Qizheng Yin

(pre)publications

1. (With Davesh Maulik, Junliang Shen, and Ruxuan Zhang) The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles. arXiv:2408.14775.
2. (With Davesh Maulik and Junliang Shen) Algebraic cycles and Hitchin systems. arXiv:2407.05177.
3. (With Younghan Bae, Davesh Maulik, and Junliang Shen) On generalized Beauville decompositions. arXiv:2402.08861.
4. (With Davesh Maulik and Junliang Shen) Perverse filtrations and Fourier transforms. arXiv:2308.13160.
5. (With Davesh Maulik and Junliang Shen) Fourier-Mukai transforms and the decomposition theorem for integrable systems. Algebr. Geom., to appear.
6. (With Junliang Shen) Perverse-Hodge complexes for Lagrangian fibrations. Épijournal Géom. Algébrique, Special volume in honour of Claire Voisin (2023), Art. 6, 20 pp.
7. (With Camilla Felisetti and Junliang Shen) On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties. Trans. Amer. Math. Soc. 375 (2022), no. 4, 2987-3001.
8. (With Andrei Neguț and Georg Oberdieck) Motivic decompositions for the Hilbert scheme of points of a K3 surface. J. Reine Angew. Math. 778 (2021), 65-95.
9. (With Andrew Harder, Zhiyuan Li, and Junliang Shen) P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds. Forum Math. Sigma 9 (2021), Paper No. e50, 6 pp.
10. (With Junliang Shen, appendix by Claire Voisin) Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds. Duke Math. J. 171 (2022), no. 1, 209-241.
11. (With Georg Oberdieck and Junliang Shen) Rational curves in holomorphic symplectic varieties and Gromov-Witten invariants. Adv. Math. 357 (2019), 106829, 28 pp.
12. (With Junliang Shen) K3 categories, one-cycles on cubic fourfolds, and the Beauville-Voisin filtration. J. Inst. Math. Jussieu 19 (2020), no. 5, 1601-1627.
13. (With Dan Petersen and Mehdi Tavakol) Tautological classes with twisted coefficients. Ann. Sci. Éc. Norm. Supér. (4) 54 (2021), no. 5, 1179-1236.
14. (With Junliang Shen and Xiaolei Zhao) Derived categories of K3 surfaces, O'Grady's filtration, and zero-cycles on holomorphic symplectic varieties. Compos. Math. 156 (2020), no. 1, 179-197.
15. (With Rahul Pandharipande) Relations in the tautological ring of the moduli space of K3 surfaces. J. Eur. Math. Soc. (JEMS) 22 (2020), no. 1, 213-252.
16. (With Nebojsa Pavic and Junliang Shen) On O'Grady's generalized Franchetta conjecture. Int. Math. Res. Not. IMRN (2017), no. 16, 4971-4983.
17. (With Zhi Jiang) On the Chow ring of certain rational cohomology tori. C. R. Math. Acad. Sci. Paris 355 (2017), no. 5, 571-576.
18. (With Yi Zhu) A¹-equivalence of zero cycles on surfaces, II. Ann. K-Theory 3 (2018), no. 3, 379-393.
19. (With Jim Bryan, Georg Oberdieck, and Rahul Pandharipande) Curve counting on abelian surfaces and threefolds. Algebr. Geom. 5 (2018), no. 4, 398-463.
20. Cycles on curves and Jacobians: a tale of two tautological rings. Algebr. Geom. 3 (2016), no. 2, 179-210.
21. (With Ben Moonen) Some remarks on modified diagonals. Commun. Contemp. Math. 18 (2016), no. 1, 1550009, 16 pp.
22. Finite-dimensionality and cycles on powers of K3 surfaces. Comment. Math. Helv. 90 (2015), no. 2, 503-511.
23. Tautological cycles on curves and Jacobians. PhD thesis, Université Paris VI and Radboud Universiteit Nijmegen, 2013.
24. The generic nontriviality of the Faber-Pandharipande cycle. Int. Math. Res. Not. IMRN (2015), no. 5, 1263-1277.

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• MathSciNet