Complex Variables

Authors and titles for December 2018

[51] arXiv:1812.00865 (cross-list from math.RT) [pdf, other]

Title: On the Structure of Double Complexes

Jonas Stelzig

Comments: final version; to appear in J. London Math. Soc

Subjects: Representation Theory (math.RT); Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)

[52] arXiv:1812.01437 (cross-list from math.OC) [pdf, other]

Title: Realization of tensor-product and of tensor-Factorization of rational functions

Daniel Alpay, Izchak Lewkowicz

Subjects: Optimization and Control (math.OC); Complex Variables (math.CV)

[53] arXiv:1812.01573 (cross-list from math.DS) [pdf, other]

Title: Schwarz reflections and the Tricorn

Seung-Yeop Lee, Mikhail Lyubich, Nikolai G. Makarov, Sabyasachi Mukherjee

Comments: This is a sequel to the paper "Dynamics of Schwarz reflections: the mating phenomena", available at arXiv:1811.04979v3. Final version, to appear in "Ann. Inst. Fourier (Grenoble)"

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[54] arXiv:1812.02279 (cross-list from math.AG) [pdf, other]

Title: Serre Duality for the Cohomology of Landau-Ginzburg models

Mu-Lin Li

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[55] arXiv:1812.02491 (cross-list from math.DS) [pdf, other]

Title: Holomorphic vector fields tangent to foliations in dimension three

Danúbia Junca, Rogério Mol

Comments: 17 pages

Subjects: Dynamical Systems (math.DS); Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)

[56] arXiv:1812.03016 (cross-list from math.DS) [pdf, other]

Title: Area and Hausdorff dimension of Sierpi\'{n}ski carpet Julia sets

Yuming Fu, Fei Yang

Comments: 15 pages, 3 figures; some typos corrected

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[57] arXiv:1812.03913 (cross-list from math.PR) [pdf, other]

Title: The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions

Jason Miller, Wei Qian

Comments: 28 pages and 8 figures

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Complex Variables (math.CV)

[58] arXiv:1812.05398 (cross-list from math.MG) [pdf, other]

Title: Invariant metrics on the Complex ellipsoid

Gunhee Cho

Subjects: Metric Geometry (math.MG); Complex Variables (math.CV)

[59] arXiv:1812.05940 (cross-list from math.DG) [pdf, other]

Title: Deformation theory of holomorphic Cartan geometries

Indranil Biswas, Sorin Dumitrescu, Georg Schumacher

Comments: This is the final version to be published in Indagationes Mathematicae

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[60] arXiv:1812.06648 (cross-list from math.AP) [pdf, other]

Title: The Bergman kernel in constant curvature

Alix Deleporte (IRMA)

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV)

[61] arXiv:1812.07216 (cross-list from math-ph) [pdf, other]

Title: Frustrated conformal transformations and holomorphic maps on ambitwistor space

Edward B. Baker III

Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV); Differential Geometry (math.DG)

[62] arXiv:1812.07999 (cross-list from math.DS) [pdf, other]

Title: Hausdorff measures and packing measures of the limit sets of CIFSs of generalized complex continued fractions

Kanji Inui, Hiroki Sumi

Comments: arXiv admin note: text overlap with arXiv:1810.12599

Journal-ref: Published in J. Difference Equ. Appl. 26 (2020), no. 1, pp. 104--121

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[63] arXiv:1812.08049 (cross-list from math.PR) [pdf, other]

Title: On strongly orthogonal martingales in UMD Banach spaces

Ivan Yaroslavtsev

Subjects: Probability (math.PR); Complex Variables (math.CV); Functional Analysis (math.FA)

[64] arXiv:1812.08121 (cross-list from math.FA) [pdf, other]

Title: The reproducing kernel thesis for lower bounds of weighted composition operators

Isabelle Chalendar, Jonathan R. Partington

Comments: 10 pages, revised version (minor corrections)

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

[65] arXiv:1812.08143 (cross-list from math.FA) [pdf, other]

Title: Hypercontractions and factorizations of multipliers in one and several variables

Monojit Bhattacharjee, B. Krishna Das, Jaydeb Sarkar

Comments: 31 pages, revised and expanded version

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV); Operator Algebras (math.OA)

[66] arXiv:1812.08149 (cross-list from math.AG) [pdf, other]

Title: The dimension of an amoeba

Jan Draisma, Johannes Rau, Chi Ho Yuen

Comments: 8 pages, several small improvements, final version

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[67] arXiv:1812.09246 (cross-list from math.MG) [pdf, other]

Title: Non-removability of Sierpinski spaces

Dimitrios Ntalampekos, Jang-Mei Wu

Comments: 10 pages

Journal-ref: Proc. Amer. Math. Soc. 148 (2020), 203-212

Subjects: Metric Geometry (math.MG); Complex Variables (math.CV); General Topology (math.GN)

[68] arXiv:1812.09633 (cross-list from math.DG) [pdf, other]

Title: Canonical almost complex structures on ACH Einstein manifolds

Yoshihiko Matsumoto

Comments: 28 pages. The statement of Theorem 1.2 is modified; substantial corrections and clarifications are added throughout the text

Journal-ref: Pacific J. Math. 314 (2021) 375-410

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[69] arXiv:1812.09748 (cross-list from math.AG) [pdf, other]

Title: The global moduli theory of symplectic varieties

Benjamin Bakker, Christian Lehn

Comments: Minor corrections. Final version, to appear in J. Reine Angew. Math

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)

[70] arXiv:1812.09754 (cross-list from math.AG) [pdf, other]

Title: The classification of Hyperelliptic threefolds

Fabrizio Catanese, Andreas Demleitner

Comments: 6 pages

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[71] arXiv:1812.09757 (cross-list from math.FA) [pdf, other]

Title: Partial Classification of Polynomials and an Orthonormal Basis Construction on the Associated Basin of Attraction

James Tipton

Comments: 8 pages, 2 figures

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

[72] arXiv:1812.10698 (cross-list from math.AP) [pdf, other]

Title: Gevrey estimates for certain moment partial differential equations

Sławomir Michalik, Maria Suwińska

Comments: 13 pages, 1 figure

Journal-ref: Complex Differential and Difference Equations, De Gruyter Proceedings in Mathematics (2020), 391-408

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV)

[73] arXiv:1812.11058 (cross-list from math.FA) [pdf, other]

Title: Order version of the Hahn-Banach theorem, and envelopes. II. Applications to the function theory

B.N. Khabibullin, A.P. Rozit, E.B. Khabibullina

Comments: 40 pages, in Russian; Itogi Nauki i Tekhniki. Seriya "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory (to appear); will be translated in English and published by Springer in Journal of Mathematical Sciences

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

[74] arXiv:1812.11355 (cross-list from math.AG) [pdf, other]

Title: Codimension one distributions and stable rank 2 reflexive sheaves on threefolds

Omegar Calvo-Andrade, Maurício Corrêa, Marcos Jardim

Comments: 12 pages; To appear in Annals of the Brazilian Academy of Sciences

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[75] arXiv:1812.11719 (cross-list from math.DG) [pdf, other]

Title: Locally Removable Singularities for K\"{a}hler Metrics with Constant Holomorphic Sectional Curvature

Si-en Gong, Hongyi Liu, Bin Xu

Comments: 13 pages, 2 figures. We made the following revisements: 1. We added a new condition in Theorem 1.1 that $B^n\setminus K$ is connected, which is necessary for the truth of the theorem. 2. We added Remark 1.4, which says that there do exist isolated singularities for Riemannian metrics of constant sectional curvature in real dimension three or more

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[76] arXiv:1812.11729 (cross-list from math.NT) [pdf, other]

Title: Universality and distribution of zeros and poles of some zeta functions

Kristian Seip

Comments: This is the final version of the paper which has been accepted for publication in Journal d'Analyse Mathématique

Journal-ref: J. Anal. Math. 141 (2020), 331--381

Subjects: Number Theory (math.NT); Complex Variables (math.CV)

[77] arXiv:1812.11808 (cross-list from math.PR) [pdf, other]

Title: Conformal welding for critical Liouville quantum gravity

Nina Holden, Ellen Powell

Comments: 27 pages, 3 figures. Minor changes

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Complex Variables (math.CV)