Araştırma Makalesi
Yıl 2022,
, 743 - 756, 01.06.2022
Öz
We characterize the map germs of corank at most 11 with AA-codimension ≤6≤6 in terms of certain invariants such as multiplicity and the number of cusps of map germs. On the basis of this characterization we present an algorithm to classify the map germs of corank at most 11 from (C2,0)(C2,0) to (C2,0)(C2,0) with AA-codimension ≤6≤6 and also give its implementation in the computer algebra system SINGULAR.
Anahtar Kelimeler
Destekleyen Kurum
HEC
Proje Numarası
7495
Kaynakça
- [1] S. Aslam, M.A. Binyamin, and G. Pfister, Recognition of unimodal map germs from the plane to the plane by invariants, Int. J. Algebra Comput. 28 (7), 1199–1208, 2018.
- [2] M.A. Binyamin, H. Mahmood, and S. Kanwal, On the classification of simple maps from the plane to the plane, J. Algebra Appl. 16 (10), 2017, 1750199.
- [3] W. Decker, G.-M. Greuel, G. Pfister, and H. Schönemann, SINGULAR 4-1-0 — A computer algebra system for polynomial computations, http://www.singular.uni-kl.de, 2017.
- [4] T. Gaffney, The structure of TAf classification and an application to differential geometry, In singularities, Part I, Proc. Sympos. in Pure Math., Amer. Math. Soc. 40, 409–427, 1983.
- [5] Y. Kabata, Recognition of plane-to-plane map-germs, Topol. Appl. 202, 216–238, 2016.
- [6] J.H. Rieger, Families of maps from the plane to the plane, J. London Math. Soc. 26 (2), 351–369, 1987.
- [7] J.H. Rieger, A-unimodal map-germs into the plane, Hokkaido Math. J. 33, 47–64, 2004.
- [8] K. Saji, Criteria for singularities of smooth maps from the plane into the plane and their applications, Hiroshima Math. J. 40, 229–239, 2010.
Yıl 2022,
, 743 - 756, 01.06.2022
Öz
Proje Numarası
7495
Kaynakça
- [1] S. Aslam, M.A. Binyamin, and G. Pfister, Recognition of unimodal map germs from the plane to the plane by invariants, Int. J. Algebra Comput. 28 (7), 1199–1208, 2018.
- [2] M.A. Binyamin, H. Mahmood, and S. Kanwal, On the classification of simple maps from the plane to the plane, J. Algebra Appl. 16 (10), 2017, 1750199.
- [3] W. Decker, G.-M. Greuel, G. Pfister, and H. Schönemann, SINGULAR 4-1-0 — A computer algebra system for polynomial computations, http://www.singular.uni-kl.de, 2017.
- [4] T. Gaffney, The structure of TAf classification and an application to differential geometry, In singularities, Part I, Proc. Sympos. in Pure Math., Amer. Math. Soc. 40, 409–427, 1983.
- [5] Y. Kabata, Recognition of plane-to-plane map-germs, Topol. Appl. 202, 216–238, 2016.
- [6] J.H. Rieger, Families of maps from the plane to the plane, J. London Math. Soc. 26 (2), 351–369, 1987.
- [7] J.H. Rieger, A-unimodal map-germs into the plane, Hokkaido Math. J. 33, 47–64, 2004.
- [8] K. Saji, Criteria for singularities of smooth maps from the plane into the plane and their applications, Hiroshima Math. J. 40, 229–239, 2010.
Toplam 8 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Proje Numarası | 7495 |
| Yayımlanma Tarihi | 1 Haziran 2022 |
| Yayımlandığı Sayı | Yıl 2022 |