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B-branes on these hybrid models can be seen as global matrix factorizations over some compact space $B$ or, equivalently, as the derived category of the sheaf of $\\mathcal{A}$-modules on $B$, where $\\mathcal{A}$ is an $A_{\\infty}$ algebra. This latter interpretation corresponds to a noncommutative resolution of $B$. We compute"},"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":"2111.00025","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-29T18:00:21Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b2f07fcba348fa8e0b8168ffbc59396b93ba2251070195d20f01fcf124986986","abstract_canon_sha256":"aa52ce67750f0342590cf180d1edcc7b004f5275e2d244cbad6f57682028374b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:20:33.133611Z","signature_b64":"sGylqFdWg0T4gl2Fi5CHzAbPhwXFNhTckfNVqdh+uCTYV3bmGm63C4KtAPVSHCoBRcb48KXym1LLgtMEbZJqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02c150117d51eafe6c1b2ea4ddf66fdc96439066a48ae0cf6a579a3234836594","last_reissued_at":"2026-07-05T05:20:33.133168Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:20:33.133168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hybrid models for homological projective duals and noncommutative resolutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Jirui Guo, Mauricio Romo","submitted_at":"2021-10-29T18:00:21Z","abstract_excerpt":"We study hybrid models arising as homological projective duals (HPD) of certain projective embeddings $f:X\\rightarrow\\mathbb{P}(V)$ of Fano manifolds $X$. More precisely, the category of B-branes of such hybrid models corresponds to the HPD category of the embedding $f$. B-branes on these hybrid models can be seen as global matrix factorizations over some compact space $B$ or, equivalently, as the derived category of the sheaf of $\\mathcal{A}$-modules on $B$, where $\\mathcal{A}$ is an $A_{\\infty}$ algebra. This latter interpretation corresponds to a noncommutative resolution of $B$. 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