Relevant bibliographies by topics / Transformation de Fourier-Mukai

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  2. Dissertations / Theses
  3. Books
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Academic literature on the topic 'Transformation de Fourier-Mukai'

Author: Grafiati
Published: 7 September 2024

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Journal articles on the topic "Transformation de Fourier-Mukai"

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Biswas, 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.

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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 (2018): 1–107. http://dx.doi.org/10.1515/crelle-2015-0010.

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AbstractThe wall-crossing behavior for Bridgeland’s stability conditions on the derived category of coherent sheaves on K3 or abelian surface is studied. We introduce two types of walls. One is called the wall for categories, where thet-structure encoded by stability condition is changed. The other is the wall for stabilities, where stable objects with prescribed Mukai vector may get destabilized. Some fundamental properties of walls and chambers are studied, including the behavior under Fourier–Mukai transforms. A wall-crossing formula of the counting of stable objects will also be derived. A
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3

Kawatani, 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.

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Biswas, Indranil, Umesh V. Dubey, Manish Kumar, and A. J. Parameswaran. "Quot schemes and Fourier-Mukai transformation." Complex Manifolds 10, no. 1 (2023). http://dx.doi.org/10.1515/coma-2023-0152.

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Arvanitakis, Alex S., Christopher Blair, and Dan Thompson. "A QP perspective on topology change in Poisson-Lie T-duality." Journal of Physics A: Mathematical and Theoretical, May 12, 2023. http://dx.doi.org/10.1088/1751-8121/acd503.

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Abstract We describe topological T-duality and Poisson-Lie T-duality in terms of QP (differential graded symplectic) manifolds and their canonical transformations. Duality is mediated by a QP-manifold on doubled non-abelian ``correspondence'' space, from which we can perform mutually dual symplectic reductions, where certain canonical transformations play a vital role. In the presence of spectator coordinates, we show how the introduction of a bibundle structure on correspondence space realises changes in the global fibration structure under Poisson-Lie duality. Our approach can be directly tr
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6

Hausel, 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.

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AbstractWe define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for the multiplicity of the very stable components of the global nilpotent cone and its relationship to mirror symmetry. The main ingredients are the Bialynicki-Birula theory of $${\mathbb {C}}^*$$ C ∗ -actions on semiprojective varieties, $${\mathbb {C}}^*$$ C ∗ characters of indices of $${\mathbb {C}}^*$$ C ∗ -equivariant coherent sheaves, Hecke transformation for Higgs bundles, relative Fourier–Mukai transform along the Hitchin fibration, hyperholomorphic structures o
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7

Hicks, Jeffrey. "Tropical Lagrangians in toric del-Pezzo surfaces." Selecta Mathematica 27, no. 1 (2021). http://dx.doi.org/10.1007/s00029-020-00614-1.

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AbstractWe look at how one can construct from the data of a dimer model a Lagrangian submanifold in $$(\mathbb {C}^*)^n$$ ( C ∗ ) n whose valuation projection approximates a tropical hypersurface. Each face of the dimer corresponds to a Lagrangian disk with boundary on our tropical Lagrangian submanifold, forming a Lagrangian mutation seed. Using this we find tropical Lagrangian tori $$L_{T^2}$$ L T 2 in the complement of a smooth anticanonical divisor of a toric del-Pezzo whose wall-crossing transformations match those of monotone SYZ fibers. An example is worked out for the mirror pair $$(\m
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8

Demulder, Saskia, and Thomas Raml. "Poisson-Lie T-duality defects and target space fusion." Journal of High Energy Physics 2022, no. 11 (2022). http://dx.doi.org/10.1007/jhep11(2022)165.

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Abstract Topological defects have long been known to encode symmetries and dualities between physical systems. In the context of string theory, defects have been intensively studied at the level of the worldsheet. Although marked by a number of pioneering milestones, the target space picture of defects is much less understood. In this paper, we show, at the level of the target space, that Poisson-Lie T-duality can be encoded as a topological defect. With this result at hand, we can postulate the kernel capturing the Fourier-Mukai transform associated to the action of Poisson-Lie T-duality on t
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Dissertations / Theses on the topic "Transformation de Fourier-Mukai"

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Liu, Haohao. "Integral points, monodromy, generic vanishing and Fourier-Mukai transform." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS112.

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Cette thèse est une compilation de plusieurs résultats vaguement liés. Ils concernent la non-densité des points entiers sur les variétés algébriques, la méthode de Lawrence-Venkatesh-Sawin et la géométrie analytique complexe. Dans Chapitre 2, parallèlement au principe alternatif d'Ullmo et Yafaev sur les points rationnels des variétés de Shimura, nous montrons que la conjecture de Lang sur les points intégraux des variétés de Shimura est soit vraie, soit très fausse. Le Chapitre 3 est un complément à la comparaison des monodromies dans les travaux respectifs de Lawrence-Sawin et Krämer-Maculan
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2

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.

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Dans cette thèse on est intéressé à l'étude des catégories dérivées d'une variété lisse et projective sur un corps. En particulier on étude l'information géométrique et catégorielle d'une variété et sa catégorie dérivée pour mieux comprendre l'ensemble de structures monoïdales qu'on peut munir à la catégorie dérivée. La motivation de ce projet s'inspire en deux théorèmes. L'un c'est le théorème de reconstruction de Bondal-Orlov qu'établisse que la catégorie dérivée d'une variété avec diviseur (anti-)canonique ample est assez pour récupérer la variété. D'un autre côté, on a la construction du s
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Books on the topic "Transformation de Fourier-Mukai"

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Huybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry. Ebsco Publishing, 2006.

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Huybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2006.

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Huybrechts, Daniel. Fourier-Mukai Transforms in Algebraic Geometry (Oxford Mathematical Monographs). Oxford University Press, USA, 2006.

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4

Nahm and Fourier--Mukai Transforms in Geometry and Mathematical Physics (Progress in Mathematical Physics). Birkhäuser Boston, 2006.

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Book chapters on the topic "Transformation de Fourier-Mukai"

1

Leung, Naichung Conan, and Shing‐Tung Yau. "Mirror Symmetry of Fourier—Mukai Transformation for Elliptic Calabi—Yau Manifolds." In The Many Facets of Geometry. Oxford University Press, 2010. http://dx.doi.org/10.1093/acprof:oso/9780199534920.003.0015.

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