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Moreover, we show that such an $S$ supports families of dimension $p$ of pairwise non-isomorphic, indecomposable, Ulrich bundles for arbitrary large $p$ except for very few cases. We also show that the same is true for linearly normal non-special surface in $\\mathbb P^4$ of degree at least $4$, Enriques surface and anticanonical r"},"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":"1609.07915","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-26T10:32:59Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"2d6cad4fb23a668edd9d14f53f7c45ecd93eb8fbeb5fe4f302e7e28075d7a00a","abstract_canon_sha256":"d8ec31e14f5e7d7aa331abd482c71a81fcadff1f96ae6a29f3c0c67a8fcf5e35"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:56.900428Z","signature_b64":"ezud1H59GBnV6h6+EbZ0eml0oOFYDhgeYBDng3llbbFbWuo4w0ZnWOdU7OUWAgIZLHE+JtGGfl+zaf7eLRRWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb6b84ec04f9064746739e74482eb87cfb5d47c0d160af3efd722973ce168dea","last_reissued_at":"2026-05-18T00:39:56.899939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:56.899939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Special Ulrich bundles on non-special surfaces with $p_g=q=0$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Gianfranco Casnati","submitted_at":"2016-09-26T10:32:59Z","abstract_excerpt":"Let $S$ be a surface with $p_g(S)=q(S)=0$ and endowed with a very ample line bundle $\\mathcal O_S(h)$ such that $h^1\\big(S,\\mathcal O_S(h)\\big)=0$. 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