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Planar Spaces with Projective Connections
A projective space in which a linear group acts ineffectively allows one to construct the corresponding space with a Cartan projective connection. We...
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Notes on Super Projective Modules
Projective modules are a link between geometry and algebra as established by the theorem of Serre-Swan. In this paper, we define the super analog of...
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Projective Groups and Frattini Covers
In this chapter we define a projective group as a profinite group 𝐺 for which every embedding problem is weakly solvable. By Gruenberg’s theorem...
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Nonnil-FP-injective and nonnil-FP-projective dimensions and nonnil-semihereditary rings
In this paper, we introduce the concept of nonnil-FP-injective dimension for both modules and rings. We explore the characterization of strongly
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Kempe Equivalence Classes of Cubic Graphs Embedded on the Projective Plane
A Kempe switch of a 3-edge-coloring of a cubic graph G on a bicolored cycle C swaps the colors on C and gives rise to a new 3-edge-coloring of G . Two...
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Gaps in the Support of Canonical Currents on Projective K3 Surfaces
We construct examples of canonical closed positive currents on projective K3 surfaces that are not fully supported on the complex points. The...
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Projective-Geometric Aspects of Quantization
AbstractIn this note, we propose a ‘‘projective-geometric’’ version of quantization, based on the surjective rational self-maps of
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The Holonomy of Spherically Symmetric Projective Finsler Metrics of Constant Curvature
In this paper, we investigate the holonomy group of n -dimensional projective Finsler metrics of constant curvature. We establish that in the...
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The Short Local Algebras of Dimension 6 with Non-projective Reflexive Modules
Let A be a finite-dimensional local algebra over an algebraically closed field, let J be the radical of A . The modules we are interested in are the...
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Sheaves of low rank in three-dimensional projective space
We classify Chern characters of semistable sheaves up to rank four in three-dimensional projective space. As a corollary we show that moduli spaces...
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A Spin Analog of the Plethystic Murnaghan–Nakayama Rule
As a spin analog of the plethystic Murnaghan–Nakayama rule for Schur functions, the plethystic Murnaghan–Nakayama rule for Schur Q -functions is...
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Interpretation of Geometry on Manifolds as a Geometry in a Space with Projective Metric
In this paper, we give essential concepts of geometry of three-dimensional spaces in vector formulation in an affine vector space A n .
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Gluing equations for real projective structures on 3-manifolds
Given an orientable ideally triangulated 3-manifold M , we define a system of real valued equations and inequalities whose solutions can be used to...
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Characteristic classes and stability conditions for projective Kleinian orbisurfaces
We construct Bridgeland stability conditions on the derived category of smooth quasi-projective Deligne–Mumford surfaces whose coarse moduli spaces...
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Strong-Norm Convergence of the Errors of the Projective-Difference Method with the Crank–Nicolson Scheme in Time for a Parabolic Equation with a Periodic Condition on the Solution
AbstractIn a separable Hilbert space, a smoothly solvable linear variational parabolic equation with a periodic condition on the solution is solved...
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Geometrization of a Sheaf of First-Type Connections Generated by a Compositional Equipment on a Distribution of Planes
In this paper, we continue the study of distributions of planes in the multidimensional projective space with an associated principal bundle. We...
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Admissible Complexes for the Projective X-ray Transform over a Finite Field
We consider the X-ray transform in a projective space over a finite field. It is well known (after Bolker) that this transform is injective. We...
