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Complex Variables

Authors and titles for recent submissions

[ total of 22 entries: 1-22 ]
[ showing up to 25 entries per page: fewer | more ]

Fri, 3 May 2024

[1]  arXiv:2405.01482 [pdf, ps, other]
Title: The continuous extension of the logarithmic double layer potential to the Ahlfors-regular boundary
Authors: Sergiy Plaksa
Subjects: Complex Variables (math.CV); Classical Analysis and ODEs (math.CA)
[2]  arXiv:2405.01193 [pdf, ps, other]
Title: On Hyperbolicity of Spirallike Circularlike domain
Authors: Sanjoy Chatterjee, Golam Mostafa Mondal
Comments: Preliminary draft. Comments are welcome
Subjects: Complex Variables (math.CV)
[3]  arXiv:2405.00869 [pdf, ps, other]
Title: Two variational problems in Kähler geometry
Authors: Laszlo Lempert
Comments: Welcome
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG); Metric Geometry (math.MG)
[4]  arXiv:2405.01357 (cross-list from math.FA) [pdf, ps, other]
Title: Schwarz-Pick type inequalities from an operator theoretical point of view
Authors: Catalin Badea, Axel Renard
Comments: 29 pages
Subjects: Functional Analysis (math.FA); Complex Variables (math.CV); Spectral Theory (math.SP)
[5]  arXiv:2405.00761 (cross-list from math.DG) [pdf, ps, other]
Title: Survey on the Canonical Metrics on the Teichmüller Spaces and the Moduli Spaces of Riemann Surfaces
Authors: Kin Wai Chan
Comments: 108 pages. arXiv admin note: substantial text overlap with arXiv:math/0403068, arXiv:math/0411247, arXiv:0912.5471 by other authors
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)
[6]  arXiv:2404.19207 (cross-list from math.AP) [pdf, ps, other]
Title: Equivalence between validity of the $p$-Poincaré inequality and finiteness of the strict $p$-capacitary inradius
Authors: A.-K. Gallagher
Comments: 15 pgs
Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV); Spectral Theory (math.SP)

Thu, 2 May 2024

[7]  arXiv:2405.00607 [pdf, ps, other]
Title: Inverse images of a positive closed current for a holomorphic endomorphism of a compact Kähler manifold
Authors: Taeyong Ahn
Comments: Comments are very welcome!
Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)
[8]  arXiv:2405.00575 (cross-list from math.AP) [pdf, ps, other]
Title: Complex analytic solutions for the TQG model
Authors: Prince Romeo Mensah
Comments: 11 pages
Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV)

Wed, 1 May 2024

[9]  arXiv:2404.19736 [pdf, other]
Title: On the derivatives of the Liouville currents
Authors: Xinlong Dong, Dragomir Šarić, Zhe Wang
Comments: 24 pages, 5 figures. arXiv admin note: text overlap with arXiv:2111.07809
Subjects: Complex Variables (math.CV)
[10]  arXiv:2404.19663 [pdf, other]
Title: Constrained maximization of conformal capacity
Authors: Harri Hakula, Mohamed M.S. Nasser, Matti Vuorinen
Subjects: Complex Variables (math.CV)
[11]  arXiv:2404.19522 [pdf, ps, other]
Title: Stable properties under weakly geometrically flat maps
Authors: Daniel Barlet (UL, IECL), Jon Ingolfur Magnusson
Subjects: Complex Variables (math.CV)

Tue, 30 Apr 2024

[12]  arXiv:2404.18792 [pdf, ps, other]
Title: Bergman local isometries are biholomorphisms
Authors: Jihun Yum
Comments: 8 pages
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)
[13]  arXiv:2404.18728 [pdf, ps, other]
Title: Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Generalized product property
Authors: Bergur Snorrason
Comments: 14 pages
Subjects: Complex Variables (math.CV)
[14]  arXiv:2404.18623 [pdf, ps, other]
Title: The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space
Authors: Shankey Kumar, Saminathan Ponnusamy, G. Brock Williams
Subjects: Complex Variables (math.CV)
[15]  arXiv:2404.18111 [pdf, ps, other]
Title: Defect relation for holomorphic maps from complex discs into projective varieties and hypersurfaces
Authors: Si Duc Quang
Comments: This paper consists of 16 pages
Subjects: Complex Variables (math.CV)
[16]  arXiv:2404.18079 [pdf, ps, other]
Title: Spectral Kernels and Holomorphic Morse Inequalities for Sequence of Line Bundles
Authors: Yueh-Lin Chiang
Comments: The paper is a continuation of my master thesis arXiv:2310.08048 under the supervision of Professor Chin-Yu Hsiao, and the idea comes from the work of Professor Dan Coman, Wen Lu, Xiaonan Ma, and George Marinescu arXiv:2012.12019
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)
[17]  arXiv:2404.18238 (cross-list from math.AG) [pdf, other]
Title: Reading the log canonical threshold of a plane curve singularity from its Newton polyhedron
Authors: Erik Paemurru
Comments: 13 pages, to appear in the Edge volume in Annali dell'Universit\`a di Ferrara
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)
[18]  arXiv:2404.18113 (cross-list from math.DG) [pdf, ps, other]
Title: Strong generalized holomorphic principal bundles
Authors: Debjit Pal, Mainak Poddar
Comments: 78 pages, comments are welcome
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV); Symplectic Geometry (math.SG)

Mon, 29 Apr 2024

[19]  arXiv:2404.17266 [pdf, ps, other]
Title: On the Grothendieck duality for the space of holomorphic Sobolev functions
Authors: Arkadii Levskii, Alexander Shlapunov
Subjects: Complex Variables (math.CV)
[20]  arXiv:2404.17060 [pdf, ps, other]
Title: On convergence of a sequence of mappings with inverse modulus inequality to a discrete mapping
Authors: E.O. Sevost'yanov, V.A. Targonskii
Comments: in Ukrainian language
Subjects: Complex Variables (math.CV)
[21]  arXiv:2404.17458 (cross-list from math.GT) [pdf, other]
Title: Pullback of symplectic forms to the space of circle patterns
Authors: Wai Yeung Lam
Comments: 23 pages, 3 figures
Subjects: Geometric Topology (math.GT); Complex Variables (math.CV); Symplectic Geometry (math.SG)
[22]  arXiv:2404.16968 (cross-list from math.AG) [pdf, ps, other]
Title: Detecting fast vanishing loops in complex-analytic germs (and detecting germs that are inner metrically conical)
Authors: Dmitry Kerner, Rodrigo Mendes
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Metric Geometry (math.MG)
[ total of 22 entries: 1-22 ]
[ showing up to 25 entries per page: fewer | more ]

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