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.
Surfaces of general type with pg=1, q=0, K2=6 and grassmannians / Fatighenti, E. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - 293:1(2020), pp. 88-100. [https://doi.org/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 allegati a questo prodotto
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