Hypersurface variations are maximal. II

Maximal multihomogeneity of algebraic hypersurface singularities

From the degree zero part of the logarithmic vector fields along an algebraic hypersurface singularity we identify the maximal multihomogeneity of a defining equation in form of a maximal algebraic torus in the embedded automorphism group. We show that all such maximal tori are conjugate and in one–to–one correspondence to maximal tori in the linear jet of the embedded automorphism group. These...

Maximal Cohen-macaulay Modules over Hypersurface Rings

This paper is a brief survey on various methods to classify maximal Cohen-Macaulay modules over hypersurface rings. The survey focuses on the contributions in this topic of Dorin Popescu together with his collaborators.

Explicit Uniform Estimation of Rational Points Ii. Hypersurface Coverings

Priority and Maximal Progress are

During the last decade, CCS has been extended in diier-ent directions, among them priority and real time. One of the most satisfactory results for CCS is Milner's complete proof system for observational congruence 28]. Observational congruence is fair in the sense that it is possible to escape divergence, reeected by an axiom recX:(:X + P) = recX:::P. In this paper we discuss observational cong...

Are acquired variations inherited?

Are acquired characteristics inherited? We admit that individuals inherit a certain constitution, and that definite variations from this constitution are acquired during life-time, according to well-known laws. The question is: Are these definite acquired variations in any degree transmitted, or are the congenital variations in the constitution of the offspring independent of those which have b...