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Related papers: Erratum to: Birationally rigid hypersurfaces

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In our previous work "Characterization of certain homorphic geodesic cycles on Hermitian locally symmetric manifolds of the noncompact type" in "Modern methods in Complex Analysis" Annals of Math. Studies 138 (1995) 85-118, we formulated a…

Algebraic Geometry · Mathematics 2007-05-23 Philippe Eyssidieux , Ngaiming Mok

In this note we correct two errors in our paper "On the Homology of Completion and Torsion", arXiv:1010.4386, that appeared in Algebras and Representation Theory (2014).

Commutative Algebra · Mathematics 2015-06-26 Marco Porta , Liran Shaul , Amnon Yekutieli

We prove a general duality theorem for tangle-like dense objects in combinatorial structures such as graphs and matroids. This paper continues, and assumes familiarity with, the theory developed in [6]

Combinatorics · Mathematics 2014-06-17 Reinhard Diestel , Sang-il Oum

We develop the quadratic technique of proving birational rigidity of Fano-Mori fibre spaces over a higher-dimensional base. As an application, we prove birational rigidity of generic fibrations into Fano double spaces of dimension…

Algebraic Geometry · Mathematics 2017-12-15 Aleksandr V. Pukhlikov

The uniqueness argument in the proof of Theorem 5, p. 483, of "Small noise asymptotics for invariant densities for a class of diffusions: a control theoretic view, J. Math. Anal. and Appl. (2009) " is flawed. We give here a corrected proof.

Probability · Mathematics 2011-07-13 Anup Biswas , Vivek S. Borkar

Published in Hadrons, Nuclei and Applications, World Scientific, Singapore, Proc.of the Conference Bologna2000. Structure of the Nucleus at the Dawn of the Century, G. Bonsignori, M. Bruno, A. Ventura, D. Vretenar Editors, pag. 319.

Nuclear Theory · Physics 2019-08-17 M. A. Perez-Garcia , J. Diaz-Alonso , L. Mornas , J. P. Suarez

In this paper, we prove a dihedral extremality and rigidity theorem for a large class of codimension zero submanifolds with polyhedral boundary in warped product manifolds. We remark that the spaces considered in this paper are not…

Differential Geometry · Mathematics 2025-10-22 Jinmin Wang , Zhizhang Xie

An error occurs in a part of the statement and proof of Proposition 2.2 in Jour. Math. Anal. and Appl., 476, (2019), 53-85 that is corrected in this erratum. The revised result reveals a new and unexpected critical phenomenon, having…

Probability · Mathematics 2023-08-08 Radu Dascaliuc , Tuan N. Pham , Enrique A. Thomann , Edward C. Waymire

In this paper we present a generalisation of a theorem due to Cornalba and Harris, which is an application of Geometric Invariant Theory to the study of invariants of fibrations. In particular, our generalisation makes it possible to treat…

Algebraic Geometry · Mathematics 2008-08-18 Lidia Stoppino

Conditions, related to the so-called bending problem are considered for hypersurfaces of a pseudo-Euclidean space. Corresponding theorems are proved.

Differential Geometry · Mathematics 2010-08-31 Ognian Kassabov

We study $\lambda$-hypersurfaces that are critical points of a Gaussian weighted area functional $\int_{\Sigma} e^{-\frac{|x|^2}{4}}dA$ for compact variations that preserve weighted volume. First, we prove various gap and rigidity theorems…

Differential Geometry · Mathematics 2019-08-06 Qiang Guang

In earlier papers we introduced a representation of isotopy classes of compact surfaces embedded in the three-sphere by so called rectangular diagrams. The formalism proved useful for comparing Legendrian knots. The aim of this paper is to…

Geometric Topology · Mathematics 2021-03-31 Ivan Dynnikov , Maxim Prasolov

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

An erratum to this article is posted at https://gcc.episciences.org/page/errata This paper generalizes results of M. Moon on the fibering of certain compact 3-manifolds over the circle. It also generalizes a theorem of H. B. Griffiths on…

Geometric Topology · Mathematics 2023-06-22 Jordan A. Sahattchieve

Misprints and numerical coefficients corrected, a bit of phenomenology and one figure added. The case for the linear evolution of the unitarized structure functions made stronger.

High Energy Physics - Phenomenology · Physics 2014-11-17 N. N. Nikolaev , B. G. Zakharov

It has been pointed out by counterexamples in a 2013 paper in the IEEE Transactions on Computers [1], that there is an error in the previously ibid.\ in 2005 published paper [2] on the construction of valid digit selection tables for SRT…

Hardware Architecture · Computer Science 2014-11-25 Peter Kornerup

This paper has been withdrawn by the author due to the physically inconsistent assumption of constant slip velocity, instead, see a new improved model - physics/0201045.

Geophysics · Physics 2007-05-23 David Tsiklauri

We prove two special cases of a conjecture of J. Fern\'andez de Bobadilla for hypersurfaces with $1$-dimensional critical loci. We do this via a new numerical invariant for such hypersurfaces, called the beta invariant, first defined and…

Algebraic Geometry · Mathematics 2015-12-04 Brian Hepler , David B. Massey

In this note, we study various measures of irrationality for hypersurfaces in projective spaces which were recently proposed by Bastianelli, De Poi, Ein, Lazarsfeld and Ullery. In particular, we answer the question raised by Bastianelli…

Algebraic Geometry · Mathematics 2020-10-19 Ruijie Yang

This is an elementary geometrical proof of Birkhoff theorem. It is hardly important, but the pictures behind are quite nice.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pavol Severa