Latest Articles for Algebraic Geometry

This article discusses the challenges of smoothing stable maps in projective varieties.

Explore the connections between Rankin-Selberg theory and modular forms in mathematics.

Exploring the role of companion matrices within classical groups and their significance.

A study on methods to compute orbit closures in algebraic varieties.

An overview of Schubert varieties, focusing on smoothness and singularity.

Overview of mixed Hodge modules and their relevance to algebraic stacks.

A study on Kodaira fibrations and their algebraic sections in geometry.

Explore the significance of arithmetic degrees in dynamical systems and rational maps.

An overview of Drinfeld modular forms and their interaction with Hecke operators.

Examining relationships between Drinfeld modular forms and key mathematical concepts.

Explore the properties and significance of elliptic surfaces in mathematics.

A study of places on the projective line and efficient algorithms for enumeration.

A look at the characteristics and importance of coherent sheaves in algebraic geometry.

An overview of Hilbert schemes, Białynicki-Birula cells, and their geometric implications.

An overview of curves, Jacobians, and finite groups in mathematics.

This article reviews the complement of the skeleton in higher dimensional Berkovich spaces.

Examining the role of Hodge-Lyubeznik numbers in algebraic geometry and singularities.

This article explores the significance of coherent sheaves in the study of geometry.

Exploring the interplay between elliptic curves and Galois representations in number theory.

An overview of the Hilbert scheme, K-theory, and their mathematical connections.

Exploring the complex relationships and structures of Riemann surfaces.

This article reviews motives in mathematics, highlighting their connections and implications.

Examining the interaction of curves and surfaces in algebraic geometry.

Examining the relationship between elliptic curves and Watkins's conjecture offers new insights.

Exploring topological and categorical definitions of schemes in algebraic geometry.

A deep dive into elliptic curves and the significance of Hessian transformations.

Explores relationships in abelian schemes and their implications in mathematics.

Explore the unique properties and behaviors of singular surfaces in geometry.

An overview of Drinfeld modular curves and their mathematical significance.

A look into homotopy, motivic homology, and their impact on mathematics.

Examining the role of anti-cyclotomic Euler systems in number theory.

Exploring normal functions and their relationship with algebraic curves and the Ceresa cycle.

A study on I-surfaces and their mixed Hodge structures influenced by singularities.

A clear overview of smooth schemes and cohomology in algebraic geometry.

Exploring connections between tame and log-étale motives in algebraic geometry.

A deep dive into local systems and their connections to geometry.

This paper examines the relationship between elliptic curves, torsion points, and Tamagawa numbers.

Explore how Hilbert schemes connect geometry with particle physics concepts.

A look into loop Grassmannians and their relation to quiver gauge theory.

This research explores solutions to polynomial equations and their implications in mathematics.