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Introduction and preparatory material
The cusps and their resolution for the 2dimensional case
Numerical invariants of singularities and of Hilbert modular
3 other sections not shown
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adjunction formula admissible algebraic surface arithmetic genus automorphism bijection Chern class Chern divisor class number compact compactification complete Z-module complex manifold configuration continued fraction coordinate system corresponding curve F curve Sk cusp at oo cusp forms cusp singularities defined denote discrete irreducible discrete subgroup element equals Euler number exceptional curves finite volume follows function given group G Hilbert modular group Hilbert modular surface holomorphic ideal class intersection number invariant involution irreducible curve isolated fixed points isotropy group lemma matrix module natural number negative norm neighborhood non-singular algebraic surface non-singular model normal complex space parabolic points prime primitive cycle Proof properly discontinuously quadratic irrationality quotient singularities rational curves rational number real quadratic field singular point singularities of type SL2 oK strict equivalence classes surface is rational surface Y(p tangent bundle totally positive unit totally real field unit of negative Y(oK Y+/V