16 citations · 24 across the 13 of their papers we have counts for
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math.AG2016
On Z/3-Godeaux surfaces
Stephen Coughlan, Giancarlo Urzúa
We prove that Godeaux--Reid surfaces with torsion group Z/3 have topological fundamental group Z/3. For this purpose, we describe degenerations to stable KSBA surfaces with one 1/4…
math.AG2016
Arithmetically Gorenstein Calabi-Yau threefolds in
Stephen Coughlan, Lukasz Golebiowski, Grzegorz Kapustka +1
We present a list of arithmetically Gorenstein Calabi-Yau threefolds in and give evidence that this is a complete list. In particular we construct three new families…
math.AG2016
Smoothing cones over K3 surfaces
Stephen Coughlan, Taro Sano
We prove that the affine cone over a general primitively polarised K3 surface of genus g is smoothable if and only if g\le 10 or g=12. We also give several examples of singularitie…