Monodromy and birational geometry of O'Grady's sixfolds

DOI10.1016/j.matpur.2020.12.006zbMath1461.14014arXiv1909.07173OpenAlexW3112628269MaRDI QIDQ2224715

Giovanni Mongardi, Antonio Rapagnetta

Publication date: 4 February 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07173

zbMATH Keywords

monodromy groupLagrangian fibrationample coneO'Grady's sixfolds

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Minimal model program (Mori theory, extremal rays) (14E30) (n)-folds ((n>4)) (14J40) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items (9)

Nonsymplectic automorphisms of prime order on O'Grady's sixfolds ⋮ On the monodromy group of desingularised moduli spaces of sheaves on K3 surfaces ⋮ Computing Riemann–Roch polynomials and classifying hyper-Kähler fourfolds ⋮ Parabolic automorphisms of hyperkähler manifolds ⋮ Induced birational transformations on O'Grady's sixfolds ⋮ Rational curves on primitive symplectic varieties of \(\mathrm{OG}_6^s\)-type ⋮ Symplectic birational transformations of finite order on O'Grady's sixfolds ⋮ Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type ⋮ Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type

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