Latest Articles for Geometry

Exploring the relationship between chambers and independent sets in geometry using Kneser graphs.

An overview of Cartan geometry and its role in various mathematical fields.

Study reveals conditions for singularities in spacetime through weakly trapped submanifolds.

Analyzing V-static metrics sheds light on complex mathematical spaces.

This article examines the relationship between symplectic homology and Besse manifolds.

An exploration of cohomological splitting in symplectic geometry and its implications.

Explore the Uniform Izumi-Rees Property and its impact on ideals in Noetherian rings.

This article examines chambers, vector spaces, and the Erdős-Ko-Rado problem in combinatorics.

An overview of meromorphic mappings and their role in complex analysis.

Explore the fascinating world of toric varieties and their unique properties.

Explore the impact of isoperimetric inequalities on geometry and probability.

A look into the relationship between perimeter and area in geometry.

Exploring the connections between volume forms, balanced manifolds, and the Calabi-Yau equation.

This article examines the heating phase in periodically driven quantum field theories.

A look into self-dual points and their significance in geometry and algebra.

A look into the behaviors of dimers on unique hyperbolic structures.

An overview of quantum cluster algebras and their applications in various fields.

Exploring elliptic curves and their significant role in mathematics.

Explore A-infinity algebras and their applications in math and physics.

An overview of -finite algebras, cotorsion pairs, and thick subcategories in mathematics.

An overview of hyperpolygon spaces and their significance in mathematics.

This article examines sprays and their role in covering mathematical spaces.

A look into the structures and properties of quiver Grassmannians.

This article discusses methods to analyze square-triangle-rhombus tilings in higher dimensions.

Exploring the connections between ideals in algebraic geometry.

Discover the connection between flag manifolds and quantum cohomology in mathematics.

An overview of the Apollonian gasket’s structure and significance in mathematics.

An overview of complex structures in mathematics and their significance.

Examining the role of automorphisms in Cartan geometries for deeper insights.

A look at discrete calculus and its applications in understanding complex shapes.

Researchers make strides in understanding supergravity solutions and their implications for theoretical physics.

This article explores the complexities of the bosonic string effective action and its corrections.

Exploring the importance of low regularity metrics in geometry and physics.

Explore the role of symmetric tensor categories in mathematics and their applications.

Neural varifolds improve the analysis of 3D point clouds for various applications.

Exploring methods to determine if one shape can fit into another.

Explore the role of geodesic rays in the study of complex spaces.

A look into how tiles interact and form patterns without gaps.

An overview of translation surfaces and their intriguing properties.

Fano surfaces link geometry, algebra, and number theory in complex yet fascinating ways.