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This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.

Algebraic Geometry · Mathematics 2016-04-20 Tommaso de Fernex

We give a proof of Yekutieli's global algebraic deformation quantization result which does not rely on the choice of local sections of the bundle of affine coordinate systems. Instead we use an argument inspired by algebraic De Rham…

Algebraic Geometry · Mathematics 2007-05-23 Michel Van den Bergh

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

An error in the paper [J. Math. Phys. 43, 6343 (2002); math-ph/0207009] is corrected. Further explanation is given.

Mathematical Physics · Physics 2015-06-26 Ali Mostafazadeh

In this article, the author provides full details of the proof of the concordance/isotopy problem. The first published proof, [5], accomplished this task only partially since there was an error, see the erratum [6], which damaged the main…

Differential Geometry · Mathematics 2018-08-23 Boris Botvinnik

In this paper, we prove some foundational results on the deformation theory of E-infinity ring spectra.

Algebraic Topology · Mathematics 2009-05-04 Jacob Lurie

In [Ritika Garg et al., Phys. Rev. C 100, 069901(E) (2019)] the experimental results on the polarization asysmetry were revised due to a claimed change of the geometry asymmetry. However, the revised results can not be reproduced as claimed…

Nuclear Experiment · Physics 2020-11-24 S. Guo , C. M. Petrache

We correct several errors in Phys. Rev. D 66, 094011 (2002). [arXiv:hep-ph/0205210].

High Energy Physics - Phenomenology · Physics 2015-06-12 Geoffrey T. Bodwin , Andrea Petrelli

We correct an error and some inaccuracies that occurred in "Deformed Calabi-Yau completions''. The most important point is that, as pointed out by W. K. Yeung, to show that the deformed Calabi-Yau completion has the Calabi-Yau property, one…

Representation Theory · Mathematics 2018-09-06 Bernhard Keller

We correct a partial mistake for a metric presented in the article "Lattice constellation and codes from quadratic number fields" [IEEE Trans. Inform. Theory, vol. 47, No. 4, May. 2001]. We show that the metric defined in the article is not…

Information Theory · Computer Science 2014-12-01 Murat Güzeltepe

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

Condensed Matter · Physics 2007-05-23 M. W. Wu

This is erratum of the paper [Phys. Rev. Lett. {\bf 84}, 4260 (2000)]

Quantum Physics · Physics 2007-05-23 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

There is an error in the proof (but not the truth) of Theorem 3.2 in the author's 1985 paper "The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes" in "Communications in Mathematical Physics". The author…

Mathematical Physics · Physics 2025-06-23 Bernard S. Kay

The primary aim of this essay, drawn from the author's MMath dissertation at Oxford, is to present and explain Kontsevich's formality theorem. The first two sections introduce the main topic. Sections 3 and 4 discuss Hochschild…

Quantum Algebra · Mathematics 2025-09-19 Haiqi Wu

We correct a mistake in the paper with the mentioned title and reference: Calc. Var. Partial Differential Equations 58 (2019), no. 1, 58:21. It corresponds with the preprint arXiv:1712.04727.

Differential Geometry · Mathematics 2020-04-06 Antonio Alarcon , Ildefonso Castro-Infantes , Francisco J. Lopez

Boris Shoikhet noticed that the proof of lemma 1 in section 2.3 of math.QA/0504420 contains an error. In this note I give a correct proof of this lemma which was suggested to me by Dmitry Tamarkin. The correction does not change the results…

Quantum Algebra · Mathematics 2007-05-23 Vasiliy A. Dolgushev

This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.

Algebraic Geometry · Mathematics 2014-09-15 Bertrand Toën

This erratum corrects a number of formulae containing mistakes in the paper 'Luminosity function, sizes and FR dichotomy of radio-loud AGN', 2007, MNRAS, v. 381, p.1548. The corrections do not alter any of the conclusions in the original…

Astrophysics · Physics 2009-11-13 Christian R. Kaiser , Philip N. Best

After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantization approach can be used to solve or at least give a…

Quantum Algebra · Mathematics 2007-05-23 Giuseppe Dito
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