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Статті в журналах з теми "Tensor triangulated categories"
GARKUSHA, GRIGORY. "R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES." Journal of Algebra and Its Applications 09, no. 06 (December 2010): 1001–14. http://dx.doi.org/10.1142/s0219498810004361.
Повний текст джерелаSteen, Johan, and Greg Stevenson. "Strong generators in tensor triangulated categories." Bulletin of the London Mathematical Society 47, no. 4 (June 17, 2015): 607–16. http://dx.doi.org/10.1112/blms/bdv037.
Повний текст джерелаBalchin, Scott, and J. P. C. Greenlees. "Adelic models of tensor-triangulated categories." Advances in Mathematics 375 (December 2020): 107339. http://dx.doi.org/10.1016/j.aim.2020.107339.
Повний текст джерелаKlein, Sebastian. "Chow groups of tensor triangulated categories." Journal of Pure and Applied Algebra 220, no. 4 (April 2016): 1343–81. http://dx.doi.org/10.1016/j.jpaa.2015.09.006.
Повний текст джерелаDell’Ambrogio, Ivo, and Donald Stanley. "Affine weakly regular tensor triangulated categories." Pacific Journal of Mathematics 285, no. 1 (September 27, 2016): 93–109. http://dx.doi.org/10.2140/pjm.2016.285.93.
Повний текст джерелаBiglari, Shahram. "A Künneth formula in tensor triangulated categories." Journal of Pure and Applied Algebra 210, no. 3 (September 2007): 645–50. http://dx.doi.org/10.1016/j.jpaa.2006.11.005.
Повний текст джерелаBanerjee, Abhishek. "A topological nullstellensatz for tensor-triangulated categories." Comptes Rendus Mathematique 356, no. 4 (April 2018): 365–75. http://dx.doi.org/10.1016/j.crma.2018.02.012.
Повний текст джерелаXu, Fei. "Spectra of tensor triangulated categories over category algebras." Archiv der Mathematik 103, no. 3 (September 2014): 235–53. http://dx.doi.org/10.1007/s00013-014-0684-7.
Повний текст джерелаBalmer, Paul. "Homological support of big objects in tensor-triangulated categories." Journal de l’École polytechnique — Mathématiques 7 (August 4, 2020): 1069–88. http://dx.doi.org/10.5802/jep.135.
Повний текст джерелаBalmer, Paul. "The spectrum of prime ideals in tensor triangulated categories." Journal für die reine und angewandte Mathematik (Crelles Journal) 2005, no. 588 (November 2005): 149–68. http://dx.doi.org/10.1515/crll.2005.2005.588.149.
Повний текст джерелаДисертації з теми "Tensor triangulated categories"
Sigstad, Henrik. "Subcategory Classifications in Tensor Triangulated Categories." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-12938.
Повний текст джерелаDell'Ambrogio, Ivo. "Prime tensor ideals in some triangulated categories of C*-algebras /." Zürich : ETH, 2008. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=17939.
Повний текст джерелаCarissimi, Nicola. "Reconstruction of schemes via the tensor triangulated category of perfect complexes." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/23343/.
Повний текст джерелаToledo, Castro Angel Israel. "Espaces de produits tensoriels sur la catégorie dérivée d'une variété." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4001.
Повний текст джерелаIn this thesis we are interested in studying derived categories of smooth projective varieties over a field. Concretely, we study the geometric and categorical information from the variety and from it's derived category in order to understand the set of monoidal structures one can equip the derived category with. The motivation for this project comes from two theorems. The first is Bondal-Orlov reconstruction theorem which says that the derived category of a variety with ample (anti-)canonical bundle is enough to recover the variety. On the other hand, we have Balmer's spectrum construction which uses the derived tensor product to recover a much larger number of varieties from it's derived category of perfect complexes as a monoidal category. The existence of different monoidal structure is in turn guaranteed by the existence of varieties with equivalent derived categories. We have as a goal then to understand the role of the tensor products in the existence (or not ) of these sort of varieties. The main results we obtained are If X is a variety with ample (anti-)canonical bundle, and ⊠ is a tensor triangulated category on Db(X) such that the Balmer spectrum Spc(Db(X),⊠) is isomorphic to X, then for any F,G∈Db(X) we have F⊠G≃F⊗G where ⊗ is the derived tensor product. We have used Toën's Morita theorem for dg-categories to give a characterization of a truncated structure in terms of bimodules over a product of dg-algebras, which induces a tensor triangulated category at the level of homotopy categories. We studied the deformation theory of these structures in the sense of Davydov-Yetter cohomology, concretely showing that there is a relationship between one of these cohomology groups and the set of associators that the tensor product can deform into. We utilise techniques at the level of triangulated categories and also perspectives from higher category theory like dg-categories and quasi-categories
Книги з теми "Tensor triangulated categories"
Balchin, Scott, David Barnes, Magdalena Kędziorek, and Markus Szymik, eds. Equivariant Topology and Derived Algebra. Cambridge University Press, 2021. http://dx.doi.org/10.1017/9781108942874.
Повний текст джерелаЧастини книг з теми "Tensor triangulated categories"
Steen, Johan. "Strong Generators in Tensor Triangulated Categories." In Trends in Mathematics, 149–53. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45441-2_26.
Повний текст джерелаStevenson, Greg. "A Tour of Support Theory for Triangulated Categories Through Tensor Triangular Geometry." In Advanced Courses in Mathematics - CRM Barcelona, 63–101. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-70157-8_2.
Повний текст джерела