From the 1 of 5 linked papers with an AI index.
5 papers
Graded Keller maps and the Jacobian Conjecture
T. Shaska
Rational points on weighted projective spaces are sparse: a point of lifts along the Veronese morphism only when a Kummer condition holds at every prime…
Arithmetic Sparsity and Obstructions in Weighted Projective Spaces
Tanush Shaska
The paper studies the distribution of rational and algebraic points of bounded height on weighted projective spaces, proving asymptotic counting formulas for two natural height fun…
Geometric Learning and Finsler Metrics in Weighted Projective Spaces
Tony Shaska
We introduce a hierarchical clustering framework for weighted projective spaces built on Finsler geometry. From an optimization-based Finsler norm that qu…
Graded Quantum Codes
Tony Shaska
This work develops a geometric framework for constructing quantum error-correcting codes from weighted projective and orbifold structures, integrating algebraic geometry, divisor t…
A Unified Mathematical Framework for Distributed Data Fabrics: Categorical Hypergraph Models
T. Shaska, I. Kotsireas
Current distributed data fabrics lack a rigorous mathematical foundation, often relying on ad-hoc architectures that struggle with consistency, lineage, and scale. We propose a mat…