It is shown that every (small) topos is equivalent to the category of global sections of a sheaf of so-called hyperlocal topoi, improving on a result of Lambek & Moerdijk. It follows that every boolean topos is equivalent to the global sections of a sheaf of well-pointed topoi. Completeness theorems for higher-order logic result as corollaries. The main result of this paper is the following. Th...

We construct a well-behaved Weil-étale complex for large class of Z-constructible sheaves on regular irreducible scheme U finite type over Z and dimension 1. then give formula the special value at s=0 L-function associated to any sheaf in terms Euler characteristics cohomology; smooth proper curves, we obtain [GS20]. deduce Artin L-functions integral representations twisted by singular X This g...

In this paper the concept of an $Omega$- Almost Boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $Omega$- Almost Boolean ring over a locally Boolean space.

We introduce a notion of complexity complex ℓ \ell -adic sheaves on quasi-projective variety and prove that the six operation...

In this section we will define the sheaf of relative differential forms of one scheme over another. In the case of a nonsingular variety over C, which is like a complex manifold, the sheaf of differential forms is essentially the same as the dual of the tangent bundle in differential geometry. However, in abstract algebraic geometry, we will define the sheaf of differentials first, by a purely ...

A certain Grothendieck topology assigned to a metric space gives rise sheaf cohomology theory which sees the coarse structure of space. Already constant coefficients produce interesting groups. In degree 0, they see number ends this paper, resolution via cochains is developed. It serves be valuable tool for computing cohomology. addition, homotopy invariance with established. This property can ...

In this paper, we prove that every Pre A∗-algebra A with 1 is isomorphic to the Pre A∗-algebra of all global sections of a sheaf of indecomposable Pre A∗-algebra over Boolean space and that sheaf of indecomposable Pre A∗-algebra with 1 over Boolean space is isomorphic to the sheaf obtained from the Pre A∗-algebra of all sections of the sheaf. Copyright c © 2011 Yang’s Scientific Research Instit...

We construct a sheaf-theoretic analogue of the wrapped Fukaya category in Lagrangian Floer theory, by localizing sheaves microsupported away from some given Λ⊂S⁎M along continuation maps constructed using Guillermou-Kashiwara-Schapira sheaf quantization. When Λ is subanalytic singular isotropic, we also comparison map to compact objects unbounded Λ, and show that it an equivalence. The last sta...

We show that some types for supercuspidal representations of tamely ramified p-adic groups appear in Jiu-Kang Yu’s work are geometrizable. To do so, we define a function-sheaf dictionary one-dimensional characters arbitrary smooth group schemes over finite fields. In previous considered the case commutative and found standard definition character sheaves produced with nontrivial kernel. this pa...

One of the main results this work is freeness in Z?l-cohomology Lubin–Tate tower when l>2. As my 2009 Inventiones paper, strategy global nature and relies on studying various filtration stratification perverse sheaf vanishing cycles some Shimura varieties Kottwitz–Harris–Taylor types. We show that these graded parts, considering only adjunction maps j!j??Id, are given by p-intermediate extensio...