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Let $\\mathcal{K}$ be the kernel of the canonical map $\\alpha: \\text{Sym}(I) \\rightarrow \\text{Rees}(I)$ from the symmetric algebra of $I$ onto the Rees algebra of $I$. We prove that $\\mathcal{K}$ can be described as the solution set of a system of differential equations, that the whole bigraded"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.06215","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-06-19T23:26:09Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"46ed45fcb2f0b771f79fc6ef739e178c32805a6246922e9c8569702bfd221069","abstract_canon_sha256":"71489ec8a12240bfea5ff245894c31e3b8411fcfbd7ad274cb2135635c9ee5d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:42.234039Z","signature_b64":"x8WHWnu9ib7vvuKji0wMoHhID6AI1jipP/BFaLXTKgjnvqFujktYUiSKKuHNv7Qn4YL3FezlxM/6cb1qJGMRDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a79cf7d65423dd66e8d9f64e115f8a46faea9d79d572595dd15329cf3af5a38","last_reissued_at":"2026-05-18T00:09:42.233344Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:42.233344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A $D$-module approach on the equations of the Rees algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Yairon Cid-Ruiz","submitted_at":"2017-06-19T23:26:09Z","abstract_excerpt":"Let $I \\subset R = \\mathbb{F}[x_1,x_2]$ be a height two ideal minimally generated by three homogeneous polynomials of the same degree $d$, where $\\mathbb{F}$ is a field of characteristic zero. 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