Using semicontinuity for standard bases computations

DOI10.1007/s11786-022-00539-2OpenAlexW3194115108MaRDI QIDQ2103533

Gerhard Pfister, Hans Schönemann, Gert-Martin Greuel

Publication date: 14 December 2022

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.09735

zbMATH Keywords

semicontinuitystandard basesalgorithm for zero-dimensional idealshighest corner

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items

PBW bases of irreducible Ising modules, Conditional independence ideals with hidden variables

Uses Software

• SINGULAR

Cites Work

• Modular algorithms for computing Gröbner bases.
• Computing zero-dimensional schemes
• Semicontinuity of Singularity Invariants in Families of Formal Power Series
• SINGULAR
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