On the Hilbert Function of Partially General Unions of Double Points

Edoardo Ballico ()
Additional contact information
Edoardo Ballico: Department of Mathematics, University of Trento, 38123 Trento, Italy

Mathematics, 2025, vol. 13, issue 23, 1-26

Abstract: We study the Hilbert function of a union of a fixed set of double points and a prescribed number of general double points. Our main results are for double points of Veronese varieties and of Segre–Veronese varieties. Among the Segre–Veronese varieties, we study the ones with all factors of dimension one and the ones with two factors, one of them of dimension one. We give many examples with exceptional or controlled behavior for a small number of double points.

Keywords: Veronese variety; Segre–Veronese variety; secant variety; zero-dimensional scheme; double point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/23/3808/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/23/3808/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:23:p:3808-:d:1804787

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().