An Algorithm to Compute the Equations of Tangent Cones

@inproceedings{Mora1982AnAT,
  title={An Algorithm to Compute the Equations of Tangent Cones},
  author={Ferdinando Mora},
  booktitle={EUROCAM},
  year={1982}
}
The tangent cone of an algebraic variety in a singular point (w.l.o.g. the origin) is the cone which is the best approximation of the variety near the point. From an algebraic point of view,polynomial rings have a natural grading,under which polynomials split into homogeneous forms:the initial form of a polynomial is the homogeneous form of least degree which appears in this splitting.The tangent cone of a variety V is then the variety defined by the ideal of all the initial forms of… CONTINUE READING
Highly Cited
This paper has 59 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
38 Citations
6 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 38 extracted citations

60 Citations

0510'88'94'01'08'15
Citations per Year
Semantic Scholar estimates that this publication has 60 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-6 of 6 references

A constructive characterization of standard bases

  • F. MORA
  • Ist . Mat . Univ . Genova
  • 1981

On Serre ' s condition in the form ring of an ideal

  • G. NIESI M. P. CAVALIERE
  • J . Math . Kyoto Univ .
  • 1981

Classification of monomial curves , Rapp . lst

  • F. MORA
  • Mat . Univ . Genova
  • 1980

On the equations defining tangent cones , Math

  • G. VALLA
  • Proc ° Camb . Phil . Soc
  • 1980

Miscellaneous results on the construction of Gr 0 bner bases for polynomial ideals

  • G. NIESI M. P. CAVALIERE
  • Bericht 137 , Inst . Math . Univ . Linz
  • 1979

Similar Papers

Loading similar papers…