Latest Articles for Geometry

A look into smooth complex varieties, cohomology, and their mathematical implications.

An overview of metric surfaces and the concept of removable sets in geometry.

A look into the relationships of geometric shapes and their properties.

A look into the study of complex three-dimensional shapes.

Quivers offer deep insights into algebraic structures and relationships.

Exploring the complexities of indefinite Einstein metrics within solvmanifolds.

A look into the concepts of hyperbolic string field theory and its implications.

Discover the surprising links between mathematics, geometry, and physics.

A look into the complex patterns within Maass forms and their mathematical significance.

Exploring the application of Grunbaum's inequality in complex geometric environments.

An overview of topological spaces, focusing on well-filtered spaces and sobriety.

A look at the GAGA theorem connecting two fields of mathematics.

A look into elliptic curves, isogenies, and their connections in mathematics.

Exploring elliptic curves and their ranks in relation to primes.

Explore the relationship between Sobolev functions and their extension properties.

This article explains universal covering maps and their boundary behaviors in mathematics.

An overview of Mather's contributions to dynamical systems and their applications.

A look into incidences between points and lines in geometry and their implications.

Exploring the behavior of harmonic oscillators in curved geometric spaces.

Learn how sampling methods help reveal polygon properties.

This study examines discrete Sobolev metrics and their relation to shape analysis.

A look into how curvature is calculated in discrete gravity and its applications.

Explore the links between shapes, transformations, and algebraic structures in mathematics.

Exploring the relationships between groups and manifolds through the Nielsen realization problem.

Explore the link between cabled knots and their classification.

A look at the connections between algebraic structures and geometric objects.

A look into simplicial arrangements and their unique properties.

A look into the dynamics of differential equations and equilibrium points.

A look into methods for counting positive solutions in polynomial equations.

A look into intersection graphs and their significance in various fields.

This theory connects particle dynamics and geometry, providing insights into quantum field theories.

Exploring free circle actions and their implications on connected manifolds.

A look at BP decompositions and their significance in mathematics.

An overview of manifold classification and relationships in topology.

A look at unique crease patterns formed by folding paper.

Discover Finsler geometry's impact on measuring distances and paths in complex spaces.

Exploring how surfaces can cover one another and their unique properties.

Exploring the extendability of projective varieties and their degeneration into ribbons.

A look at Witt vectors, their properties, and connections to derived structures.

Discover the unique properties of weakly systolic complexes in geometry and topology.