The Jacobi Bound Conjecture for Generically Reduced Differential Schemes
Taylor Dupuy, David Zureick-Brown
TL;DR
This paper proves the Strong Jacobi Bound Conjecture specifically for generically reduced components within differential schemes, advancing understanding in differential algebraic geometry.
Contribution
It establishes the conjecture's validity for a significant class of differential schemes, filling a key gap in the theory.
Findings
Proof of the Strong Jacobi Bound Conjecture for generically reduced components
Advancement in differential algebraic geometry theory
Clarification of bounds in differential schemes
Abstract
We prove the Strong Jacobi Bound Conjecture for generically reduced components of differential schemes.
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Taxonomy
TopicsNumerical methods for differential equations · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems