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We construct coarse moduli spaces of semiquasihomogeneous hypersurface singularities with respect to right equivalence and contact equivalence. We have to fix the principal part of the semiquasihomogeneous singularities. For the moduli…

alg-geom · Mathematics 2008-02-03 G. -M. Greuel , C. Hertling , G. Pfister

For a complete and cocomplete category $\mathcal{C}$ with a well-behaved class of `projectives' $\bar{\mathcal{P}}$, we construct a model structure on the category $s\mathcal{C}$ of simplicial objects in $\mathcal{C}$ where the weak…

Category Theory · Mathematics 2018-03-07 Ged Corob Cook

We develop techniques for constructing model structures on chain complexes valued in accessible exact categories, and apply this to show that for a closed symmetric monoidal, locally presentable exact category $\mathpzc{E}$ with exact…

Category Theory · Mathematics 2024-01-15 Jack Kelly

We introduce cosurfaces with values in the group \(\PC_n(H)\) of \(H\)-valued reciprocal pairwise comparison matrices. The composition law is covariant on upper triangular coefficients and contravariant on lower triangular coefficients,…

General Physics · Physics 2026-05-06 Jean-Pierre Magnot

The paper contains a collection of results related to weight structures, $t$-structures, and (more generally) to torsion pairs. For any weight structure $w$ we study (co)homological pure functors; these "ignore all weights except weight…

K-Theory and Homology · Mathematics 2019-10-15 Mikhail V. Bondarko

In a recent publication (D. Govc, W. Marzantowicz, P. Pavesic, Estimates of covering type and the number of vertices of minimal triangulations, Discr. Comp. Geom. 63 (2019), 31-48) we have introduced a new method, based on the…

Algebraic Topology · Mathematics 2022-03-25 Dejan Govc , Waclaw Marzantowicz , Petar Pavesic

This talk presents work concepts and results for the determination of the fine structure constant $\alpha$ at the $Z_0$ mass resonance. The problem consisting of the break-down of global duality for singular integral weights is circumvented…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Groote

We describe a construction that to each algebraically specified notion of higher-dimensional category associates a notion of homomorphism which preserves the categorical structure only up to weakly invertible higher cells. The construction…

Category Theory · Mathematics 2011-10-17 Richard Garner

The universal-algebraic approach has proved a powerful tool in the study of the complexity of CSPs. This approach has previously been applied to the study of CSPs with finite or (infinite) omega-categorical templates, and relies on two…

Logic in Computer Science · Computer Science 2015-07-01 Barnaby Martin , Manuel Bodirsky , Martin Hils

In this paper, we continue the study of linear sets with complementary weights. We find criteria to determine the set of points of any fixed weight and use this to present particular linear sets with few points of weight more than one. We…

Combinatorics · Mathematics 2025-11-26 Geertrui Van de Voorde , Ferdinando Zullo

In this note, we construct a closed model structure on the category of $\mathbb{Z}/2\mathbb{Z}$-graded complexes of projective systems of ind-Banach spaces. When the base field is the fraction field $F$ of a complete discrete valuation ring…

K-Theory and Homology · Mathematics 2024-03-29 Devarshi Mukherjee , Guillermo Cortiñas

Let $R$ be a left-symmetric conformal algebra and $Q$ be a $\mathbb{C}[\partial]$-module. We introduce the notion of a unified product for left-symmetric conformal algebras and apply it to construct an object $\mathcal{H}^2_R(Q,R)$ to…

Rings and Algebras · Mathematics 2023-04-12 Zhongyin Xu , Yanyong Hong

Structural approximations to positive, but not completely positive maps are approximate physical realizations of these non-physical maps. They find applications in the design of direct entanglement detection methods. We show that many of…

Quantum Physics · Physics 2009-11-13 J. K. Korbicz , M. L. Almeida , J. Bae , M. Lewenstein , A. Acin

In this paper, we give a study of the $\mathbb{C}[\partial]$-split extending structures problem for associative conformal algebras. Using the unified product as a tool, which includes interesting products such as bicrossed product, cocycle…

Rings and Algebras · Mathematics 2018-01-03 Yanyong Hong

We show that C if is a proper model category, then the pro-category pro-C has a strict model structure in which the weak equivalences are the levelwise weak equivalences. The strict model structure is the starting point for many homotopy…

Algebraic Topology · Mathematics 2007-05-23 Daniel C. Isaksen

For Hardy spaces and weighted Bergman spaces on the open unit ball in ${\mathbb C}^n$, we determine exactly when $A^p_\alpha\subset H^q$ or $H^p\subset A^q_\alpha$, where $0<q<\infty$, $0<p<\infty$, and $-\infty<\alpha<\infty$. For each…

Complex Variables · Mathematics 2025-02-13 Guanlong Bao , Pan Ma , Fugang Yan , Kehe Zhu

D. G. Higman generalized a coherent configuration and defined a weight. In this article, we will modify the definition and investigate weights on coherent configurations. If our weights are on a thin homogeneous coherent configuration, that…

Combinatorics · Mathematics 2025-12-16 Akihide Hanaki

On objects of a triangulated category with a stability condition, we construct a topology.

Algebraic Geometry · Mathematics 2007-05-23 So Okada

In this article, we treat stability conditions in the sense of King, Bridgeland and Bayer in a single framework. Following King, we begin with weight functions on a triangulated category, and consider increasingly specialised configurations…

Algebraic Geometry · Mathematics 2021-03-18 Jason Lo

We study $\alpha$-cluster structure based on the geometric configurations with a microscopic framework, which takes full account of the Pauli principle, and which also employs an effective inter-nucleon force including finite-range…

Nuclear Theory · Physics 2018-01-17 Akihiro Tohsaki , Naoyuki Itagaki