Mats Andersson

Professor at Chalmers, Mathematical Sciences, Algebra and geometry

Projects

2015–2018

The Cauchy-Riemann equation on non-reduced spaces and global representation of intersection numbers

Mats Andersson Algebra and geometry
Swedish Research Council (VR)

2011–2014

Residue theory on singular spaces and algebraic geometry

Mats Andersson Algebra and geometry
Swedish Research Council (VR)

There might be more projects where Mats Andersson participates, but you have to be logged in as a Chalmers employee to see them.

Publications

2017

The dbar-equation on a non-reduced analytic space

Mats Andersson, Richard Lärkäng,
Preprint
2017

Regularity of pseudomeromorphic currents

Mats Andersson, Elizabeth Wulcan,
Preprint
2017

A global Briancon-Skoda-Huneke-Sznajdman theorem

Mats Andersson,
Mathematica Scandinavica
Scientific journal article - peer reviewed
2016

Division formulas on projective varieties

Mats Andersson, Lisa Nilsson,
Mathematische Zeitschrift. Vol. 284 (1), p. 575-593
Scientific journal article - peer reviewed
2016

Pseudomeromorphic currents on subvarieties

Mats Andersson,
Complex Variables and Elliptic Equations. Vol. 61 (11), p. 1533-1540
Scientific journal article - peer reviewed
2015

Segre numbers, a generalized King formula, and local intersections

Mats Andersson, Håkan Samuelsson, Elizabeth Wulcan et al
Journal für die Reine und Angewandte Mathematik. Vol. 728, p. 105-136
Scientific journal article - peer reviewed
2015

Global effective versions of the Briancon-Skoda-Huneke theorem

Mats Andersson, Elizabeth Wulcan,
Inventiones Mathematicae. Vol. 200 (2), p. 607-651
Scientific journal article - peer reviewed
2014

Green functions, Segre numbers, and King’s formula

Mats Andersson, Elizabeth Wulcan,
Annales de l'Institut Fourier. Vol. 64 (6), p. 2639-2657
Scientific journal article - peer reviewed
2014

Direct images of semi-meromorphic currents

Mats Andersson, Elizabeth Wulcan,
Preprint
2013

One parameter regularizations of products of residue currents

Håkan Samuelsson, Mats Andersson, Elizabeth Wulcan et al
Report
2013

One parameter regularizations of products of residue currents

Mats Andersson, Håkan Samuelsson, Elizabeth Wulcan et al
Preprint
2012

On the effective membership problem for polynomial ideals

Mats Andersson, Elizabeth Wulcan,
Preprint
2012

Local intersection numbers and a generalized King formula

Mats Andersson, Elizabeth Wulcan, Håkan Samuelsson et al
Preprint
2012

A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas

Mats Andersson, Håkan Samuelsson,
Inventiones Mathematicae. Vol. 190 (2), p. 261-297
Scientific journal article - peer reviewed
2011

Coleff-Herrera currents, duality, and Noetherian operators

Mats Andersson,
Bulletin De La Societe Mathematique De France. Vol. 139 (4), p. 535-554
Scientific journal article - peer reviewed
2011

Variants of the effective Nullstellensatz and residue calculus

Mats Andersson, Elizabeth Wulcan,
Notions of Positivity and Geometry of Polynomials. Brändén, P., Passare, M., Putinar, M. (eds) (Springer 2011), p. 17-31
Chapter in monograph, book
2011

Weighted Koppelman formulas and the (partial derivative)over-bar-equation on an analytic space

Mats Andersson, H. Samuelsson,
Journal of Functional Analysis. Vol. 261 (3), p. 777-802
Scientific journal article - peer reviewed
2011

An explicit Koppelman formula for dd(c) and Green currents on p(n)

Mats Andersson,
Mathematische Zeitschrift. Vol. 267 (3-4), p. 835-850
Scientific journal article - peer reviewed
2011

Explicit representation of membership of polynomial ideals

Mats Andersson, Elin Götmark,
Mathematische Annalen . Vol. 349 (2), p. 345-365
Scientific journal article - peer reviewed
2010

On the Briancon-Skoda theorem on a singular variety

Mats Andersson, Håkan Samuelsson, Jacob Sznajdman et al
Annales de l'institut Fourier. Vol. 60 (2), p. 417-432
Scientific journal article - peer reviewed
2010

A residue criterion for strong holomorphicity

Mats Andersson,
Arkiv för matematik. Vol. 48 (1), p. 1-15
Scientific journal article - peer reviewed
2010

A residue criterion for strong holomorphicity

Mats Andersson,
Arkiv f mat. Vol. 48, p. 1-15
Scientific journal article - peer reviewed
2010

Decomposition of Residue Currents

Mats Andersson, Elizabeth Wulcan,
J reine angew Math. Vol. 638, p. 103-118
Scientific journal article - non peer reviewed
2009

Decomposition of residue currents

Mats Andersson,
Journal für die reine und angewandte Mathematik (Crelles Journal) . Vol. Online
Scientific journal article - peer reviewed
2009

An explicit Koppelman formula for ddc and Green currents on \mathbb PnPn

Mats Andersson,
Mathematische Zeitschrift. Vol. Online
Scientific journal article - peer reviewed
2009

Uniqueness and factorization of Coleff-Herrera currents

Mats Andersson,
Annales dela Faculte des Sciences de Toulouse. Vol. 18 (5), p. 651-661
Scientific journal article - peer reviewed
2009

Uniqueness and factorization of Coleff-Herrera Currents

Mats Andersson,
Anna Fac Sci Toulouse. Vol. 18, p. 651-661
Scientific journal article - peer reviewed
2008

Koppelman formulas and the $\bar{\partial}$-equation on an analytic space

Håkan Samuelsson, Mats Andersson,
Institut Mittag-Leffler preprint series
Scientific journal article - non peer reviewed
2007

A generalized Poincare-Lelong formula

Mats Andersson,
Mathematica Scandinavica. Vol. 101 (2), p. 195-218
Scientific journal article - peer reviewed
2007

Residue currents with prescribed annihilator ideals

Mats Andersson, Elizabeth Wulcan,
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. Vol. 40 (6), p. 985-1007
Scientific journal article - peer reviewed
2006

Operators with smooth functional calculi

Håkan Samuelsson, Mats Andersson, Sebastian Sandberg et al
J. Anal. Math.. Vol. 98 (2006), p. 221-248
Scientific journal article - peer reviewed
2006

The membership problems for polynomial ideals in terms of residue currents

Mats Andersson,
Ann Inst Fourier. Vol. 56, p. 101-119
Scientific journal article - peer reviewed
2006

Residue currents of holomorphic morphisms

Mats Andersson,
J reine angew Math. Vol. 596, p. 215-234
Scientific journal article - peer reviewed
2006

Explicit versions of the Briancon-Skoda theorem with variations

Mats Andersson,
Michigan Math J. Vol. 54 , p. 361-373
Scientific journal article - peer reviewed
2006

Integral representation with weights II, division and interpolation

Mats Andersson,
Math Z. Vol. 254, p. 315-332
Scientific journal article - peer reviewed
2005

Residues of holomorphic functions and Lelong currents

Mats Andersson,
Arkiv för Matematik. Vol. 43, p. 201-219
Scientific journal article - peer reviewed
2005

Noetherian Residue Currents

Mats Andersson, Elizabeth Wulcan,
Preprint
2005

Operators with smooth functional calculi

Mats Andersson, Håkan Samuelsson, Sebastian Sandberg et al
Report
2004

Residue currents of holomorphic morphisms

Mats Andersson,
Preprint
2004

A generalized Poincaré-Lelong formula

Mats Andersson,
Preprint
2004

Residue currents and ideals of holomorphic functions

Mats Andersson,
Bull Sci math . Vol. 128, p. 481-512
Scientific journal article - peer reviewed
2004

Ideals of smooth functions and residue currents

Mats Andersson,
J Funct Analysis. Vol. 212, p. 76-88
Scientific journal article - peer reviewed
2004

Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula

Mats Andersson, Johannes Sjöstrand,
J Functional Analysis . Vol. 210, p. 341-375
Scientific journal article - peer reviewed
2002

Ideals of smooth functions and residue currents

Mats Andersson,
Preprint
2001

Almost holomorphic extensions of ultradifferentiable functions

Mats Andersson, Bo Berndtsson,
Preprint
2000

$Q_p$ spaces in strictly pseudoconvex domains

Mats Andersson, Hasse Carlsson,
Preprint
1999

A constructive proof of the composition rule for Taylor's functional calculus

Mats Andersson, Sebastian Sandberg,
Preprint
1998

Estimates of solutions of the H^p and BMOA corona problem

Mats Andersson, Hasse Carlsson,
Preprint
1997

$L^p$ and $H^p$ extensions of holomorphic functions from subvarieties of analytic polyhedra

Kenzo Adachi, Mats Andersson, Hong Rae Cho et al
Preprint