arXiv Open Access 2022

On invariant of the regularity index of fat points

Phan Van Thien

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Abstrak

We prove invariant of the regularity index of fat points under changes of the linear subspace containing the support of the fat points. Then we show that Segre's bound is attained by any set of s non-degenerate equimultiple fat points in $\mathbb P^n$, $s\le n+3$. We also give an example showing that there always exists a set of n+4 non-degenerate equimultiple fat points in $\mathbb P^n$ such that Segre's bound is not attained.

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math.AG

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Phan Van Thien

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Thien, P.V. (2022). On invariant of the regularity index of fat points. https://arxiv.org/abs/2201.00476

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓