Kernels for Grassmann flops

Ballard, Matthew R.; Chidambaram, Nitin K.; Favero, David; McFaddin, Patrick K.; Vandermolen, Robert R.

doi:10.1016/j.matpur.2021.01.005

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Kernels for Grassmann flops

MPS-Authors

/persons/resource/persons256723

Chidambaram, Nitin K.
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1016/j.matpur.2021.01.005
(Publisher version)

https://doi.org/10.48550/arXiv.1904.12195
(Preprint)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

arXiv:1904.12195.pdf
(Preprint), 343KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Ballard, M. R., Chidambaram, N. K., Favero, D., McFaddin, P. K., & Vandermolen, R. R. (2021). Kernels for Grassmann flops. Journal de Mathématiques Pures et Appliquées, 147, 29-59. doi:10.1016/j.matpur.2021.01.005.

Cite as: https://hdl.handle.net/21.11116/0000-0007-E838-5

Abstract

We develop a generalization of the Q-construction of the first author, Diemer, and the third author for Grassmann flips. This generalization provides a canonical idempotent kernel on the derived category of the associated global quotient stack. The idempotent kernel, after restriction, induces a semi-orthogonal decomposition which compares the flipped varieties. Furthermore its image, after restriction to the geometric invariant theory semistable locus, "opens" a canonical "window" in the derived category of the quotient stack. We check this window coincides with the set of representations used by Kapranov to form a full exceptional collection on Grassmannians.