Some Structure Theorems for Finite Free Resolutions Page 1 ADVANCES 1N MATHEMATICS
12, 84-139 (1974) Some Structure Theorems for Finite Free Resolutions DAVID A …

Diese Arbeit verdankt ihr Entstehen dem Wunsch, Beispiele zu konstruieren fiir das
Zusammenblasen von Deformationen der Aufl/3sung einer rationalen Singularit~ it zu …

Beginning with Hilbert's construction of what is now called the Koszul complex [18], the study
of finite free resolutions of modules over commutative rings has always proceeded by a …

F. SEVERI, in his work on the classification of algebraic curves in projective 3-space [33],
proposed a postulate, that every singular curve could be regarded as a limiting case of a …

We shall in the following work deal with the problem of constructing (global, flat)
deformations of determinantal subschemes of affine spaces. Our main contribution is the …

The paper investigates the deformations of a determinantal scheme arising from a
deformation of the defining matrix. A sufficient condition is given for the parameter space of …

In [8, 91, Schlessinger introduced an algebraic theory of infinitesimal deformations and gave
a general proof of Grauert-Kerner's characteristic zero result that the isolated singularity of …

An algebraic singularity is rigid if it has no nontrivial deformations. Rigid singularities
abound in dimensions two and higher [12]. Classically, it was thought that every curve …

DEFINITION.-Un ideal I d'un anneau commutatif A est dit determinantiel s' il existe des
entiers r, n et m et une matrice M de dimensions (nm) a coefficients dans A tels que l'ideal I …

If y is an algebraic (or analytic) family of (germs of) isolated plane curve singularities with"
constant τ"(ie the dimension r (Xy) of the base of the miniversal deformation of Xy is …