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Marcin Dumnicki
Marcin Dumnicki
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Counterexamples to the I (3)⊂ I2 containment
M Dumnicki, T Szemberg, H Tutaj-Gasińska
Journal of Algebra 393, 24-29, 2013
952013
Resurgences for ideals of special point configurations in PN coming from hyperplane arrangements
M Dumnicki, B Harbourne, U Nagel, A Seceleanu, T Szemberg, ...
Journal of Algebra 443, 383-394, 2015
732015
Linear subspaces, symbolic powers and Nagata type conjectures
M Dumnicki, B Harbourne, T Szemberg, H Tutaj-Gasińska
Advances in Mathematics 252, 471-491, 2014
492014
A containment result in 𝑃ⁿ and the Chudnovsky conjecture
M Dumnicki, H Tutaj-Gasińska
Proceedings of the American Mathematical Society 145 (9), 3689-3694, 2017
392017
Recent developments and open problems in linear series
T Bauer, C Bocci, S Cooper, S Di Rocco, M Dumnicki, B Harbourne, ...
Contributions to algebraic geometry 1, 93-140, 2012
372012
Containments of symbolic powers of ideals of generic points in ℙ³
M Dumnicki
Proceedings of the American Mathematical Society 143 (2), 513-530, 2015
332015
An algorithm to bound the regularity and nonemptiness of linear systems in Pn
M Dumnicki
Journal of Symbolic Computation 44 (10), 1448-1462, 2009
312009
New effective bounds on the dimension of a linear system in P2
M Dumnicki, W Jarnicki
Journal of Symbolic Computation 42 (6), 621-635, 2007
302007
Symbolic powers of ideals of generic points in P3
M Dumnicki
Journal of Pure and Applied Algebra 216 (6), 1410-1417, 2012
272012
Symbolic powers of planar point configurations
M Dumnicki, T Szemberg, H Tutaj-Gasińska
Journal of Pure and Applied Algebra 217 (6), 1026-1036, 2013
252013
Rationality of Seshadri constants and the Segre–Harbourne–Gimigliano–Hirschowitz conjecture
M Dumnicki, A Küronya, C Maclean, T Szemberg
Advances in Mathematics 303, 1162-1170, 2016
212016
Cutting diagram method for systems of plane curves with base points
M Dumnicki
Annales Polonici Mathematici 2 (90), 131-143, 2007
202007
Reduction method for linear systems of plane curves with base fat points
M Dumnicki
arXiv preprint math/0606716, 2006
202006
Very general monomial valuations of and a Nagata-type conjecture
M Dumnicki, B Harbourne, A Küronya, J Roé, T Szemberg
Communications in Analysis and Geometry 25 (1), 125-161, 2017
172017
A counter-example to a question by Huneke and Harbourne
M Dumnicki, T Szemberg, H Tutaj-Gasinska
arXiv preprint ArXiv:1301.7440, 2013
162013
Points fattening on P1× P1 and symbolic powers of bi-homogeneous ideals
M Baczyńska, M Dumnicki, A Habura, G Malara, P Pokora, T Szemberg, ...
Journal of Pure and Applied Algebra 218 (8), 1555-1562, 2014
152014
On absolute linear Harbourne constants
M Dumnicki, D Harrer, J Szpond
Finite Fields and Their Applications 51, 371-387, 2018
132018
Unexpected surfaces singular on lines in
M Dumnicki, B Harbourne, J Roé, T Szemberg, H Tutaj-Gasińska
European Journal of Mathematics 7, 570-590, 2021
122021
On the Sylvester–Gallai theorem for conics
A Czapliński, M Dumnicki, Ł Farnik, J Gwoździewicz, ...
Rendiconti del Seminario Matematico della Universita di Padova 136, 191-203, 2016
112016
Line arrangements with the maximal number of triple points
M Dumnicki, Ł Farnik, A Główka, M Lampa-Baczyńska, G Malara, ...
Geometriae dedicata 180, 69-83, 2016
102016
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