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We determine all irreducible homogeneous Ulrich bundles on $\\FF(0,n-1,n)$ and we prove that there are exactly $2^{n-1}$. Similarly, we prove that $\\FF(0,n-2,n)$ and $\\FF(1,n-1,n)$ are also the support of irreducible homogeneous Ulrich bundles. On the other hand, we prove that $\\FF(0,1,n)$ do not"},"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":"1506.03586","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-11T08:44:34Z","cross_cats_sorted":[],"title_canon_sha256":"d948cda568992ec5babae4571b5644b10a2b4b635d14270b4d1ddac28d20d1ae","abstract_canon_sha256":"598eaf22863b0eafc23ff49a62ebe7c387874d9f01fc482edae381ed86b82483"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:50.644009Z","signature_b64":"66GXS3BJrLg8arJWFY9dEqOYKxoyIBOnP6RpCuYR6wP9QumhT48GMQlnz7Q8XoewnL5RcUHdJtgebwDPT8AmCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62a37282f0c4ad5c6d4c43cfda490ed9db321a73e863bc531a84f2360586024a","last_reissued_at":"2026-05-18T01:23:50.643491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:50.643491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogeneous Ulrich bundles on Flag manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"L. Costa, R.M. Mir\\'o-Roig","submitted_at":"2015-06-11T08:44:34Z","abstract_excerpt":"Let $V$ be a $K$-vector space of dimension $n+1$. In this paper, we focus our attention into the existence of irreducible homogeneous Ulrich bundles on flag manifolds $\\FF(p, q,n)$ which parameterizes all chains of linear subspaces $L_{p} \\subset L_{q} \\subset \\PP(V)$ of dimension $p< q$, respectively. We determine all irreducible homogeneous Ulrich bundles on $\\FF(0,n-1,n)$ and we prove that there are exactly $2^{n-1}$. Similarly, we prove that $\\FF(0,n-2,n)$ and $\\FF(1,n-1,n)$ are also the support of irreducible homogeneous Ulrich bundles. 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