Skip to main content
SpringerLink
Log in

On the equation of degree 6

  • Original paper
  • Published:
Commentarii Mathematici Helvetici

Abstract

In this paper we study the Schwarz genus for the covering of the space of polynomials with distinct roots by its roots.

We show that, for the first unknown case (degree 6), the genus is strictly less than the one predicted by dimension arguments, contrary to what happens in all other reflection groups.

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. Dipartimento di Matematica, Università di Roma ‘‘La Sapienza’‘, Roma, Italy

    C. De Concini

  2. Dipartimento di Matematica, Università di Roma ‘‘La Sapienza’‘, Roma, Italy

    C. Procesi

  3. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    M. Salvetti

Authors
  1. C. De Concini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Procesi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Salvetti
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. De Concini.

Rights and permissions

Reprints and permissions

About this article

Cite this article

De Concini, C., Procesi, C. & Salvetti, M. On the equation of degree 6 . Comment. Math. Helv. 79, 605–617 (2004). https://doi.org/10.1007/s00014-004-0809-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00014-004-0809-x

Mathematics Subject Classification (2000)

Keywords.

Search

Navigation