{"id":"https://openalex.org/W7162672084","doi":"https://doi.org/10.48550/arxiv.2605.27574","title":"Weighted Seshadri constants and ellipsoid embeddings","display_name":"Weighted Seshadri constants and ellipsoid embeddings","publication_year":2026,"publication_date":"2026-05-26","ids":{"openalex":"https://openalex.org/W7162672084","doi":"https://doi.org/10.48550/arxiv.2605.27574"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2605.27574","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.27574","pdf_url":"https://arxiv.org/pdf/2605.27574","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2605.27574","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073832784","display_name":"J. D. Evans","orcid":"https://orcid.org/0000-0001-9000-8484","observed_orcids":["https://orcid.org/0000-0001-9000-8484"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Evans, Jonathan David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5073832784"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.5640000104904175,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.5640000104904175,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.3788999915122986,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.026599999517202377,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/seshadri-constants","display_name":"Seshadri constants","score":0.9300000071525574},{"id":"https://openalex.org/keywords/weighted-blow-ups","display_name":"weighted blow-ups","score":0.9789999723434448},{"id":"https://openalex.org/keywords/symplectic-embeddings","display_name":"symplectic embeddings","score":0.8539999723434448},{"id":"https://openalex.org/keywords/ellipsoids","display_name":"ellipsoids","score":0.8659999966621399},{"id":"https://openalex.org/keywords/complex-projective-varieties","display_name":"complex projective varieties","score":0.6439999938011169},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"symplectic geometry","score":0.6140000224113464}],"concepts":[{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.8440999984741211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7149999737739563},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5659999847412109},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.557200014591217},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5418000221252441},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.527899980545044},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46399998664855957},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.3734999895095825},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.3077999949455261},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.2980000078678131},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28940001130104065},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.2596000134944916}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2605.27574","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.27574","pdf_url":"https://arxiv.org/pdf/2605.27574","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2605.27574","doi":"https://doi.org/10.48550/arxiv.2605.27574","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.27574","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2605.27574","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.27574","pdf_url":"https://arxiv.org/pdf/2605.27574","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G392150068","display_name":"New Frontiers in Symplectic Topology","funder_award_id":"EP/W015749/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7162672084.pdf","grobid_xml":"https://content.openalex.org/works/W7162672084.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7097523091","https://openalex.org/W7100670704","https://openalex.org/W4394670984","https://openalex.org/W6891698309","https://openalex.org/W4293237165","https://openalex.org/W2206022511","https://openalex.org/W3021471862","https://openalex.org/W2607987684","https://openalex.org/W1769592171","https://openalex.org/W4416360843"],"abstract_inverted_index":{"We":[0,25],"explore":[1],"Seshadri":[2],"constants":[3],"associated":[4],"to":[5,15,19,45],"weighted":[6],"blow-ups":[7],"of":[8,23,29,32,37,40,47,52,60],"complex":[9],"projective":[10],"varieties":[11],"and":[12,56],"demonstrate":[13],"how":[14],"use":[16],"this":[17,30],"notion":[18],"construct":[20],"symplectic":[21],"embeddings":[22,59],"ellipsoids.":[24,63],"illustrate":[26],"the":[27,48,53],"utility":[28],"point":[31],"view":[33],"by":[34,42],"providing":[35],"constructions":[36],"full":[38],"fillings":[39],"$\\mathbb{CP}^2$":[41],"ellipsoids":[43,61],"corresponding":[44],"all":[46],"exceptional":[49],"(post-Fibonacci)":[50],"steps":[51],"McDuff--Schlenk":[54],"staircase":[55],"some":[57],"non-obvious":[58],"in":[62]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-05-29T00:00:00"}
