On semi†isogenous mixed surfaces

Nicola Cancian and Davide Frapporti

Mathematische Nachrichten, 2018, vol. 291, issue 2-3, 264-283

Abstract: Let C be a smooth projective curve and G be a finite subgroup of Aut (C)2⋊Z2 whose action is mixed, i.e. there are elements in G exchanging the two isotrivial fibrations of C×C. Let G0◃G be the index two subgroup G∩ Aut (C)2. If G0 acts freely, then X:=(C×C)/G is smooth and we call it semi†isogenous mixed surface. In this paper we give an algorithm to determine semi†isogenous mixed surfaces with given geometric genus, irregularity and self†intersection of the canonical class. As an application we classify irregular semi†isogenous mixed surfaces with K2>0 and geometric genus equal to the irregularity; the regular case is subjected to some computational restrictions. In this way we construct new examples of surfaces of general type with χ=1. We provide an example of a minimal surface of general type with K2=7 and pg=q=2.

Date: 2018
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.201600436

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:2-3:p:264-283

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().