Littérature scientifique sur le sujet « Transformation de Fourier-Mukai »
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Articles de revues sur le sujet "Transformation de Fourier-Mukai"
Biswas, Indranil, et Andreas Krug. « Fourier–Mukai transformation and logarithmic Higgs bundles on punctual Hilbert schemes ». Journal of Geometry and Physics 150 (avril 2020) : 103597. http://dx.doi.org/10.1016/j.geomphys.2020.103597.
Texte intégralMinamide, Hiroki, Shintarou Yanagida et 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 (1 février 2018) : 1–107. http://dx.doi.org/10.1515/crelle-2015-0010.
Texte intégralKawatani, Kotaro. « Fourier–Mukai transformations on K3 surfaces with ρ=1 and Atkin–Lehner involutions ». Journal of Algebra 417 (novembre 2014) : 103–15. http://dx.doi.org/10.1016/j.jalgebra.2014.06.022.
Texte intégralBiswas, Indranil, Umesh V. Dubey, Manish Kumar et A. J. Parameswaran. « Quot schemes and Fourier-Mukai transformation ». Complex Manifolds 10, no 1 (1 janvier 2023). http://dx.doi.org/10.1515/coma-2023-0152.
Texte intégralArvanitakis, Alex S., Christopher Blair et Dan Thompson. « A QP perspective on topology change in Poisson-Lie T-duality ». Journal of Physics A : Mathematical and Theoretical, 12 mai 2023. http://dx.doi.org/10.1088/1751-8121/acd503.
Texte intégralHausel, Tamás, et Nigel Hitchin. « Very stable Higgs bundles, equivariant multiplicity and mirror symmetry ». Inventiones mathematicae, 21 janvier 2022. http://dx.doi.org/10.1007/s00222-021-01093-7.
Texte intégralHicks, Jeffrey. « Tropical Lagrangians in toric del-Pezzo surfaces ». Selecta Mathematica 27, no 1 (6 janvier 2021). http://dx.doi.org/10.1007/s00029-020-00614-1.
Texte intégralDemulder, Saskia, et Thomas Raml. « Poisson-Lie T-duality defects and target space fusion ». Journal of High Energy Physics 2022, no 11 (29 novembre 2022). http://dx.doi.org/10.1007/jhep11(2022)165.
Texte intégralThèses sur le sujet "Transformation de Fourier-Mukai"
Liu, Haohao. « Integral points, monodromy, generic vanishing and Fourier-Mukai transform ». Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS112.
Texte intégralThis dissertation is a compilation of several loosely related results.They concern the nondensity of integral points on algebraic varieties, the Lawrence-Venkatesh-Sawin's method and complex analytic geometry.In Chapter 2, parallel to Ullmo and Yafaev's alternative principle on rational points of Shimura varieties, we show that Lang's conjecture about integral points on Shimura varieties is either true or very false.Chapter 3 is a complement to the monodromy comparison step in Lawrence-Sawin's and Krämer-Maculan's respective work. We prove that there are many characters, such that the corresponding monodromy group is normal in the generic Tannakian group.Chapter 4 contains a generic vanishing theorem for Fujiki class C. In particular, it applies to smooth proper complex algebraic varieties as well as compact Kähler manifolds. In Chapter 5, we prove an analog of the Fourier inversion formula for the Fourier-Mukai transform on complex tori. It corrects a misstatement in the literature. As an application, we recover Matsushima-Morimoto's classification of homogeneous vector bundles on complex tori.Chapter 6 is a lift of the analytic Fourier-Mukai to D-modules, whose algebraic version is studied by Laumon and Rothstein. We extend their duality result from abelian varieties to complex tori. As an application, we reprove Morimoto's theorem that on a complex torus, every vector bundle admitting a connection admits a flat connection
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.
Texte intégralIn 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
Livres sur le sujet "Transformation de Fourier-Mukai"
Huybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry. Ebsco Publishing, 2006.
Trouver le texte intégralHuybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2006.
Trouver le texte intégralHuybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry (Oxford Mathematical Monographs). Oxford University Press, USA, 2006.
Trouver le texte intégralNahm and Fourier--Mukai Transforms in Geometry and Mathematical Physics (Progress in Mathematical Physics). Birkhäuser Boston, 2006.
Trouver le texte intégralChapitres de livres sur le sujet "Transformation de Fourier-Mukai"
Leung, Naichung Conan, et Shing‐Tung Yau. « Mirror Symmetry of Fourier—Mukai Transformation for Elliptic Calabi—Yau Manifolds ». Dans The Many Facets of Geometry, 299–323. Oxford University Press, 2010. http://dx.doi.org/10.1093/acprof:oso/9780199534920.003.0015.
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