Abstract We define the notion of a specialization morphism from locally noetherian analytic adic space to scheme. This captures (classical) associated with formal There is well-behaved theory compactifications and it turns out that classical proper in this setup. As an application, we show nearby cycles functor commutes lower shriek great generality.

In this article the notions of semi weak orthogonality and semi weak factorization structure in a category $mathcal X$ are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structur...

We show there is a unique maximal positive variety of languages which does not contain the language (ab)∗. This variety is the unique maximal positive variety satisfying the two following conditions: it is strictly included in the class of rational languages and is closed under the shuffle operation. It is also the largest proper positive variety closed under length preserving morphisms. The or...

LetX be a complex analytic manifold, D ⊂ X a Koszul free divisor with jacobian ideal of linear type (e.g. a locally quasi-homogeneous free divisor), j : U = X −D →֒ X the corresponding open inclusion, E an integrable logarithmic connection with respect to D and L the local system of the horizontal sections of E on U . In this paper we prove that the canonical morphisms ΩX(logD)(E(kD)) −→ Rj∗L, j...

The concept of a coset-preserving skew-morphism is a generalization of the widely studied t-balanced skew-morphisms of regular Cayley maps which are in turn generalizations of group automorphisms. In case of abelian groups, all skew-morphisms of regular Cayley maps are roots of coset-preserving skew-morphisms, and therefore, classification of cosetpreserving skew-morphisms of finite abelian gro...

background: acute myeloid leukemia, as most cancers, results from exposure to carcinogens and an impaired inherited individual capacity to eliminate xenobiotics. the present case-control study measures the relationship between glutathione s-transferase (gst) t1 and m1 null genotypes and the risk of acute myeloid leukemia. methods: we identified the gstt1 andgstm1 genotypes by multiplex polymera...

We give an $\mathrm{SL}\_3$ analogue of the triangular decomposition Kauffman bracket stated skein algebras described by Lê. To any punctured bordered surface, we associate algebra which contains closed webs. These admit natural morphisms associated to splitting surfaces along ideal arcs. explicit basis for and show that are injective describe their images. By a surface edges triangulation, see...