Surfaces of general type with pg=1, q=0, K2=6 and grassmannians
journal contribution
posted on 2020-02-25, 11:34 authored by Enrico FatighentiWe 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.
Funding
Ministero dell'Istruzione, dell'Università e della Ricerca. Grant Number: FIRB 2012 “Moduli spaces and their applications”
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School
- Science
Department
- Mathematical Sciences
Published in
Mathematische NachrichtenVolume
293Issue
1Pages
88 - 100Publisher
WileyVersion
- AM (Accepted Manuscript)
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© WILEY‐VCH Verlag GmbH & Co. KGaA, WeinheimPublisher statement
This 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.Acceptance date
2019-04-17Publication date
2019-11-14Copyright date
2019ISSN
0025-584XeISSN
1522-2616Publisher version
Language
- en
Depositor
Dr Enrico Fatighenti. Deposit date: 22 February 2020Usage metrics
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