Projective K3 surfaces are generalized Nikulin surfaces precisely when E7(-2) embeds primitively in the Néron-Severi lattice, with matching transcendental lattices to the quotient terminalization.
Automorphisms of Nikulin-type orbifolds
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Nikulin-type orbifolds are certain singular 4-dimensional irreducible holomorphic symplectic varieties. We show that the monodromy group of Nikulin-type orbifolds is maximal and classify finite order symplectic automorphisms up to deformation in terms of their action on the second integral cohomology group.
fields
math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Generalized Nikulin surfaces and irreducible symplectic fourfolds
Projective K3 surfaces are generalized Nikulin surfaces precisely when E7(-2) embeds primitively in the Néron-Severi lattice, with matching transcendental lattices to the quotient terminalization.