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We calculate some Hodge invariants for this variation, in particular, the Hodge numbers. From this we derive a conjecture of Corti and Golyshev."},"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":"1505.01704","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-07T13:52:05Z","cross_cats_sorted":[],"title_canon_sha256":"ecc3a7c56c3d84586b4f9fc826475ea76989cdce49ec7b265b0528cafcb5df1a","abstract_canon_sha256":"fa6e2e9156ddf7861b5bd5fabb6165e3a75e69a3cdcde29da5443d5a3e728137"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:13.944385Z","signature_b64":"orlRjp9WvVK/MYTA2ytuGCOd373YGGPHjNKD5GHvXG8UbpN4PA3gXCQ69yJbrD1ybTSqiAPS17g2C6lRbDWlCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e194ece1fa0ffb6cdb9d4bb70ae39f136728fc6e6f6112bf18a017556dbb461","last_reissued_at":"2026-05-18T00:02:13.943782Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:13.943782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variations of Hodge structures for hypergeometric differential operators and parabolic Higgs bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Roman Fedorov","submitted_at":"2015-05-07T13:52:05Z","abstract_excerpt":"Consider the holomorphic bundle with connection on $\\mathbb P^1-\\{0,1,\\infty\\}$ corresponding to the regular hypergeometric differential operator \\[\n  \\prod_{j=1}^h(D-\\alpha_j)-z\\prod_{j=1}^h(D-\\beta_j), \\qquad D=z\\frac{d}{dz}. \\] If the numbers $\\alpha_i$ and $\\beta_j$ are real and for all $i$ and $j$ the number $\\alpha_i-\\beta_j$ is not integer, then the bundle with connection is known to underlie a complex polarizable variation of Hodge structures. We calculate some Hodge invariants for this variation, in particular, the Hodge numbers. 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