paint-brush
Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizationsby@eigenvector
113 reads

Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizations

Too Long; Didn't Read

This paper studies equivalences between magic windows that correspond to wall-crossings in a hyperplane arrangement in terms of NCCRs.
featured image - Mutations of noncommutative crepant resolutions: Appendix A. Matrix factorizations
Eigenvector Initialization Publication HackerNoon profile picture

Authors:

(1) Wahei Hara;

(2) Yuki Hirano.

Appendix A. Matrix factorizations

This appendix recalls definitions and fundamental properties of derived factorization categories. See [Pos, BFK1, BDFIK, Hir1, Hir3] for more details.








where W in the left LG model denotes f ∗W by abuse of notation, and the functor (A.A) defines the right derived functor



The following shows an equivariant and factorization version of a tilting equivalence.



Lemma A.6 ([BFK1, Proposition 3.20][1]). Assume that the sections s and t ∗ are regular. Then there are isomorphisms



This paper is available on arxiv under CC0 1.0 DEED license.


[1] There is a typo in the latter assertion in loc. cit.

L O A D I N G
. . . comments & more!

About Author

Eigenvector Initialization Publication HackerNoon profile picture
Eigenvector Initialization Publication@eigenvector
Cutting-edge research & publications dedicated t0 eigenvector theory, shaping diverse science & technological fields.

TOPICS

Languages

THIS ARTICLE WAS FEATURED IN...