Work

Postulation for 2-superfat points in the plane

Year: 2025

Type: article

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.

Source: ANNALI DELL UNIVERSITA DI FERRARA

DOI: 10.1007/s11565-025-00614-z

Authors: Stefano Canino, Maria V. Catalisano, Alessandro Gimigliano, Monica Idà, Alessandro Oneto

Institutions: University of Warsaw, University of Genoa, University of Bologna, University of Trento

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: European Commission, Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Trento, Uniwersytet Warszawski