Latest Articles for Geometry

This article explores the relationship between coarse and boundedly supported cohomology.

Exploring queen placements on a chessboard to avoid three in a row.

A look into hyperbolic surfaces and their applications in mathematics and physics.

Lie algebras are essential in understanding symmetry and transformations in various fields.

This article explores the properties of knots and their complements in circle bundles over surfaces.

Examining how random fractal shapes connect through probability.

A look into the Poincaré inequality and its connection to geometric properties.

A look into the properties and applications of generalized symmetric edge polytopes.

Exploring the properties and applications of biharmonic and biconservative submanifolds in mathematics.

An overview of Heegner points, classes, and their relevance in modern mathematics.

Explore the structure and study of manifolds and foliations in mathematics.

This study examines the number of rational points on algebraic curves based on height.

This article explores the Grassmannian's representations and their applications in various fields.

An exploration of metric measure spaces and their significance in mathematics.

Exploring the unique properties and applications of helicoidal surfaces in geometry.

A study on fixed points and their significance in noncompact mathematical spaces.

A deep dive into terminal -Fano threefolds and their significant properties.

An overview of rational and lacunary curves and their intersection properties.

A look into integral points and the weak Hilbert property in varieties.

Explore the unique properties and applications of elliptic surfaces in mathematics.

This article explores the Heron variety and its significance in geometry and algebra.

This paper connects the Thurston spine to systoles and Morse-Smale complexes.

This article examines point arrangements with integer distances across various geometrical structures.

Explore the structure and properties of Teichmuller space.

A look into representations, characters, and their connections in Lie algebras.

Learn about coisotropic submanifolds and their significance in contact geometry.

A look into discrete surfaces and their roles in geometry, art, and design.

This article presents a novel way to study geodesic disks and their intersections.

A look at the significance of the Positive Mass Theorem in geometry and physics.

Gatzouras-Lalley carpets reveal complex patterns and dimensions in fractal geometry.

This article examines nilpotent elements and their significance in algebraic groups.

A look into matroids, their properties, and intersection theory applications.

Investigating zero-dimensional compact spaces that can be reshaped into squares.

Examining the rigid properties of Lorentzian length spaces and their implications.

A look at how paths and trees interact in topology.

A look into Artin-Schreier curves and their significance in mathematics.

A study on intersection points of lines in del Pezzo surfaces of degree 1.

A look at the Brauer group and its relationship with rational varieties and group actions.

Essential dimension measures the complexity of algebraic objects through parameters.

This article explores the significance of Carrot John domains in mathematical problems.