Derived Categories of (Nested) Hilbert Schemes

verfasst von

Pieter Belmans, Andreas Krug

Abstract

In this paper, we provide several results regarding the structure of derived categories of (nested) Hilbert schemes of points. We show that the criteria of Krug–Sosna and Addington for the universal ideal sheaf functor to be fully faithful resp. a P-functor are sharp. Then we show how to embed multiple copies of the derived category of the surface using these fully faithful functors. We also give a semiorthogonal decomposition for the nested Hilbert scheme of points on a surface, and finally we give an alternative proof of a semiorthogonal decomposition due to Toda for the symmetric product of a curve.

Organisationseinheit(en)

Institut für Algebraische Geometrie

Externe Organisation(en)

University of Luxembourg

Typ

Artikel

Journal

Michigan mathematical journal

Band

74

Seiten

167-187

Anzahl der Seiten

21

ISSN

0026-2285

Publikationsdatum

02.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Mathematik (insg.)

Elektronische Version(en)

https://doi.org/10.48550/arXiv.1909.04321 (Zugang: Offen)
https://doi.org/10.1307/mmj/20216092 (Zugang: Geschlossen)