An algebraic method for calculating the topological degree

• Autorzy: Andrzej Łęcki , Zbigniew Szafraniec
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 35
• Numer: 1
• Strony: 73-83

Daty

wydano

1996

Twórcy

autor

Andrzej Łęcki

• Institute of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Zbigniew Szafraniec

• Institute of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

Bibliografia

• [1] V. I. Arnold, A. N. Varchenko and S. M. Gusein-Zade, Singularities of differentiable maps, vol. 2, Birkhäuser 1988.
• [2] E. Becker, J.-P. Cardinal, M.-F. Roy, Z. Szafraniec, Multivariate Bezoutians, Kronecker symbol and Eisenbud & Levine formula, to appear in Proceedings of MEGA 94 Conference.
• [3] T. Becker, V. Weispfennig, H. Kerdel, Gröbner Bases, Springer-Verlag 1993.
• [4] J.-P. Cardinal, Dualité et algorithmes itératifs pour la résolution des systèmes polynomiaux, Thèse, Université de Rennes I, 1993.
• [5] D. Eisenbud, H. I. Levine, An algebraic formula for the degree of a $C^∞$ map germ, Annals of Mathematics 106 (1977), 19-44.
• [6] W. Fulton, Algebraic curves- An introduction to algebraic geometry, W. A. Benjamin, New York, Amsterdam 1969.
• [7] E. Kunz, Kähler Differentials (Advanced Lectures in Mathematics), Braunschweig, Wiesbaden: Vieweg 1986.
• [8] G. M. Khimshiashvili, On the local degree of a smooth map, Soobshch. Akad. Nauk Gruz. SSR 85 (1977), 309-311.
• [9] A. Łęcki and Z. Szafraniec, Applications of the Eisenbud & Levine's theorem to real algebraic geometry, in Computational Algebraic Geometry (Progr. in Math. 109) Birkhäuser, 1993, 177-184.
• [10] G. Scheja and U. Storch, Über Spurfunktionen bei vollständingen Durchschnitten, Journal reine angew Math. 278/279 (1975), 174-190.