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In this paper, we prove a version of Freyd's generating hypothesis for triangulated categories: if D is a cocomplete triangulated category and S is an object in D whose endomorphism ring is graded commutative and concentrated in degree…

Algebraic Topology · Mathematics 2007-05-23 Keir H. Lockridge

We prove that any noetherian quasi-excellent scheme of characteristic zero admits a strong desingularization which is functorial with respect to all regular morphisms. We show that as an easy formal consequence of this result one obtains…

Algebraic Geometry · Mathematics 2019-12-19 Michael Temkin

Let D be a division ring finite dimensional over its center F. The goal of this paper is to prove that for any positive integer n there exists a in D^(n); the n-th multiplicative derived subgroup, such that F(a) is a maximal subfield of D.…

Rings and Algebras · Mathematics 2019-05-20 Mehdi Aaghabali , Mai Hoang Bien

The spectral test of random number generators (R.R. Coveyou and R.D. McPherson, 1967) is generalized. The sequence of random numbers is analyzed explicitly, not just via their n-tupel distributions. We find that the mixed multiplicative…

Computational Physics · Physics 2008-02-03 Oliver Schnetz

We consider a four dimensional Riemannian manifold M with a metric g and affinor structure q. The local coordinates of these tensors are circulant matrices. Their first orders are (A, B, C, B), A, B, C\in FM and (0, 1, 0, 0), respectively.…

Differential Geometry · Mathematics 2014-03-25 Iva Dokuzova

Aulbach et al. (2012) introduced the concept of D-norms in the framework of functional extreme value theory (EVT) extending the multivariate case in a natural manner. In particular, the distribution of a standard max-stable process (MSP)…

Probability · Mathematics 2012-07-04 Stefan Aulbach

The main result of this thesis is to show that there are only finitely many integers $n$ such that both $n$ and $d(n)$ are highly composite numbers at the same time, where $d(n)$ is the divisor function. Bertrand's postulate [4] is used…

Number Theory · Mathematics 2023-05-25 Lars Magnus Øverlier

If $X$ is the attractor set of a conformal IFS in dimension two or three, we prove that there exists a quasiregular semigroup $G$ with Julia set equal to $X$. We also show that in dimension two, with a further assumption similar to the open…

Complex Variables · Mathematics 2025-07-10 A. Fletcher

We prove a Miyadera-Voigt type perturbation theorem for strong Feller semigroups. Using this result, we prove well-posedness of the semilinear stochastic equation dX(t) = [AX(t) + F(X(t))]dt + GdW_H(t) on a separable Banach space E,…

Probability · Mathematics 2014-04-09 Markus C. Kunze

In this paper, we plan to build upon significant results by Amnon Neeman regarding the homotopy category of flat modules to study ${\mathbb{K}}({S\rm{SF}}\mbox{-}R)$, the homotopy category of $S$-strongly flat modules, where $S$ is a…

Commutative Algebra · Mathematics 2025-04-04 Javad Asadollahi , Somayeh Sadeghi

This work studies conditions under which integral transforms induce exact functors on singularity categories between schemes that are proper over a Noetherian base scheme. A complete characterization for this behavior is provided, which…

Algebraic Geometry · Mathematics 2025-09-16 Uttaran Dutta , Pat Lank , Kabeer Manali Rahul

The R-module functors that are essential for the development of the theory of the linear representations of an affine R-group are the quasi-coherent R-modules and the R-module schemes. The aim of this paper is to study when a quasi-coherent…

Commutative Algebra · Mathematics 2011-11-10 Amelia Álvarez Sánchez , Carlos Sancho de Salas , Pedro Sancho de Salas

It is argued that constituent quarks live in an effective theory that possesses an approximate conformal invariance. An effective lagrangian is constructed which in the large-$\nc$ approximation incorporates Regge asymptotic constraints.…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. R. Beane , U. van Kolck

We consider two examples of dynamical semigroups obtained by singular perturbations of a standard generator which are special case of unbounded completely positive perturbations studied in detail in [10]. In the section 2 we propose a…

Mathematical Physics · Physics 2018-01-29 A. S. Holevo

Let N be a normal subgroup of a finite group G. We prove that under certain (unavoidable) conditions the subgroup [N,G] is a product of commutators [N,y] (with prescribed values of y from a given set Y) of length bounded by a function of…

Group Theory · Mathematics 2021-03-31 Nikolay Nikolov , Dan Segal

The main result of this paper is that determinantal point processes on the real line corresponding to projection operators with integrable kernels are quasi-invariant, in the continuous case, under the group of diffeomorphisms with compact…

Probability · Mathematics 2016-12-01 Alexander I. Bufetov

This work concerns generators for the bounded derived category of coherent sheaves over a noetherian scheme $X$ of prime characteristic. The main result is that when the Frobenius map on $X$ is finite, for any compact generator $G$ of…

Algebraic Geometry · Mathematics 2026-01-28 Matthew R. Ballard , Srikanth B. Iyengar , Pat Lank , Alapan Mukhopadhyay , Josh Pollitz

For an effective Cartier divisor D on a scheme X we may form an nth root stack. Its derived category is known to have a semiorthogonal decomposition with components given by D and X. We show that this decomposition is 2n-periodic. For n=2…

Algebraic Geometry · Mathematics 2024-06-04 Agnieszka Bodzenta , Will Donovan

We study the covariance properties of the equations satisfied by the generating functions of the chiral operators R and T of supersymmetric SO(N)/Sp(N) theories with symmetric/antisymmetric tensors. It turns out that T is an affine…

High Energy Physics - Theory · Physics 2009-11-10 Marco Matone

This paper is concerned with certain generalizations of meagreness and their combinatorial equivalents. The simplest example, and the one which motivated further study in this area, comes about by considering the following definition: a set…

Logic · Mathematics 2016-09-07 Saharon Shelah