陈猛中文主页--Publications

学历：研究生毕业
学位：博士学位
职称：教授
在职信息：在职
主要任职：教师
博士生导师
硕士生导师

Publications

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Here is a selective list of my papers:

Meng Chen, Chen Jiang, Jianshi Yan. On the bicanonical map of algebraic threefolds of general type, Acta Math Sinica (to appear). arXiv: 2305.19960
Meng Chen, Chen Jiang, Binru Li. On minimal varieties growing from quasismooth weighted hypersurfaces, Journal of Differential Geometry (to appear). ArXiv: 2005.09828
Meng Chen, Louis Esser, Chengxi Wang. On explicit birational geometry for minimal n-folds of canonical dimension n-1, Bull. London Math. Soc., 56 (2024), Issue 1, 319--337
Meng Chen, Yong Hu, Matteo Penegini, On projective 3-folds of general type with pg=2. Recent developments in algebraic geometry—to Miles Reid for his 70th birthday, 20–65, London Math. Soc. Lecture Note Ser., 478, Cambridge Univ. Press, Cambridge, 2022.
Meng Chen, Yong Hu. On an open problem of characterizing the birationality of 4K, Communications in Analysis and Geometry 29 (2021), No. 7, 1545--1557.
Meng Chen, Yong Hu, Matteo Penegini. On 3-folds of general type with small positive geometric genus, Electronic Research Archive 29 (2021), No. 3, 2293--2323.
Jheng-Jie Chen, Jungkai A. Chen, Meng Chen, Zhi Jiang, On quint-canonical birationality of irregular threefolds, Proc. Lond. Math. Soc. 122 (2021), 234–258. (doi: 10.1112/plms.12348)
Meng Chen, Chen Jiang. On the anti-canonical geometry of weak Q-Fano threefolds, II. Ann. Inst. Fourier (Grenoble) 70 (2020), no. 6, 2473–2542.
Jungkai A. Chen, Meng Chen, Chen Jiang, Addendum to “The Noether Inequality for Algebraic Threefolds”, Duke Math. J. 169 (2020), No. 11, 2199–2204.
Jungkai A. Chen, Meng Chen, Chen Jiang. The Noether inequality for algebraic threefolds. Duke Math. J. 169 (2020), No. 9, 1603–1645.
Jungkai A. Chen, Meng Chen. On explicit aspect of pluricanonical maps of projective varieties, Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018. Vol. II. Invited lectures, 653–670, World Sci. Publ., Hackensack, NJ, 2018.
Meng Chen, On minimal 3-folds of general type with maximal pluricanonical section index, Asian Journal of Mathematics 22 ( 2018), No. 2, 257–268.
Meng Chen, Zhi Jiang. A reduction of canonical stability index of 4 and 5 dimensional projective varieties with large volume. Ann. Inst. Fourier (Grenoble) 67 (2017), no. 5, 2043–2082.
Meng Chen; Chen Jiang. On the anti-canonical geometry of Q-Fano 3-folds. J. Diff. Geom. 104 (2016), 59–109.
Meng Chen; Qi Zhang. Characterization of the 4-canonical birationality of algebraic threefolds, II. Math. Z. 283 (2016), no. 3-4, 659–677.
Jungkai A. Chen; Meng Chen. Explicit birational geometry of 3-folds and 4-folds of general type, III. Compos. Math. 151 (2015), no. 6, 1041–1082.
Jungkai A. Chen; Meng Chen. The Noether inequality for Gorenstein minimal 3-folds. Comm. Anal. Geom. 23 (2015), no. 1, 1–9.
Jungkai A. Chen; Meng Chen; Zhi Jiang. On 6-canonical map of irregular threefolds of general type. Math. Res. Lett. 20 (2013), no. 1, 19–25.
Meng Chen; Qi Zhang. On a question of Demailly-Peternell-Schneider. J. Eur. Math. Soc. (JEMS) 15 (2013), no. 5, 1853–1858.
Jheng-Jie Chen; Jungkai A. Chen; Meng Chen. On quasismooth weighted complete intersections. J. Algebraic Geom. 20 (2011), no. 2, 239–262.
Jungkai A. Chen; Meng Chen. Explicit birational geometry of 3-folds of general type, II. J. Differential Geom. 86 (2010), no. 2, 237–271.
Jungkai A. Chen; Meng Chen. Explicit birational geometry of threefolds of general type, I. Ann. Sci. Éc. Norm. Supér. (4) 43 (2010), no. 3, 365–394.
Jungkai A. Chen; Meng Chen. The canonical volume of 3-folds of general type with χ≤0. J. Lond. Math. Soc. (2) 78 (2008), no. 3, 693–706.
Jungkai A. Chen; Meng Chen. An optimal boundedness on weak ℚ-Fano 3-folds. Adv. Math. 219 (2008), no. 6, 2086–2104.
Meng Chen; Kang Zuo. Complex projective 3-fold with non-negative canonical Euler-Poincaré characteristic. Comm. Anal. Geom. 16 (2008), no. 1, 159–182.
Meng Chen; De-Qi Zhang. Characterization of the 4-canonical birationality of algebraic threefolds. Math. Z. 258 (2008), no. 3, 565–585.
Jungkai A. Chen; Meng Chen; De-Qi Zhang. The 5-canonical system on 3-folds of general type. J. Reine Angew. Math. 603 (2007), 165–181.
Meng Chen. A sharp lower bound for the canonical volume of 3-folds of general type. Math. Ann. 337 (2007), no. 4, 887–908.
Fabrizio Catanese; Meng Chen; De-Qi Zhang. The Noether inequality for smooth minimal 3-folds. Math. Res. Lett. 13 (2006), no. 4, 653–666.
Meng Chen. Minimal threefolds of small slope and the Noether inequality for canonically polarized threefolds. Math. Res. Lett. 11 (2004), no. 5-6, 833–852.

Preprints

Meng Chen, Zhi Jiang. On varieties of general type with many global k-forms, 41 pages, arXiv: 2211.00926
Meng Chen, Hexu Liu. A lifting principle for canonical stability indices of varieties of general type, arXiv: 2310.00651