A toric blow-up method computes the integral cohomology of quotients by cyclic prime-order groups and yields new Beauville-Bogomolov lattices for K3[m]-type quotients by order 5 and 7 symmetries.
Mongardi, On natural deformations of symplectic automorphisms of manif olds of K3[n] type, C
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Integral cohomology of quotients via toric geometry
A toric blow-up method computes the integral cohomology of quotients by cyclic prime-order groups and yields new Beauville-Bogomolov lattices for K3[m]-type quotients by order 5 and 7 symmetries.