Monomorphismes et morphismes absolument plats
On equimultiple subschemes of a local scheme over a field of characteristic zero
On radical-equivalent and zero-equivalent ideals
On the Affine Bezout Inequaltiy.
On the Bass-Quillen Conjecture Concerning Projective Modules Over Polynomial Rings.
On the Chow Form.
On the Defining Equations of Points in General Position in Pn.
On the field of definition of superspecial polarized abelian varieties and type numbers
On the Finite Field Nullstellensatz for the intersection of two quadric hypersurfaces.
On the Noether exponent
We obtain, in a simple way, an estimate for the Noether exponent of an ideal I without embedded components (i.e. we estimate the smallest number μ such that ).
On the spectrum of a stable rank 3 reflexive sheaf on ...
On valuation spectra
Picardindex und ganzalgebraische Punkte.
Points of low degree on smooth plane curves.
Polygone de Newton et théorème de préparation
Polynomial Ring in Two Variables Over a D.V.R.: A Criterion.
Projective modules over real affine algebras.
Radicals of ideals that are not the intersection of radical primes
Various kinds of radicals of ideals in commutative rings with identity appear in many parts of algebra and geometry, in particular in connection with the Hilbert Nullstellensatz, both in the noetherian and the non-noetherian case. All of these radicals, except the *-radicals, have the fundamental, and very useful, property that the radical of an ideal is the intersection of radical primes, that is, primes that are equal to their own radical. It is easy to verify that when the...
Rational functions without poles in a compact set
Let X be an irreducible nonsingular complex algebraic set and let K be a compact subset of X. We study algebraic properties of the ring of rational functions on X without poles in K. We give simple necessary conditions for this ring to be a regular ring or a unique factorization domain.
Remarks on the Algebraic Approach to Intersection Theory.