Latest Articles for Geometry

A concise overview of exceptional sets in mathematical projections and their significance.

This article investigates the properties and behaviors of minimal hypersurfaces in geometry.

A study on Sobolev sheaves and their role in mathematical environments.

An overview of properties and applications of almost Abelian Lie groups in mathematics.

A study on the interplay between curved deformations and derived categories in mathematics.

Exploration of unipotent elements and total positivity within reductive groups.

A look into the fascinating world of knots and their mathematical properties.

Examining the significance of genus-one and elliptic fibrations in string theory.

A look into log motives and their importance in mathematics.

Analyzing the behavior of matrix elements through polynomial relationships during rotations.

Examining how non-symmetrical shapes influence percolation on grids.

Exploring eigenvalues in simplicial complexes reveals new patterns and insights.

A look into the unique smooth structures of four-dimensional shapes.

Explore tetrahedra, their properties, and applications in various fields.

Explore the interesting properties of almost Abelian groups and their implications in mathematics.

A look at the limits of edges in planar graphs without specific subgraphs.

Research reveals complexities in polytopes and sparse groups, challenging previous assumptions.

A detailed look at toric varieties and their relationships through interpolation.

This article discusses flat spheres and the role of conical singularities.

Insights into surfaces with torus actions and the Picard index.

A look into the structure and properties of doodles formed by circles.

Furstenberg sets connect geometry and number theory, revealing deep mathematical insights.

This article examines the addition of hyperplanes and their characteristics in arrangements.

This article presents a fresh perspective on hyperplane arrangements and their stability.

A look at how groups transform spaces and the implications for mathematics.

Examining the relationship between Milnor fiber and Betti numbers in analytic functions.

Exploring algebraic operations related to string topology and loop coproducts.

An overview of simplicial presheaves and their role in various areas of mathematics.

New methods in Hochschild cohomology for gentle algebras provide clearer insights.

Exploring quantum methods to calculate distances between various data subspaces.

This article reviews the relationships between loops and triangles in free factor complexes.

An overview of T-duality and its relation to Courant algebroids in string theory.

Calabi-Yau varieties connect mathematics and physics, revealing new insights.

Exploring relationships and properties of a unique shape in topology.

An overview of key concepts in mathematical surfaces and their functions.

Examining B acklund transformations and their role in discrete geometry and surface study.

This study examines the behavior of unit balls' volumes under different norms.

A breakdown of toric orbifolds and their classification.

Exploring the existence of infinitely many quartic points on modular curves.

An overview of Morse local-to-global groups and their significance in group theory.