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This is an erratum to the article: "Computation of maximal projection constants" (J. Funct. Anal., 277). The statement of Lemma 3.1(2) of that paper is incorrect. As a consequence of this the proof of Theorem 1.4 is incomplete. In this…

Functional Analysis · Mathematics 2024-06-27 Giuliano Basso

An algebraic deformation theory of algebras over the Landweber-Novikov algebra is obtained.

Commutative Algebra · Mathematics 2007-05-23 Donald Yau

Errata for MNRAS 330, 821 (2002, astro-ph/0111084). A notation error in Eq. 7 and some typos in Table 3 corrected.

Astrophysics · Physics 2009-11-07 C. Lia , L. Portinari , G. Carraro

This article is a survey of results involving conformal deformation of Riemannian metrics and fully nonlinear equations.

Differential Geometry · Mathematics 2007-05-23 Jeff Viaclovsky

We apply the notion of 2-extensions of algebras to the deformation theory of algebras. After standard results on butterflies between 2-extensions, we use this (2, 0)-category to give three perspectives on the deformation theory of algebras.…

Algebraic Geometry · Mathematics 2022-04-27 Leo Herr

Erratum for paper "Light-induced desorption of alkali-metal atoms from paraffin coating" [Phys. Rev. A 66, 042903 (2002).

Atomic Physics · Physics 2009-11-10 E. B. Alexandrov , M. V. Balabas , D. Budker , D. English , D. F. Kimball , C. -H. Li , V. V. Yashchuk

This is a list of corrections for the book: J. Noguchi and T. Ochiai, Geometric Function Theory in Several Complex Variables, xi + 282 pp., Math.\ Monographs Vol.\ {\bf 80}, Amer.\ Math.\ Soc., Providence, 1990. The authors hope that this…

Complex Variables · Mathematics 2009-09-25 J. Noguchi , T. Ochiai

A simple method is proposed for deforming $A_\infty$-algebras by means of the resolution technique. The method is then applied to the associative algebras of polynomial functions on quantum superspaces. Specifically, by introducing suitable…

Mathematical Physics · Physics 2020-01-08 Alexey A. Sharapov , Evgeny D. Skvortsov

We introduce the notions of mixed resolutions and simplicial sections, and prove a theorem relating them. This result is used (in another paper) to study deformation quantization in algebraic geometry.

Algebraic Geometry · Mathematics 2007-05-23 Amnon Yekutieli

This is a corrected version of our paper published in Osaka Journal of Mathematics 51(2014), 673-693. We correct Theorem~1.1, Proposition~3.3 and their proofs.

Differential Geometry · Mathematics 2015-05-12 Guangcun Lu , Xiaomin Chen

An algebraic deformation theory of morphisms of dual Leibniz algebras is obtained.

Quantum Algebra · Mathematics 2007-06-13 Donald Yau

Symmetries and reductions of some algebraic equations are considered. Transformations that preserve the form of several algebraic equations, as well as transformations that reduce the degree of these equations, are described. Illustrative…

Numerical Analysis · Mathematics 2024-07-26 Inna K. Shingareva , Andrei D. Polyanin

This erratum remedies errors in the literature pertaining to the stable Adams conjecture. As part of the above corrections, we also identify and fix two errors in section 4 of our recent article on the subject. We thank E. Fridelander for…

Algebraic Topology · Mathematics 2026-02-25 Prasit Bhattacharya , Nitu Kitchloo

An algebraic deformation theory of coalgebra morphisms is constructed.

Quantum Algebra · Mathematics 2007-05-23 Donald Yau

Quadratic descent of hermitian and skew hermitian forms over division algebras with involution of the first kind in arbitrary characteristic is investigated and a criterion, in terms of systems of quadratic forms, is obtained. A refined…

Rings and Algebras · Mathematics 2020-02-26 Amir Hossein Nokhodkar

The purpose of this paper is to introduce an algebraic cohomology and formal deformation theory of left alternative algebras. Connections to some other algebraic structures are given also.

Rings and Algebras · Mathematics 2016-10-17 Mohamed Elhamdadi , Abdenacer Makhlouf

This note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006), 1701-1734. We provide a correct proof of this result.

Algebraic Geometry · Mathematics 2023-10-02 Lawrence Ein , Robert Lazarsfeld , Mircea Mustata , Michael Nakamaye , Mihnea Popa

We correct a simple error in Percolation on random Johnson-Mehl tessellations and related models, Probability Theory and Related Fields 140 (2008), 417-468. (See also arXiv:math/0610716)

Probability · Mathematics 2010-02-08 Bela Bollobas , Oliver Riordan

The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components: 1. Lemma 7.1 and Proposition 7.2 are wrong and discarded; 2. A new proof of existence $\lambda(\xi)$ in (7.1) without Proposition 7.2;…

Representation Theory · Mathematics 2017-07-18 Jing-Song Huang

This Note presents the resolution of a differential system on the plane that translates a geometrical problem about isotropic deformations of area and length. The system stems from a probability study on deformed random fields [J.Fournier…

Analysis of PDEs · Mathematics 2017-04-19 Marc Briant , Julie Fournier