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- W2510679402 abstract "Let ${mathcal Q}_n^d$ be the vector space of homogeneous forms of degree $dge 3$ on ${mathbb C}^n$, with $nge 2$. The object of our study is the map $Phi$, introduced in earlier articles by J. Alper, M. Eastwood and the author, that assigns to every form for which the discriminant $Delta$ does not vanish the so-called associated form lying in the space ${mathcal Q}_n^{n(d-2)*}$. This map is a morphism from the affine variety $X_n^d:={fin{mathcal Q}_n^d:Delta(f)ne 0}$ to the affine space ${mathcal Q}_n^{n(d-2)*}$. Letting $p$ be the smallest integer for which the product $Delta^pPhi$ extends to a morphism from ${mathcal Q}_n^d$ to ${mathcal Q}_n^{n(d-2)*}$, one observes that the extended map defines a contravariant of forms in ${mathcal Q}_n^d$. In the present paper we obtain upper bounds for $p$ thus providing estimates for the contravariant's degree." @default.
- W2510679402 created "2016-09-16" @default.
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- W2510679402 date "2016-08-26" @default.
- W2510679402 modified "2023-09-27" @default.
- W2510679402 title "On the contravariant of homogeneous forms arising from isolated hypersurface singularities" @default.
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