A moduli-space construction realizes the Laza-Saccà-Voisin compactification and yields infinitely many new families of O'Grady's ten-dimensional hyper-Kähler manifolds.
Moduli of sheaves on $K3$'s and higher dimensional HK varieties
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We review a proof of the well know result stating that moduli spaces of stable sheaves with fixed Chern character on a polarized $K3$ surface are deformations of a hyperk\"ahler variety of Type $K3^{[n]}$ (if a suitable numerical hypothesis is satisfied). In a recent work we have adapted that proof in order to prove results on moduli of vector bundles on polarized hyperk\"ahler varieties of Type $K3^{[2]}$ - this is the content of the second part of the paper.
fields
math.AG 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
O'Grady's tenfolds from stable bundles on hyper-K\"ahler fourfolds
A moduli-space construction realizes the Laza-Saccà-Voisin compactification and yields infinitely many new families of O'Grady's ten-dimensional hyper-Kähler manifolds.