Nearby cycles for parity sheaves on a divisor with simple normal crossings

Pramod N. Achar and Laura Rider

Journal of Singularities
volume 20 (2020), 311-341

Received: 17 July 2019. Received in revised form: 5 November 2020

DOI: 10.5427/jsing.2020.20o

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Abstract:

The first author recently introduced a "nearby cycles formalism" in the framework of chain complexes of parity sheaves. In this paper, we compute this functor in two related settings: (i) affine space, stratified by the action of a torus, and (ii) the global Schubert variety associated to the first fundamental coweight of the group PGL_n. The latter is a parity-sheaf analogue of Gaitsgory's central sheaf construction.


Author(s) information:

Pramod N. Achar Laura Rider
Department of Mathematics Department of Mathematics
Louisiana State University Boyd Graduate Studies Research Center
Baton Rouge, LA 70803, USA University of Georgia
Athens, GA 30602, USA
email: pramod@math.lsu.edu email: laurajoy@uga.edu