See pluricanonical in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "pluri", "3": "canonical" }, "expansion": "pluri- + canonical", "name": "prefix" } ], "etymology_text": "From pluri- + canonical.", "head_templates": [ { "args": { "1": "-" }, "expansion": "pluricanonical (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms prefixed with pluri-", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2015, Yoshinori Hashimoto, “Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor”, in arXiv:", "text": "Our main result is that, on the projective completion #x5C;mathbb#x7B;P#x7D;(#x5C;mathcal#x7B;F#x7D;#x5C;oplus#x5C;mathbb#x7B;C#x7D;) of a pluricanonical line bundle #x5C;mathcal#x7B;F#x7D;} over a product of K\\\"ahler--Einstein Fano manifolds with the second Betti number 1, momentum-constructed constant scalar curvature K\\\"ahler metrics with cone singularities along the #x5C;infty-section exist if and only if the log Futaki invariant vanishes on the fibrewise #x5C;mathbb#x7B;C#x7D;#x2A;-action, giving a supporting evidence to the log version of the Donaldson--Tian--Yau conjecture for general polarisations.", "type": "quote" } ], "glosses": [ "multicanonical" ], "id": "en-pluricanonical-en-adj-1kuvve-p", "links": [ [ "mathematics", "mathematics" ], [ "multicanonical", "multicanonical" ] ], "raw_glosses": [ "(mathematics) multicanonical" ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] } ], "word": "pluricanonical" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "pluri", "3": "canonical" }, "expansion": "pluri- + canonical", "name": "prefix" } ], "etymology_text": "From pluri- + canonical.", "head_templates": [ { "args": { "1": "-" }, "expansion": "pluricanonical (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English adjectives", "English entries with incorrect language header", "English lemmas", "English terms prefixed with pluri-", "English terms with quotations", "English uncomparable adjectives", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2015, Yoshinori Hashimoto, “Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor”, in arXiv:", "text": "Our main result is that, on the projective completion #x5C;mathbb#x7B;P#x7D;(#x5C;mathcal#x7B;F#x7D;#x5C;oplus#x5C;mathbb#x7B;C#x7D;) of a pluricanonical line bundle #x5C;mathcal#x7B;F#x7D;} over a product of K\\\"ahler--Einstein Fano manifolds with the second Betti number 1, momentum-constructed constant scalar curvature K\\\"ahler metrics with cone singularities along the #x5C;infty-section exist if and only if the log Futaki invariant vanishes on the fibrewise #x5C;mathbb#x7B;C#x7D;#x2A;-action, giving a supporting evidence to the log version of the Donaldson--Tian--Yau conjecture for general polarisations.", "type": "quote" } ], "glosses": [ "multicanonical" ], "links": [ [ "mathematics", "mathematics" ], [ "multicanonical", "multicanonical" ] ], "raw_glosses": [ "(mathematics) multicanonical" ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] } ], "word": "pluricanonical" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.