Plane curve germs and contact factorization
Publication type: Journal Article
Publication date: 2024-11-30
scimago Q2
wos Q4
SJR: 0.504
CiteScore: 2.9
Impact factor: 0.6
ISSN: 09381279, 14320622
Abstract
Given an algebraic germ of a plane curve at the origin, in terms of a bivariate polynomial, we analyze the complexity of computing an irreducible decomposition up to any given truncation order. With a suitable representation of the irreducible components, and whenever the characteristic of the ground field is zero or larger than the degree of the germ, we design a new algorithm that involves a nearly linear number of arithmetic operations in the ground field plus a small amount of irreducible univariate polynomial factorizations.
Found
Nothing found, try to update filter.
Found
Nothing found, try to update filter.
Top-30
Journals
|
1
|
|
|
Journal of Complexity
1 publication, 100%
|
|
|
1
|
Publishers
|
1
|
|
|
Elsevier
1 publication, 100%
|
|
|
1
|
- We do not take into account publications without a DOI.
- Statistics recalculated weekly.
Are you a researcher?
Create a profile to get free access to personal recommendations for colleagues and new articles.
Metrics
1
Total citations:
1
Citations from 2024:
1
(100%)
Cite this
GOST |
RIS |
BibTex |
MLA
Cite this
GOST
Copy
VAN DER HOEVEN J. et al. Plane curve germs and contact factorization // Applicable Algebra in Engineering, Communications and Computing. 2024. Vol. 36. No. 1. pp. 5-106.
GOST all authors (up to 50)
Copy
VAN DER HOEVEN J., Lecerf G. Plane curve germs and contact factorization // Applicable Algebra in Engineering, Communications and Computing. 2024. Vol. 36. No. 1. pp. 5-106.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1007/s00200-024-00669-z
UR - https://link.springer.com/10.1007/s00200-024-00669-z
TI - Plane curve germs and contact factorization
T2 - Applicable Algebra in Engineering, Communications and Computing
AU - VAN DER HOEVEN, JORIS
AU - Lecerf, Grégoire
PY - 2024
DA - 2024/11/30
PB - Springer Nature
SP - 5-106
IS - 1
VL - 36
SN - 0938-1279
SN - 1432-0622
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{2024_VAN DER HOEVEN,
author = {JORIS VAN DER HOEVEN and Grégoire Lecerf},
title = {Plane curve germs and contact factorization},
journal = {Applicable Algebra in Engineering, Communications and Computing},
year = {2024},
volume = {36},
publisher = {Springer Nature},
month = {nov},
url = {https://link.springer.com/10.1007/s00200-024-00669-z},
number = {1},
pages = {5--106},
doi = {10.1007/s00200-024-00669-z}
}
Cite this
MLA
Copy
VAN DER HOEVEN, JORIS, et al. “Plane curve germs and contact factorization.” Applicable Algebra in Engineering, Communications and Computing, vol. 36, no. 1, Nov. 2024, pp. 5-106. https://link.springer.com/10.1007/s00200-024-00669-z.