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Works (4)
Updated: April 5th, 2024 15:37
2024 journal article
Segre-driven radicality testing
JOURNAL OF SYMBOLIC COMPUTATION, 122.
author keywords: Radical ideals; Segre class; Rational univariate representation; Testing if a polynomial ideal is radical; Intersection theory; Equidimensional decomposition
TL;DR:
A probabilistic algorithm to test if a homogeneous polynomial ideal I defining a scheme X in Pn is radical using Segre classes and other geometric notions from intersection theory, which includes examples which are often considered pathological.
(via Semantic Scholar)
arxiv.org (repository)
Source: Web Of Science
Added: November 6, 2023
2023 journal article
Complex Links and Hilbert-Samuel Multiplicities
SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 7(1), 29–48.
author keywords: intersection multiplicity; stratified Morse theory; complex links; Hilbert-Samuel multiplicity
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: June 26, 2023
2023 article
Conormal Spaces and Whitney Stratifications (Jun, 10.1007/ s10208-022-09574- 8, 2022)
Helmer, M., & Nanda, V. (2023, February 1). FOUNDATIONS OF COMPUTATIONAL MATHEMATICS.
Source: Web Of Science
Added: March 6, 2023
2022 article
Conormal Spaces and Whitney Stratifications
Helmer, M., & Nanda, V. (2022, June 14). FOUNDATIONS OF COMPUTATIONAL MATHEMATICS.
author keywords: Whitney stratification; Conormal variety; Ideal saturation
TL;DR:
A new algorithm for computing Whitney stratifications of complex projective varieties using an algebraic criterion, due to Lê and Teissier, and a new interpretation of this conormal criterion via ideal saturations, which can be practically implemented on a computer.
(via Semantic Scholar)
Source: Web Of Science
Added: June 27, 2022
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