Lagrangian planes in hyperkähler varieties of K3(n)-type
Jieao Song recently conjectured a formula for the class of a Lagrangian plane on a hyperkähler variety of K 3[n]-type in terms of the class of a line on it. We give a proof of this conjecture if the line class is primitive.
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
7 May 2025
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| In: |
Mathematische Zeitschrift
Year: 2025, Volume: 310, Issue: 3, Pages: 1-20 |
| ISSN: | 1432-1823 |
| DOI: | 10.1007/s00209-025-03755-1 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00209-025-03755-1 Verlag, kostenfrei, Volltext: https://link.springer.com/10.1007/s00209-025-03755-1 
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| Author Notes: | Georg Oberdieck |
| Summary: | Jieao Song recently conjectured a formula for the class of a Lagrangian plane on a hyperkähler variety of K 3[n]-type in terms of the class of a line on it. We give a proof of this conjecture if the line class is primitive. |
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| Item Description: | Gesehen am 25.08.2025 Im Text ist "n" in eckiger Klammer hochgestellt |
| Physical Description: | Online Resource |
| ISSN: | 1432-1823 |
| DOI: | 10.1007/s00209-025-03755-1 |