4 papers
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…
Embodiment-Aware Inference-Time Search for Human Reaction Selection in Humanoid Retargeting
Yongpeng Cao, Masahiro Hirano, Yuji Yamakawa
Training humanoid robots to learn human behaviors requires expensive data collection, and human-robot interaction data can be even more difficult and costly to collect. Training a…
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…
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…