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Surfaces of general type with pg=1, q=0, K2=6 and grassmannians
journal contributionposted on 25.02.2020 by Enrico Fatighenti
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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.
Ministero dell'Istruzione, dell'Università e della Ricerca. Grant Number: FIRB 2012 “Moduli spaces and their applications”
- Mathematical Sciences