Postulation for 2-superfat points in the plane
Abstract We study the postulation of 0-dimensional schemes given by unions of 2-superfat points in general position in the plane, i.e., the union of local schemes defined by the intersection of two distinct double lines. We prove that such schemes have good postulation, i.e., they have the expected Hilbert function. We also show the good postulation of such schemes when we add a general 3-fat point. Finally, we use these results to answer a peculiar kind of interpolation problem.
Authors
- Stefano Canino (ORCID: https://orcid.org/0000-0002-1606-4741)
- Alessandro Gimigliano (ORCID: https://orcid.org/0000-0001-9501-8411)
- Alessandro Oneto (ORCID: https://orcid.org/0000-0002-8142-6382)
- Maria Virginia Catalisano (ORCID: https://orcid.org/0000-0001-6994-1368)
- Monica Idà (ORCID: https://orcid.org/0000-0003-4111-2423)
Institutions
- University of Trento (IT)
- University of Warsaw (PL)
- University of Genoa (IT)
- University of Bologna (IT)
Publication Details
- Journal
- ANNALI DELL UNIVERSITA DI FERRARA
- Published
- 2025-11-07
- DOI
- https://doi.org/10.1007/s11565-025-00614-z
- Citations
- 1
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 4.09