3 papers
math.AG2025
Tyurin Degenerations, Derived Lagrangians and Categorification of DT Invariants
Jacob Kryczka, Artan Sheshmani
We consider the moduli space of rigidified perfect complexes with support on a general complete intersection Calabi-Yau threefold and its Tyurin degeneration $X\rightsquigarrow…
math.AG2025
The -Geometric Hilbert Scheme -- Part I: Involutivity and Stability
Jacob Kryczka, Artan Sheshmani
We construct a moduli space of formally integrable and involutive ideal sheaves arising from systems of partial differential equations (PDEs) in the algebro-geometric setting, by i…
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…