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math.AG2024
The -Geometric Hilbert Scheme -- Part II: Hilbert and Quot DG-Schemes
Jacob Kryczka, Artan Sheshmani
This is the second in a series of two papers developing a moduli-theoretic framework for differential ideal sheaves associated with formally integrable, involutive systems of algeb…
math.AG2024
Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism
Jacob Kryczka, Artan Sheshmani, Shing-Tung Yau
This paper is the second in a series of works dedicated to studying non-linear partial differential equations via derived geometric methods. We study a natural derived enhancement…