Corrado De Concini, Claudio Procesi, Mario Salvetti
Abstract
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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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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.
Key concepts: Mathematics, Degree (music), Genus, Dimension (graph theory), Pure mathematics, Space (punctuation), Combinatorics, Zoology