Skip to main content
SpringerLink
Log in

On Segre's product of partial line spaces and spaces of pencils

  • Published:
Journal of Geometry Aims and scope Submit manuscript

Abstract.

In this paper we prove that every collineation of the Segre product of strongly connected partial line spaces is (up to permutation of indices) the product of collineations of its components (Thm. 1.10). Spaces of pencils are strongly connected, so the claim holds for Segre products of them (Thm. 1.14). In the second part we study the extendability of collineations of Segre products of spaces of pencils under some natural embeddings.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Institute of Mathematics, University in Białystok, ul Akademicka 2, 15-267 Białystok, Poland, , , , , , PL

    Adam Naumowicz & Krzysztof Prażmowski

Authors
  1. Adam Naumowicz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Krzysztof Prażmowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received 4 Mai 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Naumowicz, A., Prażmowski, K. On Segre's product of partial line spaces and spaces of pencils. J.Geom. 71, 128–143 (2001). https://doi.org/10.1007/s00022-001-8557-1

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00022-001-8557-1

Search

Navigation