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Download fileThe perfect cone compactification of quotients of type IV domains
Abstract. The perfect cone compactification is a toroidal compactification which can be defined for locally symmetric varieties. Let
DL/Õ+(L)p
be the perfect cone compactification of the quotient of the
type IV domain DL associated to an even lattice L. In our main theorem
we show that the pair (DL/Õ+(L)p , ∆/2) has klt singularities, where ∆
is the closure of the branch divisor of DL/Õ+(L)p.
In particular this applies to the perfect cone compactification of the moduli space of 2d-polarised K3 surfaces with ADE singularities when d is square-free.
In particular this applies to the perfect cone compactification of the moduli space of 2d-polarised K3 surfaces with ADE singularities when d is square-free.
Funding
DFG through the research grant Le 3093/3-1
History
School
- Science
Department
- Mathematical Sciences