Surfaces of general type with pg=1, q=0, K2=6 and grassmannians
journal contributionposted on 2020-02-25, 11:34 authored by Enrico Fatighenti
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
Published inMathematische Nachrichten
Pages88 - 100
- AM (Accepted Manuscript)
Rights holder© WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
Publisher statementThis is the peer reviewed version of the following article: FATIGHENTI, E., 2019. Surfaces of general type with pg=1, q=0, K2=6 and grassmannians. Mathematische Nachrichten, 293 (1), pp.88-100, which has been published in final form at https://doi.org/10.1002/mana.201800153. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.