Publications

Preprint:

• (with M. Chi)  On the restrictions of rational maps on linear subspaces and some applications in CR geometry. (dedicated to the memory of Professor CHEN Zhihua)

• (with Z. Tu and W. Yin) Proper holomorphic mappings among bounded symmetric domains and related Hartogs domains. (pdf)

Published:

• (with Y. Gao) A hyperplane restriction theorem for holomorphic mappings and its application for the gap conjecture. Math. Ann. (2023). https://doi.org/10.1007/s00208-023-02604-y  (pdf) 

• (with Y. Gao) Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics.  J. Math. Pures Appl. Volume 179, November 2023, 219-231. (pdf) 

• (with N. Mok) Multiplicities of the Betti Map Associated to a Section of an Elliptic Surface from a Differential-Geometric Perspective. (dedicated to the memory of Professor Nessim Sibony) J. Geom. Anal. 33, Article number 202 (2023). (pdf) 

• (with Y. Gao) On the rank of Hermitian polynomials and the SOS conjecture.  Int. Math. Res. Not. Volume 2023, Issue 13, July 2023, 11276–11290. (pdf) 

• (with S.-K. Yeung) On the syzygies of ample line bundles on fake projective planes. Taiwanese J. Math. 26(1), 49-67 (2022).  (pdf)

• (with Y. Zhu) Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries. J. Geom. Anal.  31, 11702-11713 (2021). (pdf)

• (with J. Hong) Local holomorphic mappings respecting homogeneous subspaces on rational homogeneous spaces. Math. Ann. 380(1), 885-909 (2021). (pdf)

• (with Y. Gao and A. Seo) Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls. Ann. Mat. Pura. Appl. 200, 81–99 (2021). (pdf)

• (with Y. Gao) On rational proper mappings among generalized complex balls. Asian J. Math. 22(2), 355 – 380 (2018). (Special issue in honor of Ngaiming Mok) (pdf)

• (with N. Mok) On compact splitting complex submanifolds of quotients of bounded symmetric domains. Sci. China Math. 60, 1057–1076 (2017). (pdf)

• On proper holomorphic mappings among irreducible bounded symmetric domains of rank at least 2. Proc. Amer. Math. Soc. 143(1), 219–225 (2015). (pdf)

• Holomorphic double fibration and the mapping problems of classical domains. Int. Math. Res. Not. Vol. 2015, Issue 2, 291–324 (2015). (pdf)

• Proper holomorphic mappings on SU(p,q)-type flag domains on projective spaces. Michigan Math. J. 62(4): 769-777 (2013). (pdf)

• Cycle spaces of flag domains on Grassmannians and rigidity of holomorphic mappings. Math. Res. Lett. Vol. 19, No. 6, 1219-1236, (2012). (pdf)

• (with N. Mok) Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products. J. Reine Angew. Math. Vol 669, 47-73, (2012). (pdf)

• On holomorphic isometric embeddings of the unit n-ball into products of two unit m-balls. Math. Zeit. Vol 268, No. 1-2, 347-354, (2011). (pdf)

• (with N. Mok and Z. Tu) Factorization of proper holomorphic maps on irreducible bounded symmetric domains of rank ≥ 2. Sci. Chi. Math. Vol 53, No. 3, 813-826, (2010). (pdf)

• On holomorphic isometric embeddings of the unit disk into polydisks. Proc. Amer. Math. Soc. Vol 138, 2907-2922, (2010). (pdf)

• (with N. Mok) Second fundamental forms of holomorphic isometries of the Poincare disk into bounded symmetric domains and their boundary behavior along the unit circle. Sci. Chi., Ser. A, Vol 52, No. 12, 2628-2646, (2009). (pdf)