Latest Articles for Algebraic Geometry

Exploring the unique properties of genus 3 hyperelliptic curves with involutions.

Research on the behavior of derived categories and their generators in algebraic geometry.

Exploring the role and applications of hyperelliptic curves in various fields.

Exploring the basic concepts and properties of Goursat distributions in geometry.

Exploring properties of irreducible toric vector bundles and their significance in geometry.

A look at toric vector bundles and their positivity characteristics.

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

Insights into surfaces with torus actions and the Picard index.

Examining relationships between elliptic curves through isogeny and height constraints.

An overview of abelian surfaces and their significance in mathematical research.

This article examines abelian varieties and their classification over finite fields.

Examining local systems reveals deep ties between geometry and number theory.

A deep dive into cyclic coverings and their impact on algebraic curves.

Explore the unique properties and significance of Fano simplices in geometry.

A method for classifying irreducible projective varieties without toric structures.

Explore the significance and connections of elliptic curves in mathematics.

Examining the interplay between cohomology and group symmetry in algebraic curves.

Exploring connections between stationary descendents and quasimodular forms in mathematics.

A look at integrable maps within the Volterra lattice framework.

A look into the significance and study of non-ordinary curves.

An overview of group actions on Segre cubic and Burkhardt quartic Fano varieties.

This paper examines symmetric varieties over p-adic fields and their representations.

A deep look into line arrangements and their mathematical properties.

Explore Kummer varieties and their significance in rational points and number theory.

Discover a method for counting curves in toric varieties using Gromov-Witten invariants.

Examining the ties between vertex operators, singular curves, and soliton solutions.

Exploring the relationship between graphs and curves through quasistable divisors.

A look into the significance of Cohen-Macaulay modules in algebra.

Exploring the connections between quasi-BPS categories and K3 surfaces in mathematics.

Discover how quasi-BPS categories connect diverse concepts in algebraic geometry and representation theory.

An overview of quasi-BPS categories and their applications in mathematics.

This article examines the impact of non-toric blowups on toric surfaces and their geometric implications.

Explore the relationships between toric varieties, flips, and sheaf stability.

Exploring the implications of generic vanishing results in Fujiki class manifolds.

This article examines the link between foliations and varieties using the adjunction formula.

Explore the connections between perverse coherent sheaves and quivers in mathematics.

This article examines key aspects of Shimura varieties and their special fibers.

Examining cyclic covers enhances our grasp of curves and their properties.

Examining geometric extensions and their significance in algebraic geometry and singularities.

Study the properties of solid rational surfaces influenced by group actions.