Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Real structures on rational surfaces and automorphisms acting trivially on Picard groups

Abstract : In this article, we prove that any complex smooth rational surface X which cannot be obtained by blowing up $\mathbb P^2_{\mathbb C}$ at $r\geq 10$ points has a finite number of real forms, owing to simple results about the group $\mathrm{Aut}^{\#}X$ of complex automorphisms of X which act trivially on the Picard group of X.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-01063471
Contributor : Mohamed Benzerga Connect in order to contact the contributor
Submitted on : Friday, September 12, 2014 - 11:10:53 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:53 AM

Links full text

Identifiers

  • HAL Id : hal-01063471, version 1
  • ARXIV : 1409.3490

Collections

Citation

Mohamed Benzerga. Real structures on rational surfaces and automorphisms acting trivially on Picard groups. 2014. ⟨hal-01063471⟩

Share

Metrics

Record views

144