Добірка наукової літератури з теми "Voisin conjectures"
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Статті в журналах з теми "Voisin conjectures":
Aprodu, Marian, and Gavril Farkas. "Green’s conjecture for curves on arbitrary K3 surfaces." Compositio Mathematica 147, no. 3 (February 15, 2011): 839–51. http://dx.doi.org/10.1112/s0010437x10005099.
Bini, Gilberto, Robert Laterveer, and Gianluca Pacienza. "Voisin’s conjecture for zero-cycles on Calabi–Yau varieties and their mirrors." Advances in Geometry 20, no. 1 (January 28, 2020): 91–108. http://dx.doi.org/10.1515/advgeom-2019-0008.
Shen, Junliang, Qizheng Yin, and Xiaolei Zhao. "Derived categories of surfaces, O’Grady’s filtration, and zero-cycles on holomorphic symplectic varieties." Compositio Mathematica 156, no. 1 (November 26, 2019): 179–97. http://dx.doi.org/10.1112/s0010437x19007735.
Schreieder, Stefan. "Refined unramified cohomology of schemes." Compositio Mathematica 159, no. 7 (June 15, 2023): 1466–530. http://dx.doi.org/10.1112/s0010437x23007236.
Raicu, Claudiu, and Steven V. Sam. "Bi-graded Koszul modules, K3 carpets, and Green's conjecture." Compositio Mathematica 158, no. 1 (January 2022): 33–56. http://dx.doi.org/10.1112/s0010437x21007703.
Shen, Junliang, and Qizheng Yin. "CATEGORIES, ONE-CYCLES ON CUBIC FOURFOLDS, AND THE BEAUVILLE–VOISIN FILTRATION." Journal of the Institute of Mathematics of Jussieu 19, no. 5 (November 5, 2018): 1601–27. http://dx.doi.org/10.1017/s147474801800049x.
Charles, François, and Alena Pirutka. "La conjecture de Tate entière pour les cubiques de dimension quatre." Compositio Mathematica 151, no. 2 (October 16, 2014): 253–64. http://dx.doi.org/10.1112/s0010437x14007386.
Pirutka, Alena. "Invariants birationnels dans la suite spectrale de Bloch-Ogus." Journal of K-theory 10, no. 3 (June 7, 2012): 565–82. http://dx.doi.org/10.1017/is012004021jkt191.
Laterveer, Robert. "Some Calabi–Yau fourfolds verifying Voisin’s conjecture." Ricerche di Matematica 67, no. 2 (January 15, 2018): 401–11. http://dx.doi.org/10.1007/s11587-018-0352-5.
Martin, Olivier. "On a conjecture of Voisin on the gonality of very general abelian varieties." Advances in Mathematics 369 (August 2020): 107173. http://dx.doi.org/10.1016/j.aim.2020.107173.
Дисертації з теми "Voisin conjectures":
Zangani, Natascia. "Voisin’s conjecture on Todorov surfaces." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/266236.
Bai, Chenyu. "Hodge Theory, Algebraic Cycles of Hyper-Kähler Manifolds." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS081.
This thesis is devoted to the study of algebraic cycles in projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It contributes to the understanding of Beauville's and Voisin's conjectures on the Chow rings of projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It also studies some birational invariants of projective hyper-Kähler manifolds.The first part of the thesis, appeared in Mathematische Zeitschrift [C. Bai, On Abel-Jacobi maps of Lagrangian families, Math. Z. 304, 34 (2023)] and presented in Chapter 2, studies whether the Lagrangian subvarieties in a hyper-Kähler manifold sharing the same cohomological class have the same Chow class as well. We study the notion of Lagrangian families and its associated Abel-Jacobi maps. We take an infinitesimal approach to give a criterion for the triviality of the Abel-Jacobi map of a Lagrangian family, and use this criterion to give a negative answer to the above question, adding to the subtleties of a conjecture of Voisin. We also explore how the maximality of the variation of the Hodge structures on the degree 1 cohomology the Lagrangian family implies the triviality of the Abel-Jacobi map. The second part of the thesis, to appear in International Mathematics Research Notices [C. Bai, On some birational invariants of hyper-Kähler manifolds, ArXiv: 2210.12455, to appear in International Mathematics Research Notices, 2024] and presented in Chapter 3, studies the degree of irrationality, the fibering gonality and the fibering genus of projective hyper-Kähler manifolds, with emphasis on the K3 surfaces case, en mettant l'accent sur le cas des surfaces K3. We first give a slight improvement of a result of Voisin on the lower bound of the degree of irrationality of Mumford-Tate general hyper-Kähler manifolds. We then study the relation of the above three birational invariants for projective K3 surfaces of Picard number 1, adding the understandinf of a conjecture of Bastianelli, De Poi, Ein, Lazarsfeld, Ullery on the asymptotic behavior of the degree of irrationality of very general projective K3 surfaces. The third part of the thesis, presented in Chapter 4, studies the higher dimensional Voisin maps on strict Calabi-Yau manifolds. Voisin constructed self-rational maps of Calabi-Yau manifolds obtained as varieties of r-planes in cubic hypersurfaces of adequate dimension. This map has been thoroughly studied in the case r=1, which is the Beauville-Donagi case. For higher dimensional cases, we first study the action of the Voisin map on the holomorphic forms. We then prove the generalized Bloch conjecture for the action of the Voisin maps on Chow groups for the case of r=2. Finally, via the study of the Voisin map, we provide evidence for a conjecture of Voisin on the existence of a special 0-cycle on strict Calabi-Yau manifolds
Zangani, Natascia. "Voisin’s conjecture on Todorov surfaces." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/266236.