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We consider two embeddings between Grassmannians and study the associated morphisms between the corresponding Chow rings.

Algebraic Geometry · Mathematics 2007-05-23 Georges Elencwajg , Patrick Le Barz

This is Addendum to ``Structure of seeds in generalized cluster algebras'', Pacific J. Math. {277} (2015), 201--218. We extend the class of generalized cluster algebras studied therein to embrace examples in some applications.

Rings and Algebras · Mathematics 2024-06-13 Tomoki Nakanishi

This text is an appendix to our work "On the growth of Kronecker coefficients", arXiv:1607.02887. Here, we provide some complementary theorems, remarks, and calculations that for the sake of space are not going to appear into the final…

Representation Theory · Mathematics 2016-11-23 Emmanuel Briand , Amarpreet Rattan , Mercedes Rosas

Based on the Basis theorem of Bruhat--Chevalley [C] and the formula for multiplying Schubert classes obtained in [D\QTR{group}{u}] and programed in [DZ$_{\QTR{group}{1}}$], we introduce a new method computing the Chow rings of flag…

Algebraic Geometry · Mathematics 2014-01-14 Haibao Duan , Xuezhi Zhao

We complement our previous computation of the Chow-Witt rings of classifying spaces of special linear groups by an analogous computation for the general linear groups. This case involves discussion of non-trivial dualities. The computation…

Algebraic Geometry · Mathematics 2024-03-27 Matthias Wendt

This should be the final version of this paper. Numberous minor improvements have been made to the manuscript, one argument has been corrected, and an appendix has been added.

Algebraic Geometry · Mathematics 2007-05-23 Richard Hain , Makoto Matsumoto

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

We generalize first-species counterpoint theory to arbitrary rings and obtain some new counting and maximization results that enrich the theory of admitted successors, pointing to a structural approach, beyond computations. The…

Rings and Algebras · Mathematics 2024-01-17 Juan Sebastián Arias-Valero , Octavio A. Agustín-Aquino , Emilio Lluis-Puebla

This an expository article on Givental's axiomatic Gromov--Witten theory and some of its applications.

Algebraic Geometry · Mathematics 2008-09-11 Y. -P. Lee

We begin a study of the intersection theory of the moduli spaces of degree two stable maps from two-pointed rational curves to arbitrary-dimensional projective space. First we compute the Betti numbers of these spaces using Serre polynomial…

Algebraic Geometry · Mathematics 2008-04-24 Jonathan A. Cox

In this appendix we provide additional supplementary material to "A Collective, Probabilistic Approach to Schema Mapping." We include an additional extended example, supplementary experiment details, and proof for the complexity result…

Databases · Computer Science 2017-02-14 Angelika Kimmig , Alex Memory , Renee J. Miller , Lise Getoor

We provide some necessary details to several arguments appearing in our previous paper ``Canonical bases for quantum generalized Kac-Moody algebras''. We also make the link with some other work on the same subject.

Quantum Algebra · Mathematics 2007-11-14 S. -J. Kang , O. Schiffmann

This paper introduces a notion of fundamental group appropriate for laminations.

Differential Geometry · Mathematics 2007-05-23 T. M. Gendron

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

This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that were omitted in it.

Combinatorics · Mathematics 2010-02-02 Edward D. Kim , Francisco Santos

In the paper are proved theorems, which amplify the results of my paper "On the difference equation of Poincare type (Part 3)", Max-Plank-Institut fuer Mathematik, Bonn, Preprint Series, 2004, 09, 1-34.

Number Theory · Mathematics 2007-05-23 L. A. Gutnik

This paper investigates the theory of lattices, focusing on extending lattices relative to abstract classes, modular lattices, and torsion lattices. Definitions of type-1 and type-2 extending lattices are provided, along with their weakly…

Rings and Algebras · Mathematics 2025-09-30 Jesus Adrian Celis-González , Hugo Alberto Rincón-Mejía

This is an appendix to arXiv:1610.04888, "Quantitative null-cobordism", which improves one of the main results of that paper to a near-sharp one. It is not a self-contained paper.

Geometric Topology · Mathematics 2018-05-17 Fedor Manin , Shmuel Weinberger

The general theory of Grothendieck categories is presented. We systemize the principle methods and results of the theory, showing how these results can be used for studying rings and modules.

Category Theory · Mathematics 2007-05-23 Grigory Garkusha

The note complements topological aspects of the theory of chiral algebras.

Quantum Algebra · Mathematics 2007-11-19 A. Beilinson
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