Rapportering ’on Form 20-F’

Se p 20 09 On the f - invariant of products

The f -invariant is a higher version of the e-invariant that takes values in the divided congruences between modular forms; in the situation of a cartesian product of two framed manifolds, the f -invariant can actually be computed from the e-invariants of the factors. The purpose of this note is to determine the f -invariant of all such products.

Se p 20 06 Some remarks on F 1 - schemes

This paper contains a loose collection of remarks on F1-schemes. Etale morphisms and universal coverings are introduced. The relation to toric varieties, at least for integral schemes, is clarified.

ON THE ZECKENDORF FORM OF F^ I Fn

A new trace bilinear form on cyclic $\mathbb{F}_q$-linear $\mathbb{F}_{q^t}$-codes

Let Fq be a finite field of cardinality q, where q is a power of a prime number p, t ≥ 2 an even number satisfying t 6≡ 1 (mod p) and Fqt an extension field of Fq with degree t. First, a new trace bilinear form on F n qt which is called ∆-bilinear form is given, where n is a positive integer coprime to q. Then according to this new trace bilinear form, bases and enumeration of cyclic ∆-self-ort...

Se p 20 07 Formulas of F - thresholds and F - jumping coefficients on toric rings ∗

F-thresholds are defined by Mustaţǎ, Takagi and Watanabe, which are invariants of the pair of ideals on rings of characteristic p > 0. In their paper, it is proved F-thresholds equal to jumping numbers for the test ideal on regular local rings. In this note, we give formulas of F-thresholds and F-jumping coefficients on toric rings. We prove that there exists an inequality between F-jumping coe...