Latest Articles for Geometry

Exploring the relationship between homeomorphisms, fixed points, and chain recurrence.

A look into the affine line's significance in modern mathematics.

A look into complex manifolds and their significant properties.

An analysis of Hermitian type Lie groups and their significance in representation theory.

An introduction to Higgs bundles and their harmonic metrics on hyperbolic surfaces.

Discover the relationships between varieties through mirror symmetry and Clarke pairs.

This study expands dimer models and explores complex surfaces using the web trace theorem.

An exploration of the classification of abelian varieties using moduli spaces.

A look at Sobolev spaces and their significance in analysis and differential equations.

Explore the unique properties and constructions of Poncelet polygons in geometry.

This article examines symplectic geometry and its interplay with quantum cohomology.

Exploring the relationships between shapes formed by lines and conics.

An overview of symplectic cohomology and its key concepts.

Exploring girth in groups acting on CAT(0) cube complexes.

An overview of L-infinity structures and their role in quantum theories.

Exploring the connections between geometry, algebra, and physics through mirror symmetry.

A look into the world of geometric configurations and their challenges.

HOBO offers an efficient way to find Pythagorean triples.

An overview of the connection between vector spaces and quadratic forms.

An overview of the relationship between Calabi-Yau operators and paramodular forms.

Exploring the properties and implications of hypersurfaces in Minkowski space.

This paper investigates hypercomplete étale sheafification and its relation to stable motivic spectra.

A simplified overview of Lie algebras and their role in integrable systems.

Exploring the links between Hodge theory, algebraic varieties, and their interactions.

Explore the connections between unirationality, rationality, and smooth varieties in geometry.

A look at good moduli spaces and their role in organizing mathematical shapes.

Explore the key properties and significance of T-hypersurfaces in geometry.

An analysis of simple closed geodesics on spherical polyhedra.

This study investigates how singularities affect the stability of Ricci shrinkers.

Exploring the relationship between finitely presented groups and planar Cayley graphs.

An overview of the structure and significance of non-degenerate CR manifolds in geometry.

Exploring the role of complements in log-Fano foliations and their properties.

Chern-Ricci flow reveals insights into geometric structures over time.

Analyzing the impact of edgewise subdivision on simplex structures and their properties.

An overview of Brill-Noether theory, line bundles, and their properties on curves.

Learn about small covers, their properties, and connections to links and knots.

Explore tropical geometry and its connections to algebraic varieties through Chow groups.

Explore the fascinating shapes that shape our understanding of the universe.

Exploring the link between Toda lattice dynamics and minimal surfaces in mathematics.

A look into the nature of conformal metrics and their singularities.