Latest Articles for Geometry

Explore the unique shapes and decomposition methods in hyperbolic geometry.

Sobolev inequalities connect function behavior and derivatives across various fields.

An overview of the KZ equation and related mathematical structures.

A look into very weak solutions for complex partial differential equations.

This article explores operators on warped product manifolds and their stability properties.

Research expands the application of hierarchical hyperbolicity in diverse mathematical structures.

Exploring the relationship between points and polynomials in Demailly's conjecture.

An overview of polytopes, their properties, and applications in various fields.

Examining relationships between geometric shapes and algebraic solutions in mathematics.

A look at how graded ideals relate in algebraic structures.

A look into bi-Lagrangian Grassmannians and their significance in geometry and physics.

Discover the unique arrangements in squiral tiling and their implications.

Researchers connect particle interactions to geometry, revealing new insights into phase transitions.

Discover how -contact geometry enriches the study of complex systems.

Two knots defy predictions, prompting new questions in knot theory.

This article investigates how Hilbert schemes enhance the study of Seshadri constants.

A study of point connections and unique weights in geometric trees.

HypersurfaceRegions.jl helps researchers analyze complex mathematical structures.

Explore the unique structures and operations of lattice knots in geometry and algebra.

A study of point movement and reflections within a regular pentagon.

Discover how minimal surfaces impact geometry, physics, and engineering.

A look into Kähler manifolds and their significance in mathematics.

A look into the complexities of counting rational curves and their singular points.

A look into the complexities of heterotic string theory and its implications.

Research on how 3-manifolds can fit into 4-dimensional spaces.

A look into Lagrangians and their role in symplectic geometry through surgeries.

A look into varieties, stratifications, and monomial theories explained simply.

Exploring the properties and significance of Artin and braid groups in mathematics.

Explore the unique properties and implications of negatively curved manifolds.

Introducing Hyperbolic Vision Transformers for advanced image classification and analysis.

Examining the relationship between mathematical proofs and geometric spaces.

Exploring the intricate features of Enriques varieties in geometry.

Exploring the unique properties of infinitesimal commutative unipotent group schemes.

Explore the relationships between graph theory and geometric figures.

Examining the impact of Dehn twists on four-dimensional structures.

An overview of commutative algebras and their applications in advanced mathematical contexts.

Exploring Prym curves and their role in algebraic geometry and moduli spaces.

Research uncovers new higher-dimensional examples in lattice theory.

A look into polynomial equations and their various types of solutions.

Learn how surfaces change while keeping their area constant.