{"paper":{"title":"On the contravariant of homogeneous forms arising from isolated hypersurface singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander Isaev","submitted_at":"2016-08-26T23:31:56Z","abstract_excerpt":"Let ${\\mathcal Q}_n^d$ be the vector space of homogeneous forms of degree $d\\ge 3$ on ${\\mathbb C}^n$, with $n\\ge 2$. 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 $X_n^d:=\\{f\\in{\\mathcal Q}_n^d:\\Delta(f)\\ne 0\\}$ to the affine space ${\\mathcal Q}_n^{n(d-2)*}$. Letting $p$ be the smallest integer for which the product $\\Delta^p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.07627","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}