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Surfaces of general type with pg=1, q=0, K2=6 and grassmannians

journal contribution
posted on 25.02.2020 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.

Funding

Ministero dell'Istruzione, dell'Università e della Ricerca. Grant Number: FIRB 2012 “Moduli spaces and their applications”

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Mathematische Nachrichten

Volume

293

Issue

1

Pages

88 - 100

Publisher

Wiley

Version

AM (Accepted Manuscript)

Rights holder

© WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

Publisher 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

17/04/2019

Publication date

2019-11-14

Copyright date

2019

ISSN

0025-584X

eISSN

1522-2616

Language

en

Depositor

Dr Enrico Fatighenti. Deposit date: 22 February 2020

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