The LLV Decomposition of Hyperkähler Cohomology and Applications to the Nagai Conjecture (After Green–Kim–Laza–Robles)

Following work of Green, Kim, Laza, and Robles, we discuss the structure and known cases of the decomposition of the cohomology of hyperkähler varieties under the Looijenga–Lunts–Verbitsky algebra. This has applications to the Nagai conjecture concerning degenerations of hyperkähler varieties.

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Veröffentlicht in:Milan journal of mathematics 2022-12, Vol.90 (2), p.485-501
Hauptverfasser: Oberdieck, Georg, Song, Jieao
Format: Artikel
Sprache:eng
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Zusammenfassung:Following work of Green, Kim, Laza, and Robles, we discuss the structure and known cases of the decomposition of the cohomology of hyperkähler varieties under the Looijenga–Lunts–Verbitsky algebra. This has applications to the Nagai conjecture concerning degenerations of hyperkähler varieties.
ISSN:1424-9286
1424-9294
DOI:10.1007/s00032-022-00362-1