Details
| Original language | English |
|---|---|
| Pages (from-to) | 1015-1031 |
| Number of pages | 17 |
| Journal | Forum Mathematicum |
| Volume | 34 |
| Issue number | 4 |
| Early online date | 20 Apr 2022 |
| Publication status | Published - 1 Jul 2022 |
Abstract
Keywords
- generalized Kummer varieties, moduli spaces, Stable sheaves
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
- Mathematics(all)
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In: Forum Mathematicum, Vol. 34, No. 4, 01.07.2022, p. 1015-1031.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stable vector bundles on generalized Kummer varieties
AU - Reede, Fabian
AU - Zhang, Ziyu
N1 - Acknowledgments: We thank the referee for carefully reading a previous version of the manuscript and several suggestions for improvement.
PY - 2022/7/1
Y1 - 2022/7/1
N2 - Let \(A\) be an abelian surface. We construct two complete families of stable vector bundles on the generalized Kummer variety \(K_n(A)\). The first is the family of tautological bundles associated to stable bundles on \(A\), and the second is the family of the ''wrong-way'' fibers of a universal family of stable bundles on the dual abelian variety \(\widehat{A}\) parametrized by \(K_n(A)\). Each family exhibits a smooth connected component in the moduli space of stable bundles on \(K_n(A)\)
AB - Let \(A\) be an abelian surface. We construct two complete families of stable vector bundles on the generalized Kummer variety \(K_n(A)\). The first is the family of tautological bundles associated to stable bundles on \(A\), and the second is the family of the ''wrong-way'' fibers of a universal family of stable bundles on the dual abelian variety \(\widehat{A}\) parametrized by \(K_n(A)\). Each family exhibits a smooth connected component in the moduli space of stable bundles on \(K_n(A)\)
KW - generalized Kummer varieties
KW - moduli spaces
KW - Stable sheaves
UR - http://www.scopus.com/inward/record.url?scp=85129244168&partnerID=8YFLogxK
U2 - 10.1515/forum-2021-0249
DO - 10.1515/forum-2021-0249
M3 - Article
VL - 34
SP - 1015
EP - 1031
JO - Forum Mathematicum
JF - Forum Mathematicum
SN - 0933-7741
IS - 4
ER -