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math.AG2026
Noncommutative Hourglasses II 1/2: Derived Category of Birational Linkage with Well-Formed Singularities
Xingbang Hao
We consider varieties whose singularities are complete intersections within toric singularities, which we call well-formed varieties. Using the construction of equivariant standard…
math.AG2025
Constructing and transforming standard resolutions of local modules
Xingbang Hao
We construct standard resolutions for analytic local modules on complex hypersurfaces using standard basis methods, with extensions to complete intersections. The algebraic version…
math.AG2025
Non-commutative hourglasses I: On classification of the Q-Fano 3-folds Gorenstein index 2 via Derived category
Xingbang Hao
In previous work, Takagi used the methods of solving the Sarkisov links by calculating the corresponding Diophantine equations and the construction of key varieties to give all pos…