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.
On the equation of degree 6 / DE CONCINI, Corrado; Procesi, Claudio; M., Salvetti. - In: COMMENTARII MATHEMATICI HELVETICI. - ISSN 0010-2571. - 79:3(2004), pp. 605-617. [10.1007/s00014-004-0809-x]
On the equation of degree 6
DE CONCINI, Corrado;PROCESI, Claudio;
2004
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.File allegati a questo prodotto
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