Perturbations of intersection multiplicity

We introduce, for any pair of plane curve singularities, a new computable invariant [Formula: see text] and prove that the intersection multiplicity of [Formula: see text] and [Formula: see text] is stable under small perturbations of degree at least [Formula: see text].

Authors

Institutions

Publication Details

Journal
Journal of Algebra and Its Applications
Published
2026-04-16
DOI
https://doi.org/10.1142/s0219498827502094
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Perturbations of intersection multiplicity

Hồng Đức Nguyễn, Thi Huyen Pham
Journal of Algebra and Its Applications
Polynomial and algebraic computation
article

Perturbations of intersection multiplicity

Hồng Đức Nguyễn, Thi Huyen Pham
article en

Abstract

We introduce, for any pair of plane curve singularities, a new computable invariant [Formula: see text] and prove that the intersection multiplicity of [Formula: see text] and [Formula: see text] is stable under small perturbations of degree at least [Formula: see text].

Journal of Algebra and Its Applications
Hanoi Pedagogical University 2 (VN), Thang Long University (VN)
Openalex Percentile: Top 21%
Polynomial and algebraic computation
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Perturbations of intersection multiplicity — Hồng Đức Nguyễn, Thi Huyen Pham · Journal of Algebra and Its Applications (2026) | TGRS Research Map | TGRS