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Preprints and accepted papers

Ngoc Cuong Nguyen, Sławomir Kołodziej Hölder continuous solutions of the Monge-Ampère equation on compact Hermitian manifolds

Ngoc Cuong Nguyen, Sławomir Kołodziej Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds

Rafal Czyż (with: Per Ahag, Lisa Hed) The geometry of m-hyperconvex domains accepted in Journal of Geometric Analysis, DOI:10.1007/s12220-017-9957-2

Sławomir Dinew (with: Hoang-Son Do, Tat Dat To) A viscosity approach to the Dirichlet problem for degenerate complex Hessian type equations

Grzegorz Kapustka (with Michał Kapustka, Riccardo Moschetti) Equivalence of K3 surfaces from Verra threefolds accepted in KYOTO JOURNAL OF MATHEMATICS

Grzegorz Kapustka (with: Chiara Camere, Michał Kapustka, Giovanni Mongardi) Verra fourfolds, twisted sheaves and the last involutions accepted in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Grzegorz Kapustka (with: Atanas Iliev, Michał Kapustka, Kristian Ranestad) EPW Cubes accepted in Journal für die reine und angewandte Mathematik

Szymon Myga The geometry of $\mathbb C^2$ equipped with Warren's metric accepted in Annales Polonici Mathematici

Szymon Pliś The smoothing of $m$-subharmonic functions

Van Thien Nguyen On m-Subharmonic Ordering of Measures accepted in Results in Mathematics

                      

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Papers in journals

Ngoc Cuong Nguyen (with: Dongwei Gu) The Dirichlet problem for a complex Hessian equation on compact Hermitian manifolds with boundary Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Volume 18, Issue 4, 2018, Pages 1189-1248

Ngoc Cuong Nguyen The complex Monge-Ampère type equation on compact Hermitian manifolds and Applications Advances in Mathematics, Volume 286, 2016, Pages 240–285

Ngoc Cuong Nguyen, Sławomir Kołodziej Weak solutions of complex Hessian equations on compact Hermitian manifolds Compositio Mathematica, Volume 152, Issue 11, 2016, Pages 2221-2248

Rafal Czyż (with: Per Ahag, Lisa Hed) Extension and approximation of m-subharmonic functions Complex Variables and Elliptic Equations: An International Journal, Volume 63, Issue 6, 2018, Pages 783-801

Rafał Czyż (with: Per Åhag, Per Hakan Lundow), A Counterexample to a Conjecture by Błocki–Zwonek Experimental Mathematics, Volume 27, Issue 1, 2018, Pages 119-124

Rafał Czyż, Nguyen Van Thien On a constant in the energy estimate, Comptes Rendus Mathematique, Volume 355, Issue 10, 2017, Pages 1050-1054

Rafał Czyż (with: Per Åhag) On the complex Monge-Ampere operator in unbounded domains UNIVERSITATIS IAGELLONICAE ACTA MATHEMATICA, Volume 54, 2017, Pages 7-13

Rafał Czyż (with: Per Åhag) On the Błocki–Zwonek conjectures Complex Variables and Elliptic Equations: An International Journal, Volume 60, Issue 9, 2015, Pages 1270-1276

Rafał Czyż (with: Per Åhag) On the Błocki–Zwonek conjectures and beyond Archiv der Mathematik, Volume 105, Issue 4, 2015, Pages 371-380

Rafał Czyż (with: Per Åhag and Urban Cegrell) Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge–Ampère operator Journal of Mathematical Analysis and Applications Volume 422, Issue 2, 2015, Pages 960–980

Sławomir Dinew, Sławomir Kołodziej Non standard properties of m -subharmonic functions Dolomites Research Notes on Approximation, Volume 11, Issue 4, 2018, Pages 35-50

Sławomir Dinew, Grzegorz Kapustka (with: Michał Kapustka) Remarks on Mukai threefolds admitting C* action Moscow Mathematical Journal, Volume 17, Issue 1, 2017, Pages 15-33

Sławomir Dinew Pluripotential theory on compact Hermitian manifolds Annales de la Faculté des Sciences de Toulouse, Volume 25, 2016, Pages 91-139

Sławomir Dinew (with: Chinh H. Lu) Mixed Hessian inequalities and uniqueness in the class E(X,ω,m) Mathematische Zeitschrift, Volume 279, Issue 3, 2015, Pages 753-766

Sławomir Dinew, Żywomir Dinew The minimum sets and free boundaries of strictly plurisubharmonic functions Calculus of Variations and PDE's, Volume 55, 2016, Article: 148

Grzegorz Kapustka (with: Maria Donten-Bury, Bert van Geemen, Michał Kapustka, Jarosław A. Wiśniewski) A very special EPW sextic and two IHS fourfolds Geometry & Topology, Volume 21, Issue 2, 2017, Pages 1179–1230

Sławomir Kołodziej Weak solutions of the Monge–Ampère equation on compact Hermitian manifolds International Journal of Mathematics, Volume 28, Issue 9, 2017, 23pages

Sławomir Kołodziej, Ngoc Cuong Nguyen Weak solutions to the complex Monge-Ampère equation on Hermitian manifolds, Contemporary Mathematics, Volume 644, 2015, Pages 141-158

Szymon Pliś (with: F. Reese Harvey, H. Blaine Lawson, Jr.) Smooth Approximation of Plurisubharmonic Functions on Almost Complex Manifolds Mathematische Annalen, Volume 366, Issue 3, 2016, Pages 929–940

Van Thien Nguyen A characterization of the Cegrell classes and generalized m-capacities Annales Polonici Mathematici, Volume 121, Issue 1, 2018, Pages 33-43

Van Thien Nguyen The convexity of radially symmetric m-subharmonic functions Complex Variables and Elliptic Equations: An International Journal, Volume 63, Issue 10, 2018, Pages 1396-1407

Van Thien Nguyen On delta m-subharmonic functions, Annales Polonici Mathematici, Volume 118, Issue 1, 2016, Pages 25-49