Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 461-486 |
| Seitenumfang | 26 |
| Fachzeitschrift | Mathematische Annalen |
| Jahrgang | 371 |
| Ausgabenummer | 1-2 |
| Frühes Online-Datum | 8 März 2018 |
| Publikationsstatus | Veröffentlicht - 1 Juni 2018 |
| Extern publiziert | Ja |
Abstract
We study the images of tautological bundles on Hilbert schemes of points on surfaces and their wedge powers under the derived McKay correspondence. The main observation of the paper is that using a derived equivalence differing slightly from the standard one considerably simplifies both the results and their proofs. As an application, we obtain shorter proofs for known results as well as new formulae for homological invariants of tautological sheaves. In particular, we compute the extension groups between wedge powers of tautological bundles associated to line bundles on the surface.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Mathematische Annalen, Jahrgang 371, Nr. 1-2, 01.06.2018, S. 461-486.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles
AU - Krug, Andreas
PY - 2018/6/1
Y1 - 2018/6/1
N2 - We study the images of tautological bundles on Hilbert schemes of points on surfaces and their wedge powers under the derived McKay correspondence. The main observation of the paper is that using a derived equivalence differing slightly from the standard one considerably simplifies both the results and their proofs. As an application, we obtain shorter proofs for known results as well as new formulae for homological invariants of tautological sheaves. In particular, we compute the extension groups between wedge powers of tautological bundles associated to line bundles on the surface.
AB - We study the images of tautological bundles on Hilbert schemes of points on surfaces and their wedge powers under the derived McKay correspondence. The main observation of the paper is that using a derived equivalence differing slightly from the standard one considerably simplifies both the results and their proofs. As an application, we obtain shorter proofs for known results as well as new formulae for homological invariants of tautological sheaves. In particular, we compute the extension groups between wedge powers of tautological bundles associated to line bundles on the surface.
UR - http://www.scopus.com/inward/record.url?scp=85042947263&partnerID=8YFLogxK
U2 - 10.1007/s00208-018-1660-5
DO - 10.1007/s00208-018-1660-5
M3 - Article
AN - SCOPUS:85042947263
VL - 371
SP - 461
EP - 486
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 1-2
ER -