Latest Articles for Geometry

A new method for breaking down algebraic sets into equidimensional parts using Gröbner bases.

Explore the complexities of infinite type surfaces and their mapping class groups.

Explore the key aspects of the 4-point theorem in geometry.

A look at how graphs aid in studying complex mathematical systems.

Research reveals connections between quantum theory and mathematical structures.

Cyclic subgroup graphs reveal important relationships between cyclic subgroups in mathematics.

A look into Holder curves and their unique properties related to tangents.

Investigating the role of heterotic moduli in theoretical physics and geometry.

An overview of root systems and their role in mathematics and beyond.

A deep dive into vortex maps and measuring complex areas accurately.

A study on the area calculation of surfaces formed by vortex maps.

A fresh look at knot and link properties through determinants and Fourier-Hadamard transforms.

A systematic approach to calculating integrals on complex curved surfaces.

Examining cobordism groups and properties of Lagrangian immersions in symplectic manifolds.

New methods improve understanding of hypercube domination numbers across dimensions.

A look into g-convex functions and their applications in optimization and geometry.

A study of trees and their measures in Outer Space reveals complex mathematical relationships.

A look into how rational numbers approximate irrational ones and their implications.

Learn how multisections simplify the study of complex shapes in higher dimensions.

A look into flexible mathematics and its impact on geometry.

Explore the links between zonotopes, graphs, and their properties.

Learn how to dissect lattice polygons into triangles with an area of one.

This article examines the unique properties of locally linear graphs and their relationships.

An exploration of Liouville manifolds and their role in symplectic geometry.

This work discusses methods for selecting points from semialgebraic sets using approximation.

A look at the properties and applications of generalized numerical semigroups.

Exploring the role of Hilbert coefficients and ideal behavior in algebra.

Explore the role of Kummer surfaces in mathematics and secure communications.

Explore the connections between operators, functions, and number theory.

A look at the generalized Jang equation and its role in gravity studies.

Exploring the relationship between angles, distances, and energy in projective spaces.

Explore the fundamental concepts of Lie groups and algebras in mathematics and physics.

Examining how high-dimensional spaces affect light blockage and data behavior.

A look into braid groups, the Goldberg homomorphism, and their relationships.

Explore how geometry-preserving reductions connect computational problems while maintaining solution shapes.

Explore the structures of perfectoid towers and prisms in mathematics.

Discovering the behavior of geodesics on complex surfaces with holes.

A study reveals challenges AI faces in interpreting shapes through TurtleBench.

Exploring the role of cohesive modules in complex manifolds and coherent sheaves.

This article examines the triviality of stunted projective spaces in topology.