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ASSOCIATED FORMS OF BINARY QUARTICS AND TERNARY CUBICS

Alper, Jarod; Isaev, Alexander; Kruzhilin, N G

Description

Let (Formula presented.) be the vector space of forms of degree d ≥ 3 on ℂn, with n ≥ 2. The object of our study is the map Φ, introduced in earlier articles by M. Eastwood and the first two authors, that assigns every nondegenerate form in (Formula presented.) the so-called associated form, which is an element of (Formula presented.). We focus on two cases: those of binary quartics (n = 2, d = 4) and ternary cubics (n = 3, d = 3). In these situations the map Φ induces a rational equivariant...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
URI: http://hdl.handle.net/1885/103321
Source: Transformation Groups
DOI: 10.1007/s00031-015-9343-8

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