Finiteness theorems for factorizations.
Fittings's Invariants and a Theorem of Grauert.
Fixed-place ideals in commutative rings
Let be a semi-prime ideal. Then is called irredundant with respect to if . If is the intersection of all irredundant ideals with respect to , it is called a fixed-place ideal. If there are no irredundant ideals with respect to , it is called an anti fixed-place ideal. We show that each semi-prime ideal has a unique representation as an intersection of a fixed-place ideal and an anti fixed-place ideal. We say the point is a fixed-place point if is a fixed-place ideal. In this situation...
Flache T1-Stabilität in der Stratifizierung Verseller Entfaltungen.
Flat exterior Tor algebras and cotangent complexes.
Flat Ideals II.
Flat Modules and Torsion Theories.
Flat modules in algebraic geometry
Flatness testing over singular bases
We show that non-flatness of a morphism φ:X→ Y of complex-analytic spaces with a locally irreducible target of dimension n manifests in the existence of vertical components in the n-fold fibred power of the pull-back of φ to the desingularization of Y. An algebraic analogue follows: Let R be a locally (analytically) irreducible finite type ℂ-algebra and an integral domain of Krull dimension n, and let S be a regular n-dimensional algebra of finite type over R (but not necessarily a finite R-module),...
F-modules: applications to local cohomology and D-modules in characteristic p>0.
Fonctions à valeurs entières et module de Carlitz
Soient le module de Carlitz, un polynôme de et l’ensemble . Nous montrons qu’une fonction entière de type quadratique qui prend des valeurs entières sur , est polynomiale. De plus, la borne est optimale. Ceci est un analogue en caractéristique finie du théorème de Gel’fond-Pólya.
Fonctions analytiques dans le complémentaire d'une famille de disques
Fonctions arithmétiques [Book]
Fonctions -lipschitziennes sur un anneau local et polynômes à valeurs entières
Fonctions pseudo-concaves et anneaux henséliens
Formal deformation of curves with group scheme action
We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.
Formal power series rings over a -domain
Formal prime ideals of infinite value and their algebraic resolution
Suppose that is a local domain essentially of finite type over a field of characteristic , and a valuation of the quotient field of which dominates . The rank of such a valuation often increases upon extending the valuation to a valuation dominating , the completion of . When the rank of is , Cutkosky and Ghezzi handle this phenomenon by resolving the prime ideal of infinite value, but give an example showing that when the rank is greater than , there is no natural ideal in that...
Formal relations between quasianalytic functions of some fixed class
In [Ga] Gabrielov has given conditions under which the completion of the kernel of a morphism φ: A → B between analytic rings coincides with the kernel of the induced morphism φ̂: Â → B̂ between the completions. If B is a domain, a sufficient condition is that rk φ = dim(Â/ker φ̂), where rk φ is the rank of the jacobian matrix of φ considered as a matrix over the quotient field of B. We prove that the above property holds in a fixed quasianalytic Denjoy-Carleman class if and only if the class coincides...
Formes d'inertie et complexe de Koszul associés à des polynômes plurihomogènes.
The existence of common zero of a family of polynomials has led to the study of inertial forms, whose homogeneous part of degree 0 constitutes the ideal resultant. The Kozsul and Cech cohomologies groups play a fundamental role in this study. An analogueous of Hurwitz theorem is given, and also, one finds a N. H. McCoy theorem in a particular case of this study.