An improved algorithm for the resolution of singularities

Authors:
Gábor Bodnár;Josef Schicho
Affiliations:
RISC, Univ. Linz, A-4040 Linz, Austria;RISC, Univ. Linz, A-4040 Linz, Austria
Venue:
ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
Year:
2000

Citing 4
Cited 0

A p-adic approach to the computation ofGröbner bases

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Gro¨bner bases: a computational approach to commutative algebra

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Rational parametrization of surfaces

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Automated resolution of singularities for hypersurfaces

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Abstract

This paper contains several improvements of Villamayor's algorithm for the problem of resolution of the singularities of a hypersurface. The first improves the management of the charts which represent the blown up variety. The second improves the way how new resolution problems are created in the recursion, based on Hironaka's theory of idealistic exponents. The remaining two improve the way how discrete information is used, based on the adaption of Encinas and Villamayor of Abhyankar's theory of good points.