English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Kernels for Grassmann flops

MPS-Authors
/persons/resource/persons256723

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

External Ressource
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. (in press). Kernels for Grassmann flops. Journal de Mathématiques Pures et Appliquées, Corrected Proof Online - Print pending. doi:10.1016/j.matpur.2021.01.005.


Cite as: http://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.