Literatura académica sobre el tema "Tensor triangulated categories"
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Artículos de revistas sobre el tema "Tensor triangulated categories"
GARKUSHA, GRIGORY. "R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES". Journal of Algebra and Its Applications 09, n.º 06 (diciembre de 2010): 1001–14. http://dx.doi.org/10.1142/s0219498810004361.
Texto completoSteen, Johan y Greg Stevenson. "Strong generators in tensor triangulated categories". Bulletin of the London Mathematical Society 47, n.º 4 (17 de junio de 2015): 607–16. http://dx.doi.org/10.1112/blms/bdv037.
Texto completoBalchin, Scott y J. P. C. Greenlees. "Adelic models of tensor-triangulated categories". Advances in Mathematics 375 (diciembre de 2020): 107339. http://dx.doi.org/10.1016/j.aim.2020.107339.
Texto completoKlein, Sebastian. "Chow groups of tensor triangulated categories". Journal of Pure and Applied Algebra 220, n.º 4 (abril de 2016): 1343–81. http://dx.doi.org/10.1016/j.jpaa.2015.09.006.
Texto completoDell’Ambrogio, Ivo y Donald Stanley. "Affine weakly regular tensor triangulated categories". Pacific Journal of Mathematics 285, n.º 1 (27 de septiembre de 2016): 93–109. http://dx.doi.org/10.2140/pjm.2016.285.93.
Texto completoBiglari, Shahram. "A Künneth formula in tensor triangulated categories". Journal of Pure and Applied Algebra 210, n.º 3 (septiembre de 2007): 645–50. http://dx.doi.org/10.1016/j.jpaa.2006.11.005.
Texto completoBanerjee, Abhishek. "A topological nullstellensatz for tensor-triangulated categories". Comptes Rendus Mathematique 356, n.º 4 (abril de 2018): 365–75. http://dx.doi.org/10.1016/j.crma.2018.02.012.
Texto completoXu, Fei. "Spectra of tensor triangulated categories over category algebras". Archiv der Mathematik 103, n.º 3 (septiembre de 2014): 235–53. http://dx.doi.org/10.1007/s00013-014-0684-7.
Texto completoBalmer, Paul. "Homological support of big objects in tensor-triangulated categories". Journal de l’École polytechnique — Mathématiques 7 (4 de agosto de 2020): 1069–88. http://dx.doi.org/10.5802/jep.135.
Texto completoBalmer, Paul. "The spectrum of prime ideals in tensor triangulated categories". Journal für die reine und angewandte Mathematik (Crelles Journal) 2005, n.º 588 (noviembre de 2005): 149–68. http://dx.doi.org/10.1515/crll.2005.2005.588.149.
Texto completoTesis sobre el tema "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.
Texto completoDell'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.
Texto completoCarissimi, 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/.
Texto completoToledo, 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.
Texto completoIn 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
Libros sobre el tema "Tensor triangulated categories"
Balchin, Scott, David Barnes, Magdalena Kędziorek y Markus Szymik, eds. Equivariant Topology and Derived Algebra. Cambridge University Press, 2021. http://dx.doi.org/10.1017/9781108942874.
Texto completoCapítulos de libros sobre el tema "Tensor triangulated categories"
Steen, Johan. "Strong Generators in Tensor Triangulated Categories". En Trends in Mathematics, 149–53. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45441-2_26.
Texto completoStevenson, Greg. "A Tour of Support Theory for Triangulated Categories Through Tensor Triangular Geometry". En 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.
Texto completo