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Lv, Xin ( 吕 鑫 ) 
Title: Professor
Department: Pure Mathematics
Office: Room 219, Stat Building
Telephone: 54342646-619
Email: xlv@math.ecnu.edu.cn
Homepage: http://math.ecnu.edu.cn/~xlv
Research Interest
Algebraic Geometry
Resume
Selected Publications
Recent Publications(From MathSciNet)
MR5004799 Pending Gong, Cheng; Guo, Zhiming; Lü, Xin A note on singularity indices of hyperelliptic fibrations. Arch. Math. (Basel) 126 (2026), no. 2, 153–163. 14D05 (14D06)
Publication Year 2026 Indexed 2026-04-20
MR5000220 Pending Lü, Xin; Sun, Peng Tan's conjecture on irregular family over $\Bbb P^1$. J. Algebra 691 (2026), 488–503. 14J10 (14D06 14J29)
Publication Year 2026 Indexed 2026-02-20
MR4935840 Pending Lu, Xin; Tan, Sheng-Li Sharp bound on abelian automorphism groups of surfaces of general type. Mem. Amer. Math. Soc. 311 (2025), no. 1576, v+105 pp. ISBN: 978-1-4704-7529-1; 978-1-4704-8395-1 14J29 (14D06 14J50)
Publication Year 2025 Indexed 2025-09-09
MR4900385 Reviewed Ling, Songbo; Lü, Xin Upper bounds on the genus of hyperelliptic Albanese fibrations. Forum Math. Sigma 13 (2025), Paper No. e84, 20 pp. (Reviewer: Caryn Werner) 14J29 (14D06 14J10)
Publication Year 2025 Indexed 2025-06-12 Review Published2026-01-16
MR4885164 Reviewed Lü, Xin Unboundedness of foliated varieties. Internat. J. Math. 36 (2025), no. 6, Paper No. 2550003, 9 pp. (Reviewer: João Paulo Figueredo) 14J10 (14E30)
Publication Year 2025 Indexed 2025-05-14 Review Published2025-12-29
MR4865252 Reviewed Ling, Songbo; Lü, Xin Albanese fibrations of surfaces with low slope. Math. Ann. 391 (2025), no. 3, 4641–4671. (Reviewer: Caryn Werner) 14J29 (14D06 14J10)
Publication Year 2025 Indexed 2025-04-09 Review Published2025-10-06
MR5035768 Reviewed Lu, Xin The slope of surface fibrations. Proceedings of the International Consortium of Chinese Mathematicians 2019. Vol. 1 of 2, 697–719, Int. Press, Somerville, MA, 2024. 14D06 (14J29)
Review PDF Clipboard Series Chapter
Publication Year 2024 Indexed 2026-05-02 Review Published2026-05-14
MR4431995 Reviewed Lu, Xin; Yang, Jinbang; Zuo, Kang Strict Arakelov inequality for a family of varieties of general type. Electron. Res. Arch. 30 (2022), no. 7, 2643–2662. (Reviewer: Dawei Chen) 14H10 (14H15 32G20)
Publication Year 2022 Indexed 2022-07-18 Review Published2022-11-14
MR4371390 Reviewed Chen, Ke; Lu, Xin; Zuo, Kang Finiteness of superelliptic curves with CM Jacobians. Ann. Sci. Éc. Norm. Supér. (4) 54 (2021), no. 6, 1591–1662. (Reviewer: Pietro Mercuri) 14G35 (14H52)
Publication Year 2021 Indexed 2022-03-10 Review Published2022-06-29
MR4332480 Reviewed Chen, Ke; Lu, Xin; Zuo, Kang On CM points away from the Torelli locus. J. Lond. Math. Soc. (2) 104 (2021), no. 3, 1363–1383. (Reviewer: Amir Džambić) 14G35 (14G40 14H42)
Publication Year 2021 Indexed 2021-12-30 Review Published2022-06-08
MR4283582 Indexed Lu, Xin; Sun, Hao Corrigendum to: Slopes of non-hyperelliptic fibrations in positive characteristic. Int. Math. Res. Not. IMRN 2021, no. 13, 10408. 14D06 (14G17)
Publication Year 2021 Indexed 2021-08-16
MR4045084 Reviewed Lü, Xin Canonically fibered surfaces of general type. J. Inst. Math. Jussieu 19 (2020), no. 1, 209–229. (Reviewer: Jingshan Chen) 14J29 (14D06)
Publication Year 2020 Indexed 2020-12-29 Review Published2021-11-23
MR4012802 Reviewed Lu, Xin; Zuo, Kang On the slope conjecture of Barja and Stoppino for fibred surfaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19 (2019), no. 3, 1025–1064. (Reviewer: Hao Max Sun) 14D06 (14J29)
Publication Year 2019 Indexed 2019-11-14 Review Published2020-08-13
MR3936111 Reviewed Lu, Xin Family of curves with large unitary summand in the Hodge bundle. Math. Z. 291 (2019), no. 3-4, 1381–1387. (Reviewer: Wan-Yuan Xu) 14D06 (14H10)
Publication Year 2019 Indexed 2019-06-03 Review Published2020-05-21
MR3912646 Reviewed Lu, Xin; Zuo, Kang The Oort conjecture on Shimura curves in the Torelli locus of curves. J. Math. Pures Appl. (9) 123 (2019), 41–77. (Reviewer: Kâzım Büyükboduk) 11G15 (14D07 14G35 14H40 14K22)
Publication Year 2019 Indexed 2019-04-12 Review Published2019-11-27
MR3897429 Reviewed Lu, Xin; Zuo, Kang On Severi type inequalities for irregular surfaces. Int. Math. Res. Not. IMRN 2019, no. 1, 231–248. (Reviewer: Carlos Rito) 14J29
Publication Year 2019 Indexed 2019-03-07 Review Published2020-01-10
MR3852834 Reviewed Chen, Ke; Lu, Xin; Zuo, Kang The Oort conjecture for Shimura curves of small unitary rank. Commun. Math. Stat. 6 (2018), no. 3, 249–268. (Reviewer: Chao Li) 14G35 (11G15 14D06 14K22)
Publication Year 2018 Indexed 2018-11-20 Review Published2020-12-24
MR3824566 Reviewed Chen, Ke; Lu, Xin; Tan, Sheng-Li; Zuo, Kang On Higgs bundles over Shimura varieties of ball quotient type. Asian J. Math. 22 (2018), no. 2, 269–284. (Reviewer: Martin Orr) 14G35 (11G15 14D07 14H40)
Publication Year 2018 Indexed 2018-09-11 Review Published2019-03-13
MR3770178 Reviewed Lu, Xin; Tan, Sheng-Li; Zuo, Kang Singular fibers and Kodaira dimensions. Math. Ann. 370 (2018), no. 3-4, 1717–1728. (Reviewer: Roberto Pignatelli) 14D06 (14H10 14J29)
Publication Year 2018 Indexed 2018-05-03 Review Published2019-03-26
MR3733889 Reviewed Lu, Xin; Zuo, Kang On the gonality and the slope of a fibered surface. Adv. Math. 324 (2018), 336–354. (Reviewer: Hao Max Sun) 14D06 (14H10)
Publication Year 2018 Indexed 2018-02-12 Review Published2018-04-09

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