We prove that the group of automorphisms any quasi-projective surface S in finite characteristic has p-Jordan property.

The paper is concerned with the algebraic classii-cation problem of linear systems up to static output feedback. Using tools from geometric invariant theory it is shown that there exists a quasi pro-jective variety whose points parameterize the output feedback orbits in a unique way. If the McMil-lan degree n mp then the set of output feedback orbits of nondegenerate transfer functions of size ...

The concept of quasi-threshold multipartite access structures for secret sharing schemes is introduced. These access structures allow one distinguished class of participants to retain control over the reconstruction of the secret, while allowing flexibility over the quorum of participants from other classes. While ideal bipartite access structures have been classified, the case for multipartite...

The spectral sequence predicted by A. Beilinson relating motivic cohomology to algebraic K-theory has been established for smooth quasi-projective varieties over a field (cf. [FS], [L1]). Among other properties verified, this spectral sequence has the expected multiplicative behavior (involving cup product in motivic cohomology and product in algebraic K-theory) and a good multiplicative “mod-n...

A Fano variety is a projective variety whose anticanonical class is ample. A 2–dimensional Fano variety is called a Del Pezzo surface. In higher dimensions, attention originally centered on smooth Fano 3–folds, but singular Fano varieties are also of considerable interest in connection with the minimal model program. The existence of Kähler–Einstein metrics on Fano varieties has also been explo...

Kawamata has shown that the quasi-Albanese map of a quasi-projective variety with log-irregularity equal to dimension and log-Kodaira 0 is birational. In this note, we show under these hypotheses proper in codimension 1 as conjectured by Iitaka.