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Surfaces of general type with pg=1, q=0, K2=6 and grassmannians

Enrico Fatighenti

Mathematische Nachrichten, 2020, vol. 293, issue 1, 88-100

Abstract: We construct examples of surfaces of general type with pg=1, q=0 and K2=6. We use as key varieties Fano fourfolds and Calabi–Yau threefolds that are zero section of some special homogeneous vector bundle on Grassmannians. We link as well our construction to a classical Campedelli surface, using the Pfaffian–Grassmannian correspondence.

Date: 2020
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https://doi.org/10.1002/mana.201800153

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