Latest Articles for Geometry

New ideas in derived blow-ups and deformation techniques reshape algebraic and geometric understanding.

Exploring new insights and applications in the isoperimetric problem across various fields.

Exploring connections, curvature, and torsion in geometry's impact on data and physics.

This article discusses key concepts in two-dimensional gravity and its mathematical connections.

Examine the relationships between complex manifolds, meromorphic functions, and their submanifolds.

A look at skew-racks and their role in analyzing 3-manifolds and invariants.

This paper presents methods for smoothing surfaces in four-dimensional topology.

An analysis of lengths of horizontal chords in continuous functions and their properties.

A concise overview of log motives and their importance in algebraic geometry.

Explore the unique properties and challenges of the hyperbolic plane in mathematics.

This article explores the unique properties of déjà vu links in Legendrian links.

Exploring the nature and classification of infinite type surfaces.

Exploring Galois representations and their role in understanding Drinfeld modules.

A look into how simple functions create complex patterns.

Techniques to enhance the organization of polyhedral complexes.

A look into isotropic geometry and its role in design and structure.

Exploring the role of algebraizable formal models in understanding geometric structures.

A look into the limits of edges in various symmetric graph structures.

A look into amoebas, matroids, and their connections in mathematics.

A look into the nature and properties of block-wise simple permutations.

A look into complete arcs and their role in coding theory.

An overview of holomorphic symplectic manifolds and their significance in mathematics.

An exploration of monomial polyhedra and the role of the Bergman kernel.

A look into cubic graphs and their connections through Whitehead moves.

A new technique simplifies area calculations for spherical polygons using edge lengths.

A mathematical method for analyzing complex data shapes and structures.

Exploring chromatic numbers and their limits in plane geometry with forbidden distances.

Dive into the properties and implications of dense forests formed from grids.

Examining how many nearly equal triangles can be formed from a set of points.

A look into cubical graphs and their layered characteristics within graph theory.

Examining how points on a grid form triangles and their stability.

An exploration of projective varieties and their derived categories in mathematics.

This study examines how boundary changes influence eigenvalues for different shapes.

Exploring the connections between toric varieties and algebraic geometry.

Illustrating the importance of compact groups in various mathematical fields.

Examining the relationships and behaviors of positively oriented simple polygons.

A look into conformal integrals and their applications in mathematics and physics.

A look into the isoperimetric problem within the Randers Poincaré disc.

An overview of Sobolev maps and integral currents in geometry and analysis.

A look at the cut locus and its significance in various fields.