Abstract Weierstrass semigroups are well known along the literature. We present a new family of non-Weierstrass which can be written as an intersection semigroups. In addition, we provide methods for computing with genus large desired.

Let A be any nonrecursive set. For each k 0, we show that there are functions (k + 1)-truth-table reducible to A that are not k-weak-truth-table reducible to A; and we show that there are functions (k + 1)-Turing reducible to A that are not k-Turing reducible to A. Intuitively, this means that k + 1 queries to a nonrecursive oracle are strictly more useful than k queries to the same oracle (for...

In contrast with Mobility Factor (MF) and Risk Assessment Code (RAC) indices, IR attributes a risk share to metal species bound to reducible and oxidizable phases which are totally neglected in both of the two above-mentioned indices. In other words, besides the absolutely mobile fractions, the potentially mobile ones are also regarded in risk evaluation process elaborated by IR. The different ...

We define " star reducible " Coxeter groups to be those Coxeter groups for which every fully commutative element (in the sense of Stembridge) is equivalent to a product of commuting generators by a sequence of length-decreasing star operations (in the sense of Lusztig). We show that the Kazhdan–Lusztig bases of these groups have a nice projection property to the Temperley–Lieb type quotient, an...

We give examples of reducible characteristic cycles for irreducible HarishChandra modules for U(p, q) by analyzing a four-dimensional singular subvariety of C. We relate this singularity to the Kashiwara-Saito singularity arising for Schubert varieties for GL(8,C) with reducible characteristic cycles, as well as recent related examples of Williamson. In particular, this gives another explanatio...