Добірка наукової літератури з теми "Transformations de Fourier-Mukai"
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Статті в журналах з теми "Transformations de Fourier-Mukai"
Minamide, Hiroki, Shintarou Yanagida, and Kōta Yoshioka. "The wall-crossing behavior for Bridgeland’s stability conditions on abelian and K3 surfaces." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 735 (February 1, 2018): 1–107. http://dx.doi.org/10.1515/crelle-2015-0010.
Повний текст джерелаKawatani, Kotaro. "Fourier–Mukai transformations on K3 surfaces with ρ=1 and Atkin–Lehner involutions". Journal of Algebra 417 (листопад 2014): 103–15. http://dx.doi.org/10.1016/j.jalgebra.2014.06.022.
Повний текст джерелаBiswas, Indranil, and Andreas Krug. "Fourier–Mukai transformation and logarithmic Higgs bundles on punctual Hilbert schemes." Journal of Geometry and Physics 150 (April 2020): 103597. http://dx.doi.org/10.1016/j.geomphys.2020.103597.
Повний текст джерелаHicks, Jeffrey. "Tropical Lagrangians in toric del-Pezzo surfaces." Selecta Mathematica 27, no. 1 (January 6, 2021). http://dx.doi.org/10.1007/s00029-020-00614-1.
Повний текст джерелаDemulder, Saskia, and Thomas Raml. "Poisson-Lie T-duality defects and target space fusion." Journal of High Energy Physics 2022, no. 11 (November 29, 2022). http://dx.doi.org/10.1007/jhep11(2022)165.
Повний текст джерелаHausel, Tamás, and Nigel Hitchin. "Very stable Higgs bundles, equivariant multiplicity and mirror symmetry." Inventiones mathematicae, January 21, 2022. http://dx.doi.org/10.1007/s00222-021-01093-7.
Повний текст джерелаДисертації з теми "Transformations de Fourier-Mukai"
Toledo, 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 "Transformations de Fourier-Mukai"
Fourier-Mukai transforms in algebraic geometry. Oxford: Clarendon, 2006.
Знайти повний текст джерелаHuybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry. Ebsco Publishing, 2006.
Знайти повний текст джерелаHuybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2006.
Знайти повний текст джерелаHuybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry (Oxford Mathematical Monographs). Oxford University Press, USA, 2006.
Знайти повний текст джерелаNahm and Fourier--Mukai Transforms in Geometry and Mathematical Physics (Progress in Mathematical Physics). Birkhäuser Boston, 2006.
Знайти повний текст джерелаЧастини книг з теми "Transformations de Fourier-Mukai"
Leung, Naichung Conan, and Shing‐Tung Yau. "Mirror Symmetry of Fourier—Mukai Transformation for Elliptic Calabi—Yau Manifolds." In The Many Facets of Geometry, 299–323. Oxford University Press, 2010. http://dx.doi.org/10.1093/acprof:oso/9780199534920.003.0015.
Повний текст джерела