Martin Helmer

Works (4)

Updated: April 5th, 2024 15:37

2024 journal article

Segre-driven radicality testing

JOURNAL OF SYMBOLIC COMPUTATION, 122.

By: M. Helmer n & E. Tsigaridas *

author keywords: Radical ideals; Segre class; Rational univariate representation; Testing if a polynomial ideal is radical; Intersection theory; Equidimensional decomposition
topics (OpenAlex): Polynomial and algebraic computation; Commutative Algebra and Its Applications; Advanced Numerical Analysis Techniques
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)
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.

By: M. Helmer n & V. Nanda *

author keywords: intersection multiplicity; stratified Morse theory; complex links; Hilbert-Samuel multiplicity
topics (OpenAlex): Polynomial and algebraic computation; Algebraic Geometry and Number Theory; Commutative Algebra and Its Applications
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
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.

By: M. Helmer n & V. Nanda *

topics (OpenAlex): Advanced Topology and Set Theory; Advanced Numerical Analysis Techniques; Homotopy and Cohomology in Algebraic Topology
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.

By: M. Helmer n & V. Nanda *

author keywords: Whitney stratification; Conormal variety; Ideal saturation
topics (OpenAlex): Polynomial and algebraic computation; Algebraic Geometry and Number Theory; Commutative Algebra and Its Applications
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

Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.

Certain data included herein are derived from the Web of Science© and InCites© (2025) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.