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- W4294672278 abstract "In previous work, we have introduced a program aimed at studying the birational geometry of locally symmetric varieties of Type IV associated to moduli of certain projective varieties of K3 type. In particular, a concrete goal of our program is to understand the relationship between GIT and Baily-Borel compactifications for quartic K3 surfaces, K3's which are double covers of a smooth quadric surface, and double EPW sextics. In our first paper (arXiv:1607.01324), based on arithmetic considerations, we have given conjectural decompositions into simple birational transformations of the period maps from the GIT moduli spaces mentioned above to the corresponding Baily-Borel compactifications. In our second paper (arXiv:1612.07432) we studied the case of quartic K3's; we have given geometric meaning to this decomposition and we have partially verified our conjectures. Here, we give a full proof of our conjectures for the moduli space of K3's which are double covers of a smooth quadric surface. The main new tool here is VGIT for (2,4) complete intersection curves." @default.
- W4294672278 created "2022-09-06" @default.
- W4294672278 creator A5020748889 @default.
- W4294672278 creator A5045156981 @default.
- W4294672278 date "2018-01-15" @default.
- W4294672278 modified "2023-10-17" @default.
- W4294672278 title "GIT versus Baily-Borel compactification for $K3$'s which are double covers of $mathbb P^1timesmathbb P^1$" @default.
- W4294672278 doi "https://doi.org/10.48550/arxiv.1801.04845" @default.
- W4294672278 hasPublicationYear "2018" @default.
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