Polynomial expansion
Author:
Shreeram S. Abhyankar
Journal:
Proc. Amer. Math. Soc. 126 (1998), 1583-1596
MSC (1991):
Primary 12F10, 14H30, 20D06, 20E22
DOI:
https://doi.org/10.1090/S0002-9939-98-04183-5
MathSciNet review:
1443142
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: The idea of initial form is refined into the concept of polyform. This can be used to streamline desingularization.
- Shreeram Shankar Abhyankar, Resolution of singularities of embedded algebraic surfaces, Pure and Applied Mathematics, Vol. 24, Academic Press, New York-London, 1966. MR 0217069
- Shreeram S. Abhyankar, Desingularization of plane curves, Singularities, Part 1 (Arcata, Calif., 1981) Proc. Sympos. Pure Math., vol. 40, Amer. Math. Soc., Providence, RI, 1983, pp. 1–45. MR 713043
- Shreeram S. Abhyankar, Weighted expansions for canonical desingularization, Lecture Notes in Mathematics, vol. 910, Springer-Verlag, Berlin-New York, 1982. With a foreword by U. Orbanz. MR 653634
- Shreeram S. Abhyankar, Good points of a hypersurface, Adv. in Math. 68 (1988), no. 2, 87–256. MR 934366, DOI https://doi.org/10.1016/0001-8708%2888%2990015-1
- Bhaskaracharya, Beejaganit, 1150.
- Hideyuki Matsumura, Commutative algebra, 2nd ed., Mathematics Lecture Note Series, vol. 56, Benjamin/Cummings Publishing Co., Inc., Reading, Mass., 1980. MR 575344
- Masayoshi Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers a division of John Wiley & Sons New York-London, 1962. MR 0155856
- Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N. J.-Toronto-London-New York, 1960. MR 0120249
Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 12F10, 14H30, 20D06, 20E22
Retrieve articles in all journals with MSC (1991): 12F10, 14H30, 20D06, 20E22
Additional Information
Shreeram S. Abhyankar
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
ram@cs.purdue.edu
Received by editor(s):
July 29, 1996
Received by editor(s) in revised form:
November 8, 1996
Additional Notes:
This work was partly supported by the Deutsche Forschungsgemeinschaft and the National Security Agency.
Dedicated:
Dedicated to Herbert Popp for his Sixtieth Birthday
Communicated by:
Wolmer V. Vasconcelos
Article copyright:
© Copyright 1998
American Mathematical Society