Elizabeth Wulcan's Publications
Preprints
Publications
- Non-pluripolar energy and the complex Monge-Ampère
operator
(with Mats
Andersson and
David
Witt Nyström), pdf, Journal für die reine und angewandte
Mathematik, published online
- Chern currents of coherent sheaves
(with Richard
Lärkäng), pdf,
Épijournal Géom. Algébrique 6 (2022), Art.14
- Chern forms of hermitian metrics with analytic singularities
on vector bundles
(with Richard Lärkäng,
Hossein
Raufi, and
Martin
Sera),
pdf,
Indiana Univ. Math. J. 71 (2022), 153-189
- Residue currents and cycles of complexes of vector bundles
(with Richard
Lärkäng), pdf,
Ann. Fac. Sci. Toulouse Math. (6) 30 (2021), 961-984
- Regularity of pseudomeromorphic currents
(with Mats
Andersson), pdf, Bulletin des Sciences Mathématiques,
online (2021)
- On non-proper intersections and local intersection numbers
(with Mats
Andersson and
Håkan
Samuelsson Kalm), pdf,
Math. Z. 300 (2022), 1019-1039
- Nonproper intersection products and generalized cycles
(with Mats
Andersson, Dennis Eriksson,
Håkan
Samuelsson Kalm,
and Alain
Yger), pdf, Eur. J. Math. 7 (2021), 1337-1381
- Global representation of Segre numbers by Monge-Ampère products
(with Mats
Andersson, Dennis Eriksson,
Håkan
Samuelsson Kalm,
and Alain
Yger), pdf, Math. Ann. 380 (2021), 349-391
- Estimates for the dbar-equation on canonical surfaces
(with Mats
Andersson, Richard
Lärkäng, Jean
Ruppenthal, and Håkan
Samuelsson Kalm) pdf,
J. Geom. Anal. 30 (2020), 2974-3001
- A note on the singularities of residue currents of
integrally closed ideals, pdf, Acta
Math. Vietnam. 45 (2020), 281-289
- On a mixed Monge-Ampère operator for quasiplurisubharmonic functions
with analytic singularities
(with Richard
Lärkäng and
Martin
Sera),
pdf, Bull. Lond. Math. Soc. 52 (2020), 77-93
- On a Monge-Ampère operator for plurisubharmonic functions
with analytic singularities
(with Mats
Andersson and Zbigniew
Błocki), pdf, Indiana Univ. Math. J. 68 (2019), 1217-1231
- Direct images of semi-meromorphic currents
(with Mats
Andersson), pdf,
Ann. Inst. Fourier 68 (2018), 875-900
- Residue currents and fundamental cycles
(with Richard
Lärkäng), pdf, Indiana Univ. Math. J. 67 (2018), 1085-1114
- On the effective membership problem for polynomial ideals
(with Mats
Andersson), pdf,
Analysis Meets Geometry, 91-109, Trends Math., 2017
- One parameter regularizations of products of residue currents
(with Mats
Andersson,
Håkan
Samuelsson Kalm,
and Alain
Yger), pdf,
Analysis Meets Geometry, 81-90, Trends Math., 2017
- Segre number, a generalized King formula, and local intersections
(with Mats
Andersson,
Håkan
Samuelsson Kalm,
and Alain
Yger), pdf,
J. Reine Angew. Math. 728 (2017), 105-136
- Explicit Serre duality on complex spaces
(with
Jean
Ruppenthal and
Håkan
Samuelsson Kalm), pdf, Adv. Math. 305 (2017), 1320-1355
- On a representation of the fundamental class of an ideal due
to Lejeune-Jalabert, pdf,
Ann. Fac. Sci. Toulouse Math. (6) 25 (2016), 1051-1078
- Adjunction for the Grauert-Riemenschneider canonical sheaf and
extension of L²-cohomology classes
(with
Jean
Ruppenthal and
Håkan Samuelsson Kalm),
pdf, Indiana Univ. Math. J. 64 (2015), 533-558
- Global effective versions of the Briançon-Skoda-Huneke
theorem (with Mats Andersson), pdf, Invent. Math. 200 (2015), 607-651
- Green functions, Segre numbers, and King's formula
(with Mats
Andersson), pdf,
Ann. Inst. Fourier 64 (2014), 2639-2657
- Stabilization of monomial maps in higher codimension
(with Jan-Li Lin),
pdf,
Ann. Inst. Fourier 64 (2014), 2127-2146
- Computing residue currents of monomial ideals using comparison
formulas
(with Richard
Lärkäng), pdf,
Bull. Sci. Math. 138 (2014), 376-392
- Canonical heights for plane polynomial maps of small topological degree (with Mattias
Jonsson), pdf,
Math. Res. Lett. 19 (2012), 1207-1217
- Degree growth of monomial maps and McMullen's polytope
algebra
(with Charles
Favre), pdf,
Indiana Univ. Math. J. 61 (2012), 493-524
- On weighted Bochner-Martinelli residue
currents, pdf,
Math. Scand. 110 (2012), 18-34
- Variants of the effective Nullstellensatz and residue
calculus
(with Mats
Andersson), pdf, Notions of
Positivity and the Geometry of Polynomials, 17 - 31, Trends Math.,
2011
- Stabilization of monomial maps
(with Mattias
Jonsson), pdf, Michigan Math. J. 60 (2011), 629-660
- Sparse effective membership problems via residue currents, pdf, Math. Ann. 350 (2011), 661-682
- Some variants of Macaulay's and Max Noether's
theorems, pdf,
J. Commut. Algebra 2 (2010), 567-580 (special issue in honor of
Ralf Fröberg)
- Decomposition of residue currents (with Mats Andersson), pdf, J. Reine Angew. Math. 638 (2010), 103-118
- On Bochner-Martinelli residue currents and their annihilator ideals (with Mattias Jonsson), pdf, Ann. Inst. Fourier 59 (2009), 2119-2142
- Residue currents constructed from resolutions of monomial
ideals, pdf, Math. Z. 262 (2009), 235-253
- Residue currents with prescribed annihilator ideals
(with Mats Andersson), pdf, Ann. Sci. École Norm. Sup. 40 (2007), 985-1007
- Products of residue currents of Cauchy-Fantappiè-Leray type, pdf, Ark. Mat. 45 (2007), 157-178
- Residue currents of monomial ideals, pdf, Indiana Univ. Math. J. 56 (2007), 365-388
Theses
- Residue Currents and their Annihilator Ideals, pdf, Ph. D. Thesis, 2007
- Products of Residue Currents of Cauchy-Fantappiè-Leray Type, pdf, Licentiate Thesis, 2004
- Pattern Avoidance in Involutions, pdf, Master's Thesis, 2002