Let X be an arbitrary nonsingular projective 3-fold whose canonical bundle is not numerically effective. Then we have: (i) X contains an exceptional divisor of several types, which we classify explicitly, (ii) X has a morphism to a projective nonsingular surface whose fibers are conics, (iii) X has a morphism to a projective nonsingular curve whose general fibers are Del Pezzo surfaces, or (iv)...

In [3], Berstel proved that the Arshon sequence cannot be obtained by iteration of a morphism. An alternative proof of this fact is given here. The σ-sequence was constructed by Evdokimov in order to construct chains of maximal length in the n-dimensional unit cube. It turns out that the σ-sequence has a close connection to the Dragon curve [8]. We prove that the σ-sequence can not be defined b...

A morphism g is ambiguous with respect to a word u if there exists second h≠g such that g(u)=h(u). Otherwise unambiguous u. Thus morphisms are those for which the structure of preserved in image. Ambiguity has so far been studied free monoids, where several characterisations exist set words permitting an (injective) morphism. In present paper, we consider ambiguity groups, and possible analogie...

A point process on a space is random bag of elements that space. In this paper we explore programming with processes in monadic style. To end identify X probability measures bags X. We describe view using the composition Giry and monads category measurable spaces functions prove also forms monad distributive law for monads. Finally, define morphism from to its intensity measure, show morphism. ...

Abstract For a local complete intersection morphism, we establish fibrewise denseness in the n -dimensional irreducible components of compactification Nisnevich locally.

in this paper, applying the concept of generalized a-valued norm on a right h  - module and also the notion of ϕ-homomorphism of finsler modules over c  -algebras we rst improve the denition of the finsler module over h  -algebra and then dene ϕ-morphism of finsler modules over h  -algebras. finally we present some results concerning these new ones.