{"id":{"repo_id":"buffalo","oai_identifier":"oai:ubir.buffalo.edu:10477/86445"},"canonical_url":"https://search.dev.ndltd.org/etd/buffalo/oai:ubir.buffalo.edu:10477/86445","repository":{"repo_id":"buffalo","name":"Buffalo","base_url":"https://ubir.buffalo.edu/oai/request"},"display":{"title":"Lefschetz Theorem for Holomorphic One-Forms on Weakly 1-Complete Manifolds","abstract":"Ph.D.","abstract_html":"Ph.D.","abstract_has_math":false,"creators":["Zhou, Chen"],"institution":"State University of New York at Buffalo","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Ramachandran, Mohan","Mathematics"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2025,"date_issued":"2025-02-21T17:22:30Z","date_published":"2025-02-21T17:22:30Z","updated_at":"2026-07-27T19:05:32Z","subjects":["mathematics"],"languages":["eng"],"rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10477/86445","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Ramachandran, Mohan","Mathematics"]},{"key":"dc:creator","label":"Author","values":["Zhou, Chen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2025-02-21T17:22:30Z","2020"]},{"key":"dc:publisher","label":"Institution","values":["State University of New York at Buffalo"]},{"key":"dc:type","label":"Dc Type","values":["Text","Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/10477/86445"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Ph.D.","For a holomorphic one-form ω on a weakly 1-complete manifold X with certain properties, we discussed the connectivity of the pair (Xˆ , F−1(z)), where π ∶ Xˆ → X is a covering map and F is a holomorphic function on Xˆ such that dF = π∗ω. We also discussed the criteria about when such a manifold X admits a proper holomorphic mapping onto a Riemann surface.","**To request an accessible version of the file(s) associated with this item, contact library@buffalo.edu. Please include the item's persistent URL [http://hdl.handle.net/. . .] in your request.**"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Lefschetz Theorem for Holomorphic One-Forms on Weakly 1-Complete Manifolds"]}]}],"canonical_facts":{"dc:contributor":["Ramachandran, Mohan","Mathematics"],"dc:creator":["Zhou, Chen"],"dc:date":["2025-02-21T17:22:30Z","2020"],"dc:description":["Ph.D.","For a holomorphic one-form ω on a weakly 1-complete manifold X with certain properties, we discussed the connectivity of the pair (Xˆ , F−1(z)), where π ∶ Xˆ → X is a covering map and F is a holomorphic function on Xˆ such that dF = π∗ω. We also discussed the criteria about when such a manifold X admits a proper holomorphic mapping onto a Riemann surface.","**To request an accessible version of the file(s) associated with this item, contact library@buffalo.edu. Please include the item's persistent URL [http://hdl.handle.net/. . .] in your request.**"],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/10477/86445"],"dc:language":["eng"],"dc:publisher":["State University of New York at Buffalo"],"dc:rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"dc:subject":["mathematics"],"dc:title":["Lefschetz Theorem for Holomorphic One-Forms on Weakly 1-Complete Manifolds"],"dc:type":["Text","Dissertation"]},"updated_at":"2026-07-27T19:05:32Z"}