Latest Articles for Algebraic Geometry

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.

A look into the study of varieties in algebraic geometry.

An overview of the weighted Hermite-Einstein equation and its significance in mathematics.

A look into transseries and their importance in mathematical structures.

Exploring the classification and counting of curves in algebraic geometry.

An overview of mixed Tate motives and their significance in number theory.

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

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

A look at the role of period maps in understanding Calabi-Yau shapes.

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

This article examines function approximation in algebraic varieties using the Relative Stone-Weierstrass theorem.

Exploring higher Chow cycles and their construction on specific algebraic surfaces.

Exploring the connections between Bott-Samelson rings and algebraic structures.

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

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

A look into the complexities of twisted double ramification hierarchies in mathematics.

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

An overview of spectral curves and their connection to linear systems in algebraic geometry.

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

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

A look into the relationship between curves and their secant varieties.

A simplified view of Seshadri stratifications and Young-tableaux in algebraic geometry.

This study examines conditions for irreducibility in complete intersections of algebraic structures.