Modular perverse sheaves on flag varieties III: positivity conditions
Pramod N. Achar, Simon Riche
TL;DR
This paper advances the theory of mixed modular derived categories and applies it to analyze positivity and Q-Koszulity phenomena on flag varieties, providing new insights into their algebraic and geometric structures.
Contribution
It develops the theory of mixed modular derived categories further and explores their applications to positivity and Q-Koszulity in flag varieties.
Findings
Enhanced understanding of positivity conditions on flag varieties
New results on Q-Koszulity phenomena
Development of the mixed modular derived category framework
Abstract
We further develop the general theory of the "mixed modular derived category" introduced by the authors in a previous paper in this series. We then use it to study positivity and Q-Koszulity phenomena on flag varieties.
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