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Title of Journal: Invent math

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Abbravation: Inventiones mathematicae

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Springer-Verlag

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10.1007/bf00487665

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1432-1297

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The Kodaira dimension of the moduli of K3 surfaces

Authors: VA Gritsenko K Hulek GK Sankaran
Publish Date: 2007/05/12
Volume: 169, Issue: 3, Pages: 519-567
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Abstract

The global Torelli theorem for projective K3 surfaces was first proved by PiatetskiiShapiro and Shafarevich 35 years ago opening the way to treating moduli problems for K3 surfaces The moduli space of polarised K3 surfaces of degree 2d is a quasiprojective variety of dimension 19 For general d very little has been known hitherto about the Kodaira dimension of these varieties In this paper we present an almost complete solution to this problem Our main result says that this moduli space is of general type for d61 and for d=46 50 54 57 58 60

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Other Papers In This Journal:
  1. Serre’s modularity conjecture (I)
  2. Serre’s modularity conjecture (I)
  3. Erratum to: Burniat surfaces II: secondary Burniat surfaces form three connected components of the moduli space
  4. Image of Λ -adic Galois representations modulo p
  5. Representation theory of $\mathcal{W}$-algebras
  6. Brownian Gibbs property for Airy line ensembles
  7. Degree formula for connective K -theory
  8. Some quantitative results in $${\mathcal {C}}^0$$ symplectic geometry
  9. Convexes divisibles IV : Structure du bord en dimension 3
  10. The classification of irreducible admissible mod p representations of a p -adic GL n
  11. Some prime factorization results for type II 1 factors
  12. $\mathcal{C}^{2}$ surface diffeomorphisms have symbolic extensions
  13. On the weights of mod p Hilbert modular forms
  14. Operator-algebraic superridigity for SL n (ℤ), n ≥3
  15. Exceptional zero formulae and a conjecture of Perrin-Riou
  16. F-singularities of pairs and Inversion of Adjunction of arbitrary codimension
  17. Knot homology via derived categories of coherent sheaves II, $\mathfrak{sl}_{m}$ case
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