We provide an explicit canonical description of the perverse cohomology sheaves and of the primitive perverse cohomology complexes for the non-small resolution π: S&tild; → S of a special Schubert variety S. For such a resolution, we also discuss a way to obtain an explicit splitting of R πz.ast; ℚS&tild;, in the derived category, by means of Gysin morphisms and cohomology extensions.
Explicit decomposition theorem for special Schubert varieties / Franco, Davide. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - 32:2(2020), pp. 447-470. [10.1515/forum-2019-0064]
Explicit decomposition theorem for special Schubert varieties
Franco Davide
2020
Abstract
We provide an explicit canonical description of the perverse cohomology sheaves and of the primitive perverse cohomology complexes for the non-small resolution π: S&tild; → S of a special Schubert variety S. For such a resolution, we also discuss a way to obtain an explicit splitting of R πz.ast; ℚS&tild;, in the derived category, by means of Gysin morphisms and cohomology extensions.File in questo prodotto:
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