A. Grothendieck first coined the term “anabelian geometry” in a letter to G. Faltings [Gro97a] as a response to Faltings’ proof of the Mordell conjecture and in his celebrated Esquisse d’un Programme [Gro97b]. The “yoga” of Grothendieck’s anabelian geometry is that if the étale fundamental group πét 1 pX,xq of a variety X at a geometric point x is rich enough, then it should encode much of the ...

z on the classical Hardy space H. Though there are many aspects of this operator worthy of study [20], we will focus on the description of its invariant subspaces by which we mean the closed linear manifolds E ⊂ H for which BE ⊂ E . When 1 < p < ∞, a seminal paper of Douglas, Shapiro, and Shields [8] describes these invariant subspaces by using the important concept of a pseudocontinuation deve...

The p-adic Simpson correspondence due to Faltings (Adv Math 198(2):847–862, 2005) is a analogue of non-abelian Hodge theory. following the main result this article: for line bundles can be enhanced rigid analytic morphism moduli spaces under certain smallness conditions. In complex setting, shows that there from space vector with integrable connection representations finitely generated group as...

A novel abstraction of the available bandwidth in a communication network is presented based on the blocking island abstraction (Frei & Faltings 1997). Path computing algorithms using this abstraction are presented for non-hierarchical and hierarchical networks. For the latter case, a composeable abstraction of subnetworks is proposed.

In this article we prove that for a basic classical Lie superalgebra the annihilator of a strongly typical Verma module is a centrally generated ideal. For a basic classical Lie superalgebra of type I we prove that the localization of the enveloping algebra by a certain central element is free over its centre.

In this work we approach three-dimensional evolution algebras from certain constructions performed on two-dimensional algebras. More precisely, provide four different producing Also introduce two parameters, the annihilator stabilizing index and socle index, which are useful tools in classification theory of these Finally, use moduli sets as a convenient way to describe isomorphism classes

This paper deals with some results concerning the notion of extended ideal based zero divisor graph $overline Gamma_I(R)$ for an ideal $I$ of a commutative ring $R$ and characterize its bipartite graph. Also, we study the properties of an annihilator of $overline Gamma_I(R)$.

We make an observation which enables one to deduce the existence of an algebraic stack of log maps for all Deligne–Faltings log structures (in particular simple normal crossings divisor) from the simplest case with characteristic generated by N (essentially the smooth divisor case).

We introduce the concept of edgewise domination in clutters, and use it to provide an upper bound for the projective dimension of any squarefree monomial ideal. We then compare this bound to a bound given by Faltings. Finally, we study a family of clutters associated to graphs and compute domination parameters for certain classes of these clutters.