On the equation of degree 6

Corrado De Concini; Claudio Procesi; Mario Salvetti

doi:10.1007/s00014-004-0809-x

JournalscmhVol. 79, No. 3pp. 605–617

On the equation of degree 6

Corrado De Concini
Università di Roma La Sapienza, Italy
- zbMATH Open
Claudio Procesi
Università di Roma La Sapienza, Italy
- MathSciNet
- zbMATH Open
Mario Salvetti
Università di Pisa, Italy
- MathSciNet
- zbMATH Open

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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.

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Corrado De Concini, Claudio Procesi, Mario Salvetti, On the equation of degree 6. Comment. Math. Helv. 79 (2004), no. 3, pp. 605–617

DOI 10.1007/S00014-004-0809-X