Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras
O Iyama, I Reiten - American Journal of Mathematics, 2008 - muse.jhu.edu
We say that an algebra $\Lambda $ over a commutative noetherian ring $ R $ is Calabi-Yau
of dimension $ d $($ d $-CY) if the shift functor $[d] $ gives a Serre functor on the bounded …
of dimension $ d $($ d $-CY) if the shift functor $[d] $ gives a Serre functor on the bounded …
[图书][B] Derived categories
A Yekutieli - 2019 - books.google.com
" Ha habido muy pocas exposiciones sistemáticas de la teoría de las categorías derivadas
desde su inicio en el trabajo de Grothendieck y Verdier en la década de 1960. Este libro es …
desde su inicio en el trabajo de Grothendieck y Verdier en la década de 1960. Este libro es …
The periodicity conjecture for pairs of Dynkin diagrams
B Keller - Annals of Mathematics, 2013 - JSTOR
The periodicity conjecture for pairs of Dynkin diagrams Page 1 Annals of Mathematics 177 (2013),
111-170 http: / / dx.doi.org/10.4007/ annals. 2013.177.1.3 The periodicity conjecture for pairs …
111-170 http: / / dx.doi.org/10.4007/ annals. 2013.177.1.3 The periodicity conjecture for pairs …
New perspectives on categorical Torelli theorems for del Pezzo threefolds
Let $ Y_d $ be a del Pezzo threefold of Picard rank one and degree $ d\geq 2$. In this
paper, we apply two different viewpoints to study $ Y_d $ via a particular admissible …
paper, we apply two different viewpoints to study $ Y_d $ via a particular admissible …
[HTML][HTML] Triangle singularities, ADE-chains, and weighted projective lines
D Kussin, H Lenzing, H Meltzer - Advances in Mathematics, 2013 - Elsevier
We study the singularity category of the triangle singularity f= xa+ yb+ zc, or S= k [x, y, z]/(f),
attached to the weighted projective line X, given by the weight triple (a, b, c), by investigating …
attached to the weighted projective line X, given by the weight triple (a, b, c), by investigating …
Homological classification of 4d = 2 QFT. Rank-1 revisited
M Caorsi, S Cecotti - Journal of High Energy Physics, 2019 - Springer
A bstract Argyres and co-workers started a program to classify all 4d\(\mathcal {N}\)= 2 QFT
by classifying Special Geometries with appropriate properties. They completed the program …
by classifying Special Geometries with appropriate properties. They completed the program …
n-representation-finite algebras and twisted fractionally Calabi–Yau algebras
M Herschend, O Iyama - Bulletin of the London Mathematical …, 2011 - academic.oup.com
In this paper, we study n-representation-finite algebras from the viewpoint of the fractionally
Calabi–Yau property. We shall show that all n-representation-finite algebras are twisted …
Calabi–Yau property. We shall show that all n-representation-finite algebras are twisted …
[图书][B] Representation theory of Geigle-Lenzing complete intersections
M Herschend, O Iyama, H Minamoto, S Oppermann - 2023 - ams.org
Weighted projective lines, introduced by Geigle and Lenzing in 1987, are important objects
in representation theory. They have tilting bundles, whose endomorphism algebras are the …
in representation theory. They have tilting bundles, whose endomorphism algebras are the …
[PDF][PDF] Fourier-Mukai transforms
L Hille, MV Bergh - arXiv preprint math/0402043, 2004 - arxiv.org
arXiv:math/0402043v2 [math.AG] 18 Jan 2005 Page 1 arXiv:math/0402043v2 [math.AG] 18
Jan 2005 Fourier-Mukai Transforms Lutz Hille and Michel Van den Bergh October 23, 2018 …
Jan 2005 Fourier-Mukai Transforms Lutz Hille and Michel Van den Bergh October 23, 2018 …
Picard groups, Grothendieck rings, and Burnside rings of categories
JP May - Advances in Mathematics, 2001 - Elsevier
Picard Groups, Grothendieck Rings, and Burnside Rings of Categories Page 1 1 ⁄ 0001-8708/01
$35.00 Copyright © 2001 by Academic Press All rights of reproduction in any form reserved …
$35.00 Copyright © 2001 by Academic Press All rights of reproduction in any form reserved …