We prove that there exists a holomorphic symplectic manifold deformation equivalent to the Hilbert scheme of two points on a K3 surface that admits a nonsymplectic automorphism of order 23, which is the maximal possible prime order in this deformation family. The proof uses the theory of ideal lattices in cyclomotic fields.
Isometries of Ideal Lattices and Hyperkahler Manifolds
C. Camere;
2016-01-01
Abstract
We prove that there exists a holomorphic symplectic manifold deformation equivalent to the Hilbert scheme of two points on a K3 surface that admits a nonsymplectic automorphism of order 23, which is the maximal possible prime order in this deformation family. The proof uses the theory of ideal lattices in cyclomotic fields.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
