2 citations · 2 across the 3 of their papers we have counts for
9 papers
The Dimension Conjecture Implies The Jacobi Bound Conjecture
Taylor Dupuy, David Zureick-Brown
We prove that the Dimension Conjecture implies the Jacobi Bound Conjecture.
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.
Order one differential equations on nonisotrivial algebraic curves
Taylor Dupuy, James Freitag
In this paper we provide new examples of geometrically trivial strongly minimal differential algebraic varieties living on nonisotrivial curves over differentially closed fields of…
Probabilistic Szpiro, Baby Szpiro, and Explicit Szpiro from Mochizuki's Corollary 3.12
Taylor Dupuy, Anton Hilado
In \cite{Dupuy2020a} we gave some explicit formulas for the "indeterminacies" Ind1,Ind2,Ind3 in Mochizuki's Inequality as well as a new presentation of initial theta data. In the p…
Counterexamples to a Conjecture of Ahmadi and Shparlinski
Taylor Dupuy, Kiran Kedlaya, David Roe +1
Ahmadi-Shparlinski conjectured that every ordinary, geometrically simple Jacobian over a finite field has maximal angle rank. Using the L-Functions and Modular Forms Database, we p…
Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB
Taylor Dupuy, Kiran Kedlaya, David Roe +1
This document is intended to summarize the theory and methods behind fq_isog collection inside the ab_var database in the LMFDB as well as some observations gleaned from these data…