Sulla seminormalità delle superficie algebriche
Sulla trasversalità di due superfici in
Siano una curva ridotta ed irriducibile, ed un sistema minimale di generatori dell'ideale omogeneo . Nel § 2 determiniamo una condizione necessaria e sufficiente perché due superfici , , aventi equazioni ,
Sulle deformazioni delle varieta algebriche intersezioni complete non singolari di codimensione 2
Sulle ipersuperficie generate dalla Jacobiana di un sistema lineare di quadriche.
Sum of squares and the Łojasiewicz exponent at infinity
Let V ⊂ ℝⁿ, n ≥ 2, be an unbounded algebraic set defined by a system of polynomial equations and let f: ℝⁿ→ ℝ be a polynomial. It is known that if f is positive on V then extends to a positive polynomial on the ambient space ℝⁿ, provided V is a variety. We give a constructive proof of this fact for an arbitrary algebraic set V. Precisely, if f is positive on V then there exists a polynomial , where are sums of squares of polynomials of degree at most p, such that f(x) + h(x) > 0 for x...
Sums of 2 n-th Powers of Real Meromorphic Functions.
Sums of powers in rings and the real holomorphy ring.
Sums of squares and quadratric forms in real algebraic geometry
Superfici algebriche con curve canoniche
Supersingular curves of genus two and class numbers
Supersingular surfaces
Supersingular K 3 surfaces with big Artin invariant.
Supersingular primes for elliptic curves over real number fields
Supplement to the paper "Improper intersections in complex analytic geometry" (Dissertationes Math. 391 (2001))
Supplement to the paper "Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices" (Ann. Polon. Math. 101 (2011), 275-291)
In IMUJ Preprint 2009/05 we investigated the quasianalytic perturbation of hyperbolic polynomials and symmetric matrices by applying our quasianalytic version of the Abhyankar-Jung theorem from IMUJ Preprint 2009/02, whose proof relied on a theorem by Luengo on ν-quasiordinary polynomials. But those papers of ours were suspended after we had become aware that Luengo's paper contained an essential gap. This gave rise to our subsequent article on quasianalytic perturbation theory, which developed,...
Sur certaines expressions quadruplement périodiques
Sur certaines propriétés métriques relatives aux polygones de Poncelet.
Sur certaines sommes arithmétiques
Sur certains sous-ensembles de l'espace euclidien
Soit l’algèbre des fonctions sur engendrée par les fonctions polynomiales et les exponentielles de formes linéaires. La partie de appartient à si et seulement s’il existe et dans pour lesquels est l’image par la projection canonique de sur , de l’ensemble des zéros de . Soit le plus petit sous-ensemble de parties de qui contient , l’adhérence de ses éléments et les images par la projection canonique de qui contient , l’adhérence de ses éléments et les images par la...
Sur certains sous-groupes de torsion de Joacobiennes de courbes hyperelliptiques de genre g ... 1.