{"id":"https://openalex.org/W7204864085","doi":"https://doi.org/10.48550/arxiv.2608.30779","title":"Some uniform estimates for K\u00e4hler--Ricci Shrinkers","display_name":"Some uniform estimates for K\u00e4hler--Ricci Shrinkers","publication_year":2026,"publication_date":"2026-08-31","ids":{"openalex":"https://openalex.org/W7204864085","doi":"https://doi.org/10.48550/arxiv.2608.30779"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.30779","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30779","pdf_url":"https://arxiv.org/pdf/2608.30779","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":"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/2608.30779","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030721435","display_name":"J. Zhang","orcid":"https://orcid.org/0000-0002-7526-1155","observed_orcids":["https://orcid.org/0000-0002-7526-1155"]},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhang, Junsheng","raw_affiliation_strings":["Courant Institute of Mathematical Sciences , New York University , 251 Mercer St , New York , NY 10012 ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences , New York University , 251 Mercer St , New York , NY 10012 ,","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030721435"],"corresponding_institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"],"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/T12351","display_name":"Geometry and complex manifolds","score":0.6352999806404114,"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/T12351","display_name":"Geometry and complex manifolds","score":0.6352999806404114,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.3630000054836273,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.0003000000142492354,"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/ricci-solitons","display_name":"Ricci solitons","score":0.9300000071525574},{"id":"https://openalex.org/keywords/uniform-estimates","display_name":"uniform estimates","score":0.7409999966621399},{"id":"https://openalex.org/keywords/entropy-lower-bound","display_name":"entropy lower bound","score":0.9049999713897705},{"id":"https://openalex.org/keywords/scalar-curvature-lower-bound","display_name":"scalar curvature lower bound","score":0.9139999747276306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8256000280380249},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7016000151634216},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5464000105857849},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.46209999918937683},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.430400013923645},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4034999907016754},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.3912999927997589},{"id":"https://openalex.org/C2992444157","wikidata":"https://www.wikidata.org/wiki/Q775079","display_name":"Single point","level":3,"score":0.3504999876022339},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3276999890804291},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.30410000681877136},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28529998660087585},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.2777999937534332}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.30779","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30779","pdf_url":"https://arxiv.org/pdf/2608.30779","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.30779","doi":"https://doi.org/10.48550/arxiv.2608.30779","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.30779","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:2608.30779","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.30779","pdf_url":"https://arxiv.org/pdf/2608.30779","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204864085.pdf","grobid_xml":"https://content.openalex.org/works/W7204864085.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W3049383224","https://openalex.org/W3083316763","https://openalex.org/W4403569970","https://openalex.org/W4415270335","https://openalex.org/W7104054336","https://openalex.org/W7162424272","https://openalex.org/W7171629505"],"related_works":["https://openalex.org/W7220720922","https://openalex.org/W4318142177","https://openalex.org/W7127939639","https://openalex.org/W2952621516","https://openalex.org/W1702504257","https://openalex.org/W3129728412","https://openalex.org/W7223114132","https://openalex.org/W1593924907","https://openalex.org/W7223114569","https://openalex.org/W2583902064"],"abstract_inverted_index":{"In":[0,16],"this":[1],"paper,":[2],"we":[3,18],"establish":[4],"several":[5],"uniform":[6,22,30,46],"estimates":[7],"for":[8,25,33,49,64],"K\u00e4hler--Ricci":[9],"shrinkers":[10],"without":[11],"imposing":[12],"any":[13],"curvature":[14,52],"assumptions.":[15],"particular,":[17],"prove:":[19],"1.":[20],"a":[21,29,45,57],"lower":[23,31,47],"bound":[24,32,48],"the":[26,34,50,61],"entropy;":[27],"2.":[28],"asymptotic":[35],"volume":[36,42],"ratio":[37],"of":[38,60],"K\u00e4hler--shrinkers":[39],"with":[40],"maximal":[41],"growth;":[43],"3.":[44],"scalar":[51],"on":[53],"balls":[54],"centered":[55],"at":[56],"minimum":[58],"point":[59],"soliton":[62],"potential":[63],"non-Gaussian":[65],"shrinkers.":[66]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-02T00:00:00"}