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Relevant bibliographies by topics / SYZ conjecture

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Academic literature on the topic 'SYZ conjecture'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "SYZ conjecture"

1

Martínez, Cristina. "Abelian fibrations and SYZ mirror conjecture." Comptes Rendus Mathematique 350, no. 13-14 (2012): 689–92. http://dx.doi.org/10.1016/j.crma.2012.07.011.

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2

Nye, Logan. "The SYZ Conjecture through Computational Equivalence." Advances in Pure Mathematics 15, no. 02 (2025): 145–81. https://doi.org/10.4236/apm.2025.152007.

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3

Verbitsky, Misha. "Hyperkähler Syz Conjecture and Semipositive Line Bundles." Geometric and Functional Analysis 19, no. 5 (2009): 1481–93. http://dx.doi.org/10.1007/s00039-009-0037-z.

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4

Li, Yang. "Metric SYZ conjecture for certain toric Fano hypersurfaces." Cambridge Journal of Mathematics 12, no. 1 (2024): 223–52. http://dx.doi.org/10.4310/cjm.2024.v12.n1.a3.

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5

Fang, Bohan, Chiu-Chu Melissa Liu, and Zhengyu Zong. "The SYZ mirror symmetry and the BKMP remodeling conjecture." Advances in Theoretical and Mathematical Physics 20, no. 1 (2016): 165–92. http://dx.doi.org/10.4310/atmp.2016.v20.n1.a3.

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6

Joyce, Dominic. "Singularities of special Lagrangian fibrations and the SYZ Conjecture." Communications in Analysis and Geometry 11, no. 5 (2003): 859–907. http://dx.doi.org/10.4310/cag.2003.v11.n5.a3.

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7

Chan, Kwokwai. "A glimpse of the SYZ conjecture and related developments." Notices of the International Congress of Chinese Mathematicians 4, no. 1 (2016): 14–28. http://dx.doi.org/10.4310/iccm.2016.v4.n1.a3.

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8

Sloterdijk, Peter, and Robert Hughes. "To Stir the Sleep of the World: Conjectures on Awakening." symploke 29, no. 1-2 (2021): 301–32. http://dx.doi.org/10.1353/sym.2021.0017.

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9

Yuan, Hang. "Family Floer mirror space for local SYZ singularities." Forum of Mathematics, Sigma 12 (2024). https://doi.org/10.1017/fms.2024.107.

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Abstract We give a mathematically precise statement of the SYZ conjecture between mirror space pairs and prove it for any toric Calabi-Yau manifold with the Gross Lagrangian fibration. To date, it is the first time we realize the SYZ proposal with singular fibers beyond the topological level. The dual singular fibration is explicitly written and proved to be compatible with the family Floer mirror construction. Moreover, we discover that the Maurer-Cartan set of a singular Lagrangian is only a strict subset of the corresponding dual singular fiber. This responds negatively to the previous expe

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10

Li, Yang. "Metric SYZ conjecture and non-Archimedean geometry." Duke Mathematical Journal -1, no. -1 (2023). http://dx.doi.org/10.1215/00127094-2022-0099.

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Book chapters on the topic "SYZ conjecture"

1

Bejleri, Dori. "The SYZ Conjecture via Homological Mirror Symmetry." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91626-2_13.

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Joyce, Dominic D. "Mirror Symmetry And The Syz Conjecture." In Riemannian Holonomy Groups and Calibrated Geometry. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199215607.003.0009.

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Abstract Readers are warned that this is the most flawed and unsatisfactory chapter in the book, due partly to the incompetence of the author, and partly to the nature of the subject. String theory is a huge endeavour, and difficult for mathematicians to penetrate. Mirror symmetry is not a clean mathematical statement, but a swamp of complicated, continuously evolving conjectures, which are slowly being turned into theorems. Each field would take a book far longer than this to explain properly, such as Hori et al. [166] on mirror symmetry.

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3

"Lagrangian torus fibrations of Calabi-Yau hypersurfaces in toric varieties and SYZ mirror symmetry conjecture." In Mirror Symmetry IV. American Mathematical Society, 2003. http://dx.doi.org/10.1090/amsip/033/03.

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Conference papers on the topic "SYZ conjecture"

1

Zheng, Guoping, Qing Tang, Yufa Shen, Jun Guo, and Yu Cui. "Ohba's Conjecture is True for Graphs K_6,3*t,2*(k-2t-4),1*(t+3)." In Its Applications and Embedded Sys (CDEE). IEEE, 2010. http://dx.doi.org/10.1109/cdee.2010.22.

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