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.
Fatighenti E. (2020). Surfaces of general type with pg=1, q=0, K2=6 and grassmannians. MATHEMATISCHE NACHRICHTEN, 293(1), 88-100 [10.1002/mana.201800153].
Surfaces of general type with pg=1, q=0, K2=6 and grassmannians
Fatighenti E.
2020
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.File in questo prodotto:
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Surfaces of general type with 𝒑𝒈 = 𝟏, 𝒒 = 𝟎, 𝑲𝟐 = 𝟔 and grassmannians.pdf
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