3 papers
math.AG2026
The Dimension Conjecture Implies The Jacobi Bound Conjecture
Taylor Dupuy, David Zureick-Brown
We prove that the Dimension Conjecture implies the Jacobi Bound Conjecture.
math.AG2026
The Jacobi Bound Conjecture for Generically Reduced Differential Schemes
Taylor Dupuy, David Zureick-Brown
We prove the Strong Jacobi Bound Conjecture for generically reduced components of differential schemes.
math.NT2025
The Statement of Mochizuki's Corollary 3.12: Initial Theta Data
Taylor Dupuy, Anton Hilado
We show that Mochizuki's initial theta data is computable from an elliptic curve defined over . We work out the case of initial theta data for the elliptic curve with C…