The purpose of this note is to present and study a new series of the so-called unexpected curves. They enjoy a surprising property to the effect that their degree grows to infinity, whereas the multiplicity at a general fat point remains constant, equal
Révisé le :
Accepté le :
Publié le :
Jakub Kabat 1 ; Beata Strycharz-Szemberg 2

@article{CRMATH_2020__358_5_603_0, author = {Jakub Kabat and Beata Strycharz-Szemberg}, title = {Diminished {Fermat-type} arrangements and unexpected curves}, journal = {Comptes Rendus. Math\'ematique}, pages = {603--608}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {5}, year = {2020}, doi = {10.5802/crmath.77}, language = {en}, }
Jakub Kabat; Beata Strycharz-Szemberg. Diminished Fermat-type arrangements and unexpected curves. Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 603-608. doi : 10.5802/crmath.77. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.77/
[1] Quartic unexpected curves and surfaces, Manuscr. Math., Volume 161 (2020) no. 3-4, pp. 283-292 | DOI | MR | Zbl
[2] Sets of points which project to complete intersections (2019) | arXiv
[3] Line arrangements and configurations of points with an unexpected geometric property, Compos. Math., Volume 154 (2018) no. 10, pp. 2150-2194 | DOI | MR | Zbl
[4] Singular hypersurfaces characterizing the Lefschetz properties, J. Lond. Math. Soc., Volume 89 (2014) no. 1, pp. 194-212 | DOI | MR | Zbl
[5] A matrixwise approach to unexpected hypersurfaces, Linear Algebra Appl., Volume 592 (2020), pp. 113-133 | DOI | MR | Zbl
[6] Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces (2020) | arXiv
[7] Unexpected hypersurfaces and where to find them (2018) (to appear in Mich. Math. J.) | arXiv
[8] New constructions of unexpected hypersurfaces in
[9] Fermat-type arrangements (2019) | arXiv
[10] Unexpected hypersurfaces with multiple fat points (2019) | arXiv
[11] Unexpected curves and Togliatti–type surfaces, Math. Nachr., Volume 293 (2020), pp. 158-168 | DOI | Zbl
Cité par Sources :
Commentaires - Politique