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math.AG2026
Stability conditions on Calabi-Yau threefolds of type K
Uttaran Dutta
A Calabi-Yau threefold of type K is a free quotient of the product of a K3 surface and an elliptic curve. We construct a family of geometric Bridgeland stability…
math.AG2025
Nef cones of Hilbert schemes of points on some K3 surfaces
Uttaran Dutta, Sean Edwards, Neelarnab Raha
We illustrate the typical usage of Bayer and Macrì's Positivity Lemma to compute the nef cones of the Hilbert schemes by combining the Bridgeland stability methods (for l…
math.AG2025
Integral transforms on singularity categories for Noetherian schemes
Uttaran Dutta, Pat Lank, Kabeer Manali Rahul
This work studies conditions under which integral transforms induce exact functors on singularity categories between schemes that are proper over a Noetherian base scheme. A comple…