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Related papers: A note on double Danielewski surfaces

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The article provides a counterexample to a conjecture by Blocki-Zwonek.

Complex Variables · Mathematics 2015-07-20 John Erik Fornæss

We show NP-completeness for the recognition problem of 2-line-bend graphs.

Computational Complexity · Computer Science 2015-10-05 Martin Pergel

Working in any model theoretic structure, we single out a class of definable bipartite graphs that admit definable, close to perfect matchings. We use this result to prove a strengthening of Tarski's theorem for the definable setting.

Logic · Mathematics 2025-07-14 Jana Maříková

We discuss the naive duality theory of coherent, torsion free, $S_2$ sheaves on schemes. Version 2: A solution of the original Conjecture 6.2 is added as an appendix by Hailong Dao.

Algebraic Geometry · Mathematics 2018-12-11 János Kollár , Hailong Dao

This note is a corrigendum to the previous version arXiv:0711.2735v3 published in J. Lie Theory. As it has been recently pointed out to me by Alexander Premet, Remark 3 of arXiv:0711.2735v3 is incorrect. We verify in this note thanks to…

Representation Theory · Mathematics 2013-03-07 Anne Moreau

We present a proof of the Chevalley-Weil Theorem that is somewhat different from the proofs appearing in the literature and with somewhat weaker hypotheses, of purely topological type. We also provide a discussion of the assumptions, and an…

Number Theory · Mathematics 2021-04-13 Pietro Corvaja , Amos Turchet , Umberto Zannier

In this note we improve the parameter $q$ that appears in Theorem 1 obtained by the author in [Math. Ineq. \& appl., Vol 19 (3) (2016), 1013-1030].

Classical Analysis and ODEs · Mathematics 2025-12-22 Pablo Rocha

We provide a generalization of the Phragm\'en-Lindel\"of principal of Rademacher with the aim of correcting, or at least provide a pathway to correcting, several errors appearing in the literature.

Number Theory · Mathematics 2026-01-07 Andrew Fiori

The purpose of this note is to give counterexamples to the containment $I^{(3)}\subset I^2$ over the real numbers.

This is an addendum to our earlier paper on the defect of an ample divisor of an abelian variety. It modifies an argument of the original paper to handle one difficulty there. At the same time the modification improves the result in the…

Complex Variables · Mathematics 2007-05-23 Yum-Tong Siu , Sai-Kee Yeung

In this paper we give a new proof of Riemann's well known mapping theorem. The suggested method permits to prove an analog of that theorem for the three dimensional case.

Complex Variables · Mathematics 2011-01-05 Ashot Vagharshakyan

These notes are a self-contained short proof of the stability of persistence diagrams.

Algebraic Topology · Mathematics 2021-03-22 Primoz Skraba , Katharine Turner

In this Note, we provide the comments on the paper [A note on the hit problem for the polynomial algebra in the case of odd primes and its application] which was published in the RACSAM [Rev. Real. Acad. Cienc. Exactas. Fis. Nat. Ser.…

General Mathematics · Mathematics 2025-08-04 Nguyen Sum

In this paper, we give a bijective proof of the reduced lecture hall partition theorem. It is possible to extend this bijection in lecture hall partition theorem. And refined versions of each theorems are also presented.

Combinatorics · Mathematics 2015-04-17 Masanori Ando

In this note, we give a slight improvement of a result of A. K\"uronya and V. Lozovanu about higher syzygies on abelian surfaces.

Algebraic Geometry · Mathematics 2017-10-06 Atsushi Ito

We clarify and extend insights from Lavrentiev's seminal paper. We examine the original theorem dealing with the absence of the Lavrentiev phenomenon, a cornerstone issue in the calculus of variations. We point out some inconsistencies in…

Classical Analysis and ODEs · Mathematics 2026-04-28 Wiktor Wichrowski

In this note we prove that single-conclusion admissible rules of any proper axiomatic extension of the infnite valued Lukasiewicz logic are finitely based.

Logic · Mathematics 2015-12-14 Joan Gispert

We prove pointwise relations between some multiparameter square functions on $\bold R^n$.

Classical Analysis and ODEs · Mathematics 2026-04-22 Shuichi Sato

This is a short addendum to a note of Beauville on the subject of the title. We prove an inequality that takes into account the constant part of the Jacobian.

Number Theory · Mathematics 2007-05-23 Minhyong Kim

An approximation result for the bilinear Hilbert transform is proved and used for the inversion of the bilinear Hilbert transform. Also, p-Lebesgue points $(p\geq 1)$ are analyzed.

Functional Analysis · Mathematics 2016-08-14 A. Bučkovska , S. Pilipović , M. Vuković
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