Nagoya Mathematical Journal最新文献

{"title":"CORRIGENDUM TO “CLUSTER CATEGORIES FROM GRASSMANNIANS AND ROOT COMBINATORICS”","authors":"K. Baur, Dusko Bogdanic, Ana GARCIA ELSENER","doi":"10.1017/nmj.2022.7","DOIUrl":"https://doi.org/10.1017/nmj.2022.7","url":null,"abstract":"Abstract In this note, we correct an oversight regarding the modules from Definition 4.2 and proof of Lemma 5.12 in Baur et al. (Nayoga Math. J., 2020, 240, 322–354). In particular, we give a correct construction of an indecomposable rank \u0000$2$\u0000 module \u0000$operatorname {mathbb {L}}nolimits (I,J)$\u0000 , with the rank 1 layers I and J tightly \u0000$3$\u0000 -interlacing, and we give a correct proof of Lemma 5.12.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"249 1","pages":"269 - 273"},"PeriodicalIF":0.8,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41648792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"EVALUATION OF CERTAIN EXOTIC \u0000$_3F_2$\u0000 (1)-SERIES","authors":"Marta Na Chen, W. Chu","doi":"10.1017/nmj.2022.23","DOIUrl":"https://doi.org/10.1017/nmj.2022.23","url":null,"abstract":"Abstract A class of exotic \u0000$_3F_2(1)$\u0000 -series is examined by integral representations, which enables the authors to present relatively easier proofs for a few remarkable formulae. By means of the linearization method, these \u0000$_3F_2(1)$\u0000 -series are further extended with two integer parameters. A general summation theorem is explicitly established for these extended series, and several sample summation identities are highlighted as consequences.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"249 1","pages":"107 - 118"},"PeriodicalIF":0.8,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48019451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"NMJ volume 247 Cover and Back matter","authors":"","doi":"10.1017/nmj.2022.26","DOIUrl":"https://doi.org/10.1017/nmj.2022.26","url":null,"abstract":"","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"247 1","pages":"b1 - b2"},"PeriodicalIF":0.8,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42375354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"NMJ volume 247 Cover and Front matter","authors":"","doi":"10.1017/nmj.2022.25","DOIUrl":"https://doi.org/10.1017/nmj.2022.25","url":null,"abstract":"","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"247 1","pages":"f1 - f4"},"PeriodicalIF":0.8,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49331445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"ON THE DISTRIBUTION OF IWASAWA INVARIANTS ASSOCIATED TO MULTIGRAPHS","authors":"C'edric Dion, Antonio Lei, Anwesh Ray, Daniel Vallières","doi":"10.1017/nmj.2023.18","DOIUrl":"https://doi.org/10.1017/nmj.2023.18","url":null,"abstract":"\u0000\t <jats:p>Let <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0027763023000181_inline1.png\" />\u0000\t\t<jats:tex-math>\u0000$ell $\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> be a prime number. The Iwasawa theory of multigraphs is the systematic study of growth patterns in the number of spanning trees in abelian <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0027763023000181_inline2.png\" />\u0000\t\t<jats:tex-math>\u0000$ell $\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula>-towers of multigraphs. In this context, growth patterns are realized by certain analogs of Iwasawa invariants, which depend on the prime <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0027763023000181_inline3.png\" />\u0000\t\t<jats:tex-math>\u0000$ell $\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> and the abelian <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0027763023000181_inline4.png\" />\u0000\t\t<jats:tex-math>\u0000$ell $\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula>-tower of multigraphs. We formulate and study statistical questions about the behavior of the Iwasawa <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0027763023000181_inline5.png\" />\u0000\t\t<jats:tex-math>\u0000$mu $\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> and <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0027763023000181_inline6.png\" />\u0000\t\t<jats:tex-math>\u0000$lambda $\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> invariants.</jats:p>","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45398484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"BIG COHEN–MACAULAY TEST IDEALS IN EQUAL CHARACTERISTIC ZERO VIA ULTRAPRODUCTS","authors":"T. Yamaguchi","doi":"10.1017/nmj.2022.41","DOIUrl":"https://doi.org/10.1017/nmj.2022.41","url":null,"abstract":"Abstract Utilizing ultraproducts, Schoutens constructed a big Cohen–Macaulay (BCM) algebra \u0000$mathcal {B}(R)$\u0000 over a local domain R essentially of finite type over \u0000$mathbb {C}$\u0000 . We show that if R is normal and \u0000$Delta $\u0000 is an effective \u0000$mathbb {Q}$\u0000 -Weil divisor on \u0000$operatorname {Spec} R$\u0000 such that \u0000$K_R+Delta $\u0000 is \u0000$mathbb {Q}$\u0000 -Cartier, then the BCM test ideal \u0000$tau _{widehat {mathcal {B}(R)}}(widehat {R},widehat {Delta })$\u0000 of \u0000$(widehat {R},widehat {Delta })$\u0000 with respect to \u0000$widehat {mathcal {B}(R)}$\u0000 coincides with the multiplier ideal \u0000$mathcal {J}(widehat {R},widehat {Delta })$\u0000 of \u0000$(widehat {R},widehat {Delta })$\u0000 , where \u0000$widehat {R}$\u0000 and \u0000$widehat {mathcal {B}(R)}$\u0000 are the \u0000$mathfrak {m}$\u0000 -adic completions of R and \u0000$mathcal {B}(R)$\u0000 , respectively, and \u0000$widehat {Delta }$\u0000 is the flat pullback of \u0000$Delta $\u0000 by the canonical morphism \u0000$operatorname {Spec} widehat {R}to operatorname {Spec} R$\u0000 . As an application, we obtain a result on the behavior of multiplier ideals under pure ring extensions.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"251 1","pages":"549 - 575"},"PeriodicalIF":0.8,"publicationDate":"2022-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44361830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"SEMIAMPLENESS FOR CALABI–YAU SURFACES IN POSITIVE AND MIXED CHARACTERISTIC","authors":"F. Bernasconi, L. Stigant","doi":"10.1017/nmj.2022.32","DOIUrl":"https://doi.org/10.1017/nmj.2022.32","url":null,"abstract":"Abstract In this note, we prove the semiampleness conjecture for Kawamata log terminal Calabi–Yau (CY) surface pairs over an excellent base ring. As applications, we deduce that generalized abundance and Serrano’s conjecture hold for surfaces. Finally, we study the semiampleness conjecture for CY threefolds over a mixed characteristic DVR.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"250 1","pages":"365 - 384"},"PeriodicalIF":0.8,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48103663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"FRACTIONAL TYPE MARCINKIEWICZ INTEGRAL AND ITS COMMUTATOR ON NONHOMOGENEOUS SPACES","authors":"G. Lu","doi":"10.1017/nmj.2022.6","DOIUrl":"https://doi.org/10.1017/nmj.2022.6","url":null,"abstract":"Abstract The aim of this paper is to establish the boundedness of fractional type Marcinkiewicz integral \u0000$mathcal {M}_{iota ,rho ,m}$\u0000 and its commutator \u0000$mathcal {M}_{iota ,rho ,m,b}$\u0000 on generalized Morrey spaces and on Morrey spaces over nonhomogeneous metric measure spaces which satisfy the upper doubling and geometrically doubling conditions. Under the assumption that the dominating function \u0000$lambda $\u0000 satisfies \u0000$epsilon $\u0000 -weak reverse doubling condition, the author proves that \u0000$mathcal {M}_{iota ,rho ,m}$\u0000 is bounded on generalized Morrey space \u0000$L^{p,phi }(mu )$\u0000 and on Morrey space \u0000$M^{p}_{q}(mu )$\u0000 . Furthermore, the boundedness of the commutator \u0000$mathcal {M}_{iota ,rho ,m,b}$\u0000 generated by \u0000$mathcal {M}_{iota ,rho ,m}$\u0000 and regularized \u0000$mathrm {BMO}$\u0000 space with discrete coefficient (= \u0000$widetilde {mathrm {RBMO}}(mu )$\u0000 ) on space \u0000$L^{p,phi }(mu )$\u0000 and on space \u0000$M^{p}_{q}(mu )$\u0000 is also obtained.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"248 1","pages":"801 - 822"},"PeriodicalIF":0.8,"publicationDate":"2022-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47020509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"NMJ volume 246 Cover and Back matter","authors":"","doi":"10.1017/nmj.2022.10","DOIUrl":"https://doi.org/10.1017/nmj.2022.10","url":null,"abstract":"","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"246 1","pages":"b1 - b2"},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44831459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"NMJ volume 246 Cover and Front matter","authors":"S. Rao, Quanting Zhao","doi":"10.1017/nmj.2022.9","DOIUrl":"https://doi.org/10.1017/nmj.2022.9","url":null,"abstract":"We prove that the maximal number of conics in a smooth sextic K3-surface X ⊂ P is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible. §","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"246 1","pages":"f1 - f3"},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41450607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}