Geodesic
Nearby cycles for parity sheaves on a divisor with simple normal crossings
Journal of Singularities, Tome 20 (2020), pp. 311-341

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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. 
@article{10_5427_jsing_2020_20o,
     author = {Pramod N. Achar and Laura Rider},
     title = {Nearby cycles for parity sheaves on a divisor with simple normal crossings},
     journal = {Journal of Singularities},
     pages = {311--341},
     publisher = {mathdoc},
     volume = {20},
     year = {2020},
     doi = {10.5427/jsing.2020.20o},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.20o/}
}
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Pramod N. Achar; Laura Rider. Nearby cycles for parity sheaves on a divisor with simple normal crossings. Journal of Singularities, Tome 20 (2020), pp. 311-341. doi: 10.5427/jsing.2020.20o

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