{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:56C7C5N5OKE2COJC5ICAOCXSAZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c29365d7463de0520f7d02ebffa1abf0c0f32668960ca8a924edd47961122c69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-01T09:48:37Z","title_canon_sha256":"44437907443329af0ecaafcb5107014bb442f81ad2e9dfd6465cdca1daeda086"},"schema_version":"1.0","source":{"id":"1210.0324","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0324","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0324v1","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0324","created_at":"2026-05-18T03:44:22Z"},{"alias_kind":"pith_short_12","alias_value":"56C7C5N5OKE2","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"56C7C5N5OKE2COJC","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"56C7C5N5","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:a73ed311bf75867a4bf3b3c98fcb8f8db1831237485a2328384d1f08995bfe31","target":"graph","created_at":"2026-05-18T03:44:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this thesis we looked into three different problems which share, as a common factor, the exstensive use of the Fourier--Mukai transform as research tool. In the first Part we investigated the syzygies of Kummer varieties (i.e. quotients of abelian varieties by the $\\mathbb{Z}/2\\Z$-action induced by the group operation), extending to higher syzygies results on projective normality and degree of equations of Sasaki, Kempf, and Khaled. The second Part of this Thesis (partially written in collaboration with Z.Jiang and M. Lahoz) is dedicated to the study of pluricanonical linear systems on vari","authors_text":"Sofia Tirabassi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-01T09:48:37Z","title":"Syzygies, Pluricanonical Maps, and the Birational Geometry of Varieties of Maximal Albanese Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0324","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:03a07a6634d902cf77c7abedc75e7c29cd656cd16027b7bdc83c68317e7eec9c","target":"record","created_at":"2026-05-18T03:44:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c29365d7463de0520f7d02ebffa1abf0c0f32668960ca8a924edd47961122c69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-01T09:48:37Z","title_canon_sha256":"44437907443329af0ecaafcb5107014bb442f81ad2e9dfd6465cdca1daeda086"},"schema_version":"1.0","source":{"id":"1210.0324","kind":"arxiv","version":1}},"canonical_sha256":"ef85f175bd7289a13922ea04070af206458d3ab8d0099533716bd4d4bc7a5744","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef85f175bd7289a13922ea04070af206458d3ab8d0099533716bd4d4bc7a5744","first_computed_at":"2026-05-18T03:44:22.732667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:22.732667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"78vmWwQof5WyBu7YeLLlkvEFbhIGd+EkUQOxGoMoX/ZkebGzxh+kffqDKet3cthFXMdjQXQjvCPKh1K4SRMiCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:22.733241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0324","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03a07a6634d902cf77c7abedc75e7c29cd656cd16027b7bdc83c68317e7eec9c","sha256:a73ed311bf75867a4bf3b3c98fcb8f8db1831237485a2328384d1f08995bfe31"],"state_sha256":"1c0298677b7cfb1c9ec1d02c467c2a240abd01f5569b55b1bc36abec61508223"}