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arxiv: 1806.07859 · v2 · pith:FT5S6ZBHnew · submitted 2018-06-20 · 🧮 math.AG

Geometry of Schreieder's varieties and some elliptic and K3 moduli curves

classification 🧮 math.AG
keywords schreiedersurfacesellipticgeometryvarietiesclassconstructedcurves
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We study the geometry of a class of $n$-dimensional smooth projective varieties constructed by Schreieder for their noteworthy Hodge-theoretic properties. In particular, we realize Schreieder's surfaces as elliptic modular surfaces and Schreieder's threefolds as one-dimensional families of Picard rank $19$ $K3$ surfaces.

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