Rational components of Hilbert schemes
Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis
We deal with a reduction of power series convergent in a polydisc with respect to a Gröbner basis of a polynomial ideal. The results are applied to proving that a Nash function whose graph is algebraic in a "large enough" polydisc, must be a polynomial. Moreover, we give an effective method for finding this polydisc.
Regular Sequences of Symmetric Polynomials
Regularity for certain classes of monomial ideals.
Résultats récents d'algèbre commutative effective