Latest Articles for Geometry

A look into Shimura varieties and their significance in mathematics.

This article examines differential operators and their relationship with vector fields on manifolds.

Explore the unique properties of plane quartics and their connections in mathematics.

A look into the counting of points in toric varieties and their properties.

A look at how mappings behave in differential inclusions and their implications.

A look into the properties and significance of infinite-type surfaces.

Exploring the relationship between gauge theories, ADE singularities, and Chern-Simons theory.

Examining unique arrangements of convex polygons in non-repeating tiling patterns.

An overview of tiling spaces, diffeology, and fiber bundles.

A look into three-manifolds, foliations, and Heegaard Floer homology.

This paper examines essential curves on a cube with vertex holes.

Exploring constraints in mechanical movement and their implications for dynamics.

Exploring the role and properties of Spin(7)-structures in modern mathematics.

Exploring the relationship between Virasoro constraints and K3 surfaces in mathematics.

A study on counting rational curves touching simple normal crossings.

Exploring contact structures and their role in geometry.

A guide to the study of complex manifolds and their properties.

This article examines the relationship between varieties, connectedness, and log uniruledness.

Examining Hamiltonian diffeomorphisms and their impact on surface structures.

A study of polytopes formed from multipartite graphs and their properties.

Matricubes offer insights into arrangements of mathematical objects through flags and rank functions.

An overview of Carnot groups and their applications in control theory and path optimization.

Exploring the relationship between dimer models, boundary algebras, and positroids.

Discover the significance of Blaschke's theorem in convex shapes and their interactions.

Discover the unique concept of hyperrings and their applications across various fields.

A look at Galois groups and their role in special groups and quadratic forms.

A clear exploration of homotopy and homology in topology.

An overview of special geometry and its role in quantum field theories.

A look into the properties and significance of partial lattices in mathematics.

Exploring the link between Toeplitz operators and random holomorphic sections on complex manifolds.

A look into the characteristics and classification of thin simplices.

Examining the transition from general concept classes to extremal classes in data analysis.

This study examines the complexities of guarding polygons with visibility restrictions.

Research sheds light on schemes and their properties within algebraic geometry.

Exploring the relationship between different triangulations in geometry and topology.

An overview of compact subvarieties in moduli spaces of abelian varieties.

Exploring the significance of group representations and p-adic groups in modern mathematics.

Investigating skew corners and their impact on geometric arrangements and algorithms.

Explore the significance of Schatten classes in mathematics and their applications.

Exploring the links between supersymmetry and generalized Kahler geometry in modern physics.