Birational geometry of the moduli space of quartic surfaces

DOI10.1112/S0010437X19007516zbMath1429.14009arXiv1607.01324OpenAlexW2465550766MaRDI QIDQ5227731

Radu Laza, Kieran G. O'Grady

Publication date: 7 August 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01324

zbMATH Keywords

compactificationsperiodsmoduli$K3$ surfaces

Mathematics Subject Classification ID

Geometric invariant theory (14L24) (K3) surfaces and Enriques surfaces (14J28) Algebraic moduli problems, moduli of vector bundles (14D20) Families, moduli, classification: algebraic theory (14J10)

Related Items (10)

K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES ⋮ Deligne-Beilinson cohomology of the universal K3 surface ⋮ K-stability and birational models of moduli of quartic \(K3\) surfaces ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ GIT versus Baily-Borel compactification for \(K3\)'s which are double covers of \(\mathbb{P}^1 \times \mathbb{P}^1\) ⋮ Hodge theory of degenerations. I: Consequences of the decomposition theorem ⋮ Automorphisms and periods of cubic fourfolds ⋮ Degenerated Calabi-Yau varieties with infinite components, moduli compactifications, and limit toroidal structures ⋮ PL DENSITY INVARIANT FOR TYPE II DEGENERATING K3 SURFACES, MODULI COMPACTIFICATION AND HYPER-KÄHLER METRIC ⋮ Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models

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