arXiv Open Access 2024

A Syzygial Method for Equidimensional Decomposition

Rafael Mohr

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Abstrak

Based on a theorem by Vasconcelos, we give an algorithm for equidimensional decomposition of algebraic sets using syzygy computations via Gröbner bases. This algorithm avoids the use of elimination, homological algebra and processing the input equations one-by-one present in previous algorithms. We experimentally demonstrate the practical interest of our algorithm compared to the state of the art.

Topik & Kata Kunci

cs.SC

Penulis (1)

Rafael Mohr

Format Sitasi

APA MLA BibTeX

Mohr, R. (2024). A Syzygial Method for Equidimensional Decomposition. https://arxiv.org/abs/2409.17785

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓