Latest Articles for Geometry

Examining the Chern-Ricci flow and its impact on complex shapes and metrics.

A discussion on methods for counting solutions to bihomogeneous equations.

Exploring the significance of inscribed radius and curvature in manifold geometry.

Discover the significance and applications of plactic monoids in mathematics.

This study explores ropelength and characteristics of 12-crossing knots.

Research reveals new families of edge-girth-regular graphs with unique properties.

Exploring the role of bounded reduction in understanding Chevalley groups.

Study of rectangle packing efficiency using random sequential adsorption method.

Planar maps reveal insights into random walks and their connection to quantum gravity.

Explore the strong B-inequality and its significance in mathematics.

A look at the Pythagorean theorem and its real-world applications.

Explore the fascinating world of shield tilings and their unique patterns.

Explore the role and properties of quasimodular forms in mathematics.

A look into the structure and properties of Mori dream spaces.

Mathematicians make progress in understanding the Heilbronn triangle problem and its implications.

Examining how colors influence the appearance of shapes in mathematical spaces.

A clear guide to sheaves and their role in various math fields.

This article explores the study of spin curves and their properties.

A look into the role of infinitesimal neighbourhoods in algebraic geometry.

This article explores challenges and solutions in finding optimal observation paths.

A look at homogeneous forms and their importance in mathematics.

This study examines how minimal models relate through flops within three-dimensional varieties.

An overview of fiberwise Dirac operators and their relationship with eta invariants.

This study uses genetic algorithms to discover new Calabi-Yau manifolds from reflexive polytopes.

Study reveals how surface arrangement affects manifold rigidity.

Pell-Abel equations link polynomial functions across various mathematical fields.

Exploring relationships among morphisms through group structure in algebraic geometry.

An overview of magnetic Dirac operators and their role in quantum mechanics.

A look at how Arakelov divisors connect algebra and geometry.

Exploring the complex relationship between tube domains and their envelopes of holomorphy.

Learn about semialgebraic sets and Nash maps in algebra and geometry.

A look at the role and applications of the longest element in Weyl groups.

Exploring a cellular automaton model on a pentagrid capable of universal computation.

Understanding optimal transport and Ricci flow in geometry and physics.

Exploring the unique characteristics of random twisted hypercubes and their importance in mathematics.

A look at logarithmic cohomology in modern mathematics and its significance.

A look into the role of abelian varieties in modern mathematics.

This article explores Gromov-Witten invariants and their role in string theory.

An exploration of tetrahedron instantons in mathematics and physics.

A look at elliptic curves and their significance in mathematics and cryptography.