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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2020 Volume 211, Number 7, Pages 24–59 (Mi sm9292)

This article is cited in 3 papers

On the derived category of $\mathrm{IGr}(3,8)$

L. A. Guseva

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: We construct a full exceptional collection of vector bundles in the bounded derived category of coherent sheaves on the Grassmannian $\mathrm{IGr}(3,8)$ of isotropic 3-dimensional subspaces in a symplectic vector space of dimension 8.
Bibliography: 16 titles.

Keywords: derived category of coherent sheaves, semiorthogonal decompositions.

UDC: 512.7

MSC: 14F08, 14M15

Received: 11.06.2019 and 16.04.2020

DOI: 10.4213/sm9292


 English version:
Sbornik: Mathematics, 2020, 211:7, 922–955

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© Steklov Math. Inst. of RAS, 2024