Abstract
This paper introduces Lascoux-type complexes that extend the Lascoux complexes for resolving generic determinantal ideals. These Lascoux-type complexes naturally arise when analyzing the correspondences between two different types of resolutions of singularities of determinantal varieties. We also discuss the applications of these resolutions in various geometric contexts, including blowups, standard flips, virtual flips, and projectivizations.
| Original language | English |
|---|---|
| Pages (from-to) | 417-453 |
| Number of pages | 37 |
| Journal | Journal of Algebra |
| Volume | 686 |
| Early online date | 29 Aug 2025 |
| DOIs | |
| Publication status | Published - 15 Jan 2026 |
Bibliographical note
Publisher Copyright:© 2025 Elsevier Inc.
Keywords
- Resolutions
- Lascoux complexes
- Determinantal varieties
- Schur modules
- Cohomology of vector bundles
- Derived categories
- Semiorthogonal decompositions
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