
A global Briançon-Skoda-Huneke-Sznajdman theorem
Direct images of semi-meromorphic currents
Segre numbers, a generalized King formula, and local intersections
One parameter regularizations of products of residue currents
On the effective membership problem for polynomial ideals
Mikael passare: Curriculum vitae
Division formulas on projective varieties
Pseudomeromorphic currents on subvarieties
Global effective versions of the Briancon-Skoda-Huneke theorem
Green functions, Segre numbers, and King’s formula
One parameter regularizations of products of residue currents
Local intersection numbers and a generalized King formula
A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
An explicit Koppelman formula for dd(c) and Green currents on p(n)
Explicit representation of membership of polynomial ideals
Coleff-Herrera currents, duality, and Noetherian operators
Variants of the effective Nullstellensatz and residue calculus
Weighted Koppelman formulas and the (partial derivative)over-bar-equation on an analytic space
A residue criterion for strong holomorphicity
On the Briancon-Skoda theorem on a singular variety
Decomposition of Residue Currents
A residue criterion for strong holomorphicity
An explicit Koppelman formula for ddc and Green currents on \mathbb PnPn
Decomposition of residue currents
Uniqueness and factorization of Coleff-Herrera Currents
Uniqueness and factorization of Coleff-Herrera currents
Koppelman formulas and the $\bar{\partial}$-equation on an analytic space
Residue currents with prescribed annihilator ideals
A generalized Poincare-Lelong formula
Operators with smooth functional calculi
Residue currents of holomorphic morphisms
Integral representation with weights II, division and interpolation
The membership problems for polynomial ideals in terms of residue currents
Explicit versions of the Briancon-Skoda theorem with variations
Residues of holomorphic functions and Lelong currents
Operators with smooth functional calculi
Ideals of smooth functions and residue currents
Residue currents and ideals of holomorphic functions
Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula
Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula
Residue currents of Cauchy-Fantappie-Leray type and ideals of holomorphic functions
The essential spectrum for holomorphic Toeplitz operators on H^p spaces and BMOA
Non-holomorphic functional calculus for commuting operators with real spectrum
Almost holomorphic extensions of ultradifferentiable functions
Various constructions of Taylor's functional calculus for commuting operators
A constructive proof of the composition rule for Taylor's functional calculus
Estimates of solutions of the H^p and BMOA corona problem
$L^p$ and $H^p$ extensions of holomorphic functions from subvarieties of analytic polyhedra
Taylor's functional calculus for commuting operators with Cauchy-Fantappie-Leray formulas
Canonical homotopy operators for the $\bar{\partial}$ complex in strictly pseudoconvex domains
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Showing 2 research projects
The Cauchy-Riemann equation on non-reduced spaces and global representation of intersection numbers
Residue theory on singular spaces and algebraic geometry