Centre Symmetry Sets of Families of Plane Curves
- Submitting institution
-
Liverpool Hope University
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- GR23C
- Type
- D - Journal article
- DOI
-
10.1515/dema-2015-0016
- Title of journal
- Demonstratio Mathematica
- Article number
- -
- First page
- 167
- Volume
- 48
- Issue
- 2
- ISSN
- 2391-4661
- Open access status
- Compliant
- Month of publication
- -
- Year of publication
- 2015
- URL
-
https://www.degruyter.com/view/j/dema.2015.48.issue-2/dema-2015-0016/dema-2015-0016.xml?format=INT
- Supplementary information
-
-
- Request cross-referral to
- 10 - Mathematical Sciences
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
1
- Research group(s)
-
M - Mathematical Sciences Research (MSR)
- Citation count
- 6
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- Centre symmetry sets of plane curves have been studied by various authors since the 1990s. One case which occurs generically in 1-parameter families that had been overlooked is where two points of the curve have parallel inflexions. This turns out to be one of the most interesting cases and leads to new normal forms in the classification. This purely geometrical study has since been applied by other authors in diverse areas such as semi-classical physics in the study of Wigner caustics.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
