We prove the existence of ternary forms admitting apolar sets of points of cardinality equal to the Waring rank, but having different Hilbert function and different regularity. This is done exploiting liaison theory and Cayley-Bacharach properties for sets of points in the projective plane.
Angelini, E., Chiantini, L., Oneto, A. (2024). Waring decompositions of special ternary forms with different Hilbert functions. In A. Iarrobino, P. Macias Marques, M. E. Rossi, J. Vallès (a cura di), Deformation of Artinian Algebras and Jordan Type (pp. 77-93). American Mathematical Society [10.1090/conm/805/16127].
Waring decompositions of special ternary forms with different Hilbert functions
Angelini E.Membro del Collaboration Group
;Luca ChiantiniMembro del Collaboration Group
;
2024-01-01
Abstract
We prove the existence of ternary forms admitting apolar sets of points of cardinality equal to the Waring rank, but having different Hilbert function and different regularity. This is done exploiting liaison theory and Cayley-Bacharach properties for sets of points in the projective plane.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1285243