37 citations · 188 across the 35 of their papers we have counts for
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math.AG2017★ 4 cited
The Kuga-Satake construction under degeneration
Stefan Schreieder, Andrey Soldatenkov
We extend the Kuga-Satake construction to the case of limit mixed Hodge structures of K3 type. We use this to study the geometry and Hodge theory of degenerations of Kuga-Satake ab…
math.AG2017★ 19 cited
Quadric surface bundles over surfaces and stable rationality
Stefan Schreieder
We prove a general specialization theorem which implies stable irrationality for a wide class of quadric surface bundles over rational surfaces. As an application, we solve with th…
math.AG2017★ 22 cited
On the rationality problem for quadric bundles
Stefan Schreieder
We classify all positive integers n and r such that (stably) non-rational complex r-fold quadric bundles over rational n-folds exist. We show in particular that for any n and r, a…