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ON THE REGULARITY INDEX OF FAT POINTS WHOSE SUPPORT IS CONTAINED IN A LINEAR PROPER SUBSPACE

Part of: Commutative algebra: Homological methods Cycles and subschemes

Published online by Cambridge University Press:  20 June 2025

PHAN VAN THIEN Open the ORCID record for PHAN VAN THIEN [Opens in a new window]
PHAN VAN THIEN*
Affiliation:
Department of Mathematics, https://ror.org/04bm3wy68 University of Education, Hue University , Hue City, Vietnam
*
e-mail: pvthien@hueuni.edu.vn
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Abstract

We prove the conjecture of Franceschini and Lorenzini [‘Fat points of $\mathbb P^n$ whose support is contained in a linear proper subspace’, J. Pure and Appl. Algebra 160 (2001), 169–182] about the regularity index of fat points of $\mathbb P^n$ whose support is contained in a linear proper subspace.

Keywords

fat pointsregularity index

MSC classification

Primary: 14C20: Divisors, linear systems, invertible sheaves
Secondary: 13D40: Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , First View , pp. 1 - 8
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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References

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