Latest Articles for Geometry

An overview of sheaves and their importance in algebraic geometry.

This article investigates angle structures and their significance in hyperbolic manifolds.

Discover the unique properties and intersections of Lagrangian submanifolds.

Exploring the significance of generalized Cartan geometry in modern physics.

Discover the connections of modular forms with other areas of mathematics.

A look into Somos-5 sequences and their properties with dual numbers.

A novel algorithm improves calculations for theta functions in Schottky groups.

This article discusses the significance of link invariants, focusing on the Bénard-Conway invariant.

Exploring the dynamics of Hamiltonian systems through geometry and stability.

Exploring the relationship between heptagons and quartic curves in geometry.

Exploring the significance of positive solutions in polynomial equations and their applications.

Explore pseudospherical surfaces, their equations, solutions, and significant mathematical properties.

A look into the stability of mathematical structures like Lie algebras and groups.

Chevalley groups connect algebra and geometry through Lie algebras.

Exploring the properties of shapes in constrained spaces.

A look into the relationship between curves and their secant varieties.

Exploring the impact of boundary conditions on Dirac operators in Lorentzian geometry.

A look into the rigidity of Einstein metrics and their deformations.

An overview of structures and classifications within SU(2)-abelian graph manifolds.

Exploring the significance of hyperkähler manifolds in mathematics and their applications in physics.

HyperSteiner presents a more efficient method for calculating Steiner Minimal Trees.

Researchers investigate random triangulations to minimize costs and connect points on spheres.

Exploring Rozansky-Witten models and their significance in mathematics and physics.

A new way to explore hyperbolic geometry through physical movement in a virtual world.

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.