{"id":{"repo_id":"houston","oai_identifier":"oai:uh-ir.tdl.org:10657/19542"},"canonical_url":"https://search.dev.ndltd.org/etd/houston/oai:uh-ir.tdl.org:10657/19542","repository":{"repo_id":"houston","name":"University of Houston","base_url":"https://uh-ir.tdl.org/server/oai/request"},"display":{"title":"Non-integrated Defect Relations for General Divisors","abstract":"In my dissertation, I establish two non-integrated defect relations. The first applies to meromorphic maps from a Kahler manifold, whose universal covering is a ball, into a projective variety that intersects general divisors properly. This is achieved by incorporating the beta constants into the defect relation. The second pertains to holomorphic maps from a complete open Riemann surface into a smooth projective variety, intersecting a generic smooth hypersurface of sufficiently high degree.","abstract_html":"In my dissertation, I establish two non-integrated defect relations. The first applies to meromorphic maps from a Kahler manifold, whose universal covering is a ball, into a projective variety that intersects general divisors properly. This is achieved by incorporating the beta constants into the defect relation. The second pertains to holomorphic maps from a complete open Riemann surface into a smooth projective variety, intersecting a generic smooth hypersurface of sufficiently high degree.","abstract_has_math":false,"creators":["Yang, Chin-Jui 1994-"],"institution":"University of Houston","degree_name":"Doctor of Philosophy","degree_level":null,"degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":[],"advisors":["Ru, Min"],"committee_chairs":[],"committee_members":["Feng, Qianmei","Ji, Shanyu","Heier, Gordon"],"year":2025,"date_issued":"2025-05","date_published":"2025-05","updated_at":"2026-07-24T02:32:32Z","subjects":["Mathematics"],"languages":["English"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/10657/19542","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Ru, Min"]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Feng, Qianmei","Ji, Shanyu","Heier, Gordon"]},{"key":"dc:creator","label":"Author","values":["Yang, Chin-Jui 1994-"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2025-06-23T00:24:01Z"]},{"key":"dc:date.issued","label":"Date","values":["2025-05"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Houston"]}]},{"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.iso","label":"Language (ISO)","values":["English"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/10657/19542"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In my dissertation, I establish two non-integrated defect relations. The first applies to meromorphic maps from a Kahler manifold, whose universal covering is a ball, into a projective variety that intersects general divisors properly. This is achieved by incorporating the beta constants into the defect relation. The second pertains to holomorphic maps from a complete open Riemann surface into a smooth projective variety, intersecting a generic smooth hypersurface of sufficiently high degree."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Non-integrated Defect Relations for General Divisors"]}]}],"canonical_facts":{"dc:contributor.advisor":["Ru, Min"],"dc:contributor.committeemember":["Feng, Qianmei","Ji, Shanyu","Heier, Gordon"],"dc:creator":["Yang, Chin-Jui 1994-"],"dc:date.accessioned":["2025-06-23T00:24:01Z"],"dc:date.issued":["2025-05"],"dc:description.abstract":["In my dissertation, I establish two non-integrated defect relations. The first applies to meromorphic maps from a Kahler manifold, whose universal covering is a ball, into a projective variety that intersects general divisors properly. This is achieved by incorporating the beta constants into the defect relation. The second pertains to holomorphic maps from a complete open Riemann surface into a smooth projective variety, intersecting a generic smooth hypersurface of sufficiently high degree."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["https://hdl.handle.net/10657/19542"],"dc:language.iso":["English"],"dc:subject":["Mathematics"],"dc:title":["Non-integrated Defect Relations for General Divisors"],"dc:type":["Thesis"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_name":["Doctor of Philosophy"],"thesis:institution_name":["University of Houston"]},"updated_at":"2026-07-24T02:32:32Z"}