Moduli of K3 Surfaces and Complex Ball Quotients

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Moduli of K3 Surfaces and Irreducible Symplectic Manifolds (2010, methodology): “In the introduction to [28] it is conjectured that all Deligne-Mostow arithmetic complex ball quotients are moduli spaces of K3 surfaces.”
Special cycles on unitary Shimura varieties II: global theory (2009, background): “In [18, 19, 58], hidden period morphisms are often set in comparison with the Deligne-Mostow theory which establishes a relation between configuration spaces (e.”
Curves on K3 surfaces and modular forms (2010, background): “d class suppresses contributions from stable maps with disconnected domains. 4 The moduli space of quasi-polarized K3 surfaces with hβ,βi = 2h − 2 is connected (and, in fact, is a ball quotient), see [9]. 4 MAULIK,PANDHARIPANDE,THOMAS,PIXTON By Theorem 1, the invariants rg,h are integers. The formul”
Lectures on K3 Surfaces (2016, methodology): “See also [152], [199], [203], [434] for other recent topics related to moduli spaces of K3 surfaces.”
Gromov-Witten theory and Noether-Lefschetz theory (2007, background): “, and let Γv ⊂ Γ be the subgroup ﬁxing v. The moduli space of quasi-polarized K3 surfaces of degree l is the quotient Ml = MV v /Γv. The moduli space is a nonsingular orbifold. We refer the reader to [14] for a more detailed discussion. In case △l(h,d) 6= 0, the above construction of Ml shows the de”