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February 11, 2025 preprint Open access Aachen paper

Local intersection cohomology of varieties of complexes

arXiv (Cornell University)

DOI: 10.48550/arxiv.2502.07688 Full text (OA) OpenAlex

Abstract

We compute the local intersection cohomology of the irreducible components of varieties of complexes, by using Lusztig's geometric approach to quantum groups and explicit constructions of elements of Lusztig's canonical bases.

Authors 2

  1. Xin Fang Aachen Lehrstuhl für Algebra und Darstellungstheorie

    RWTH Aachen University · Ruhr University Bochum

    Affiliation as printed

    Lehrstuhl für Algebra und Darstellungstheorie , RWTH Aachen , Pontdriesch 10-16 , 52062 Aachen , Germany

    Ruhr-Universität Bochum , Faculty of Mathematics , Universitätsstraße 150 , 44780 Bochum , Germany

  2. Markus Reineke Aachen Lehrstuhl für Algebra und Darstellungstheorie

    RWTH Aachen University

    Affiliation as printed

    Lehrstuhl für Algebra und Darstellungstheorie , RWTH Aachen , Pontdriesch 10-16 , 52062 Aachen , Germany

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