Latest Articles for Algebraic Geometry

Learn how to compute properties of constructible sheaves using étale cohomology.

Exploring the behavior of vector bundles influenced by surface modifications.

An overview of multivariate polynomial splines and their applications.

This article explores the role of affine Deligne-Lusztig varieties in algebraic geometry.

A look into the geometry and properties of affine Deligne-Lusztig varieties.

Exploring key insights from the generalized vanishing theorem in algebraic geometry.

Exploring the connections between geometric motives and algebraic geometry structures.

Exploring the role of Newton polygons in the study of algebraic curves.

This article examines recent developments in Brill-Noether Theory and its implications.

A deep dive into the nature and properties of smooth projective integral curves.

This article discusses arithmetic degrees in geometry, focusing on varieties and rational self-maps.

This article explores the significance of Hasse invariants in Hilbert modular varieties.

This article examines the moments of Artin-Schreier functions across different families of algebraic curves.

An exploration of isolated singularities using D-modules and pole order filtrations.

A look into K3 surfaces, their unique features, and automorphisms.

An overview of essential ideas in mathematics and their connections.

Examining relationships between zeta functions in number theory and their implications.

A look into hyperelliptic curves and their role in algebraic geometry.

Exploring the relationship between Fano manifolds, the Futaki invariant, and special metrics.

Study of vanishing theorems for vector bundles on Kähler manifolds.

A look into the geometry and properties of -bic hypersurfaces and their Fano schemes.

This article examines integral points on specific mathematical surfaces.

A look at tautological rings and their role in mathematics.

Examining the connections between integrable systems and random matrices in physics and mathematics.

An exploration of geometric shapes defined by polynomial equations and their complexities.

A simplified look at root stacks and spherical functors in algebraic geometry.

Exploring the connection between algebraic topology and geometry through motivic homotopy theory.

An overview of smooth curves in algebraic geometry and their properties.

Exploring the relationship between intersection numbers, polynomials, and partition sequences.

A look into algebraic curves and their unramified covers over fields.

A look into uniqueness theorems and their significance in meromorphic maps.

A look at elliptic curves, complex multiplication, and their division fields.

Exploring the distinct characteristics of meromorphic maps and their relation to hyperplanes.

Exploring the concept of twisted -sphericity and its applications in algebraic structures.

This study examines complex intersections of hyperelliptic and supersingular curves.

This article examines the relationship between skew lines and stability conditions in algebraic geometry.

This article discusses the Bogomolov-Gieseker inequality and its implications for singular surfaces.

A detailed look at toric foliations and their significance in mathematics.

Enriques surfaces play a key role in understanding complex geometrical properties.

This article examines conjectures in GSpin Shimura varieties through arithmetic perspectives.