Guorui Ma, Stephen S.-T. Yau, Qiwei Zhu, Huaiqing Zuo
{"title":"A characterization and solvability of quasihomogeneous singularities","authors":"Guorui Ma, Stephen S.-T. Yau, Qiwei Zhu, Huaiqing Zuo","doi":"10.2140/pjm.2024.329.121","DOIUrl":"https://doi.org/10.2140/pjm.2024.329.121","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141354319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the coefficient inequalities for some classes of holomorphic mappings in complex Banach spaces","authors":"Qinghua Xu, Xiaohua Yang, Taishun Liu","doi":"10.2140/pjm.2024.329.183","DOIUrl":"https://doi.org/10.2140/pjm.2024.329.183","url":null,"abstract":"Let C be the familiar class of normalized close-to-convex functions in the unit disk. Koepf (1987) proved that for a function f ( z ) = z + (cid:80) ∞ k = 2 a k z k in the class C , |","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141351927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stable value of depth of symbolic powers of edge ideals of graphs","authors":"N. Minh, T. N. Trung, Thanh Vu","doi":"10.2140/pjm.2024.329.147","DOIUrl":"https://doi.org/10.2140/pjm.2024.329.147","url":null,"abstract":". Let G be a simple graph on n vertices. We introduce the notion of bipartite connectivity of G , denoted by bc( G ) and prove that","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141351184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Tame quasiconformal motions and monodromy","authors":"Yunping Jiang, Sudeb Mitra, Zhe Wang","doi":"10.2140/pjm.2024.329.105","DOIUrl":"https://doi.org/10.2140/pjm.2024.329.105","url":null,"abstract":"The concept of tame quasiconformal motions was first introduced by Jiang et al. (2018). The concept of monodromy of holomorphic motions was first introduced by Beck et al. (2012). In this paper, we will show that the concept of monodromy of tame quasiconformal motions can be defined, whereas it cannot be defined for quasiconformal motions, in the sense of Sullivan and Thurston (1986). We also study some other properties of tame quasiconfor-mal motions.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141355196","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The size of semigroup orbits modulo primes","authors":"Wade Hindes, Joseph H. Silverman","doi":"10.2140/pjm.2023.325.281","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.281","url":null,"abstract":"Let $V$ be a projective variety defined over a number field $K$, let $S$ be a polarized set of endomorphisms of $V$ all defined over $K$, and let $Pin V(K)$. For each prime $mathfrak{p}$ of $K$, let $m_{mathfrak{p}}(S,P)$ denote the number of points in the orbit of $Pbmodmathfrak{p}$ for the semigroup of maps generated by $S$. Under suitable hypotheses on $S$ and $P$, we prove an analytic estimate for $m_{mathfrak{p}}(S,P)$ and use it to show that the set of primes for which $m_{mathfrak{p}}(S,P)$ grows subexponentially as a function of $operatorname{mathsf{N}}_{K/mathbb{Q}}mathfrak{p}$ is a set of density zero. For $V=mathbb{P}^1$ we show that this holds for a generic set of maps $S$ provided that at least two of the maps in $S$ have degree at least four.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135819346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in S4","authors":"Michelle Chu, Alan W. Reid","doi":"10.2140/pjm.2023.325.191","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.191","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135820399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Poisson manifolds of strong compact type over 2-tori","authors":"Luka Zwaan","doi":"10.2140/pjm.2023.325.353","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.353","url":null,"abstract":"In arXiv1312.7267, the first non-trivial example of a Poisson manifold of strong compact type is given. The construction uses the theory of K3 surfaces and results in a Poisson manifold with leaf space $S^1$. We modify the construction to obtain a new class of examples. Specifically, we obtain for each strongly integral affine 2-torus a Poisson manifold of strong compact type with said torus as leaf space.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135775118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Counterexamples to the nonsimply connected double soul conjecture","authors":"Jason DeVito","doi":"10.2140/pjm.2023.325.239","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.239","url":null,"abstract":"A double disk bundle is any smooth closed manifold obtained as the union of the total spaces of two disk bundles, glued together along their common boundary. The Double Soul Conjecture asserts that a closed simply connected manifold admitting a metric of non-negative sectional curvature is necessarily a double disk bundle. We study a generalization of this conjecture by dropping the requirement that the manifold be simply connected. Previously, a unique counterexample was known to this generalization, the Poincar'e dodecahedral space $S^3/I^ast$. We find infinitely many $3$-dimensional counterexamples, as well as another infinite family of flat counterexamples whose dimensions grow without bound.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135819357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Tropical Lagrangian multisections and toric vector bundles","authors":"Yat-Hin Suen","doi":"10.2140/pjm.2023.325.299","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.299","url":null,"abstract":"It is well-known that toric line bundles on a toric variety correspond to piecewise linear functions on the fan. For toric vector bundles, Payne constructed a branched covering over the fan and a piecewise linear function on the domain. We think of these objects as the tropicalization of Lagrangian multi-sections and therefore, deserve the name tropical Lagrangian multi-sections. In this paper, we study the reconstruction problem of toric vector bundles from a given tropical Lagrangian multi-section. Those tropical Lagrangian multi-sections that arise from toric vector bundles are called unobstructed. We reformulate Kaneyama's classification of toric vector bundles in terms of the language of tropical Lagrangian multi-sections. We also provide a ``SYZ-type approach to construct toric vector bundles from tropical Lagrangian multi-sections. In dimension 2, such ``mirror-symmetric approach provides us a combinatorial condition for checking which rank 2 tropical Lagrangian multi-section is unobstructed.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135775000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The fundamental group of an extension in a Tannakian category and the unipotent radical of the Mumford–Tate group of an open curve","authors":"Payman Eskandari, V. Kumar Murty","doi":"10.2140/pjm.2023.325.255","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.255","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135819356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}