江智

个人信息Personal Information

教师拼音名称:jiangzhi

学科:基础数学

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Publications

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My articles can be found in arXiv or Mathscinet.

[31] With Songsong Huang and Xin Yang, On the irrationality degree of abelian surfaces, arXiv:2609.02169.

[30] with Meng Chen, On general type varieties admitting global holomorphic forms, arXiv:2211.00926.

[29] With Jiabin Du and Guoyun Zhang, Cohomological rank functions and surfaces of general type with p_g=q=2. Math. Ann. 393 (2025), no. 1, 1–38.

[28] Cohomological support loci and pluricanonical systems on irregular varieties. Ann. Inst. Fourier (Grenoble) 75 (2025), no. 1, 359–377.

[27] Syzygies of some rational homogeneous varieties. Bull. Soc. Math. France 153 (2025), no. 3, 767–791.

[26]  Angehrn-Siu-Helmke's method applied to abelian varieties. Forum Math. Sigma 11 (2023), Paper No. e38, 16 pp. 

[25] With Hui Liu, Singularities of divisors of small degrees on abelian varieties. Math. Z. 309 (2025), no. 2, Paper No. 29, 21 pp.

[24] With W. Liu and H. Zhao, On numerically trivial automorphisms of threefolds of general type. Math. Res. Lett. 30 (2023), no. 6, 1751–1785.

[23] Cohomological rank functions and Syzygies of abelian varieties, Math. Z. 300 (2022), no. 4, 3341–3355.

[22] M-regular decompositions for pushforwards of pluricanonical bundles of pairs to abelian varieties,  Int. Math. Res. Not. IMRN 2022, no. 13, 9708–9721.

[21] With J.Chen, J.A. Chen, M.Chen, On quint-canonical birationality of irregular threefolds, Proc. Lond. Math. Soc. (3) 122 (2021), no. 2, 234–258.

[20] On Severi type inequalities, Math. Ann. 379 (2021), no. 1-2, 133–158.

[19] With G.Pareschi,Cohomological rank functions on abelian varieties, Ann. Sc. École Norm. Sup. 53 (2020) 815–846

[18] Some results on the eventual paracanonical maps, arXiv:1611.07141.

[17] With J.A. Chen and Z.Tian,  Irregular varieties with geometric genus one, theta divisors, and fake tori, Adv. Math.320 (2017), 361–390.

[16] With Q. Yin,  On the Chow rings of certain rational cohomology tori, C. R. Math. Acad. Sci. Paris 355 (2017), no. 5, 571–576.

[15] With O. Debarre and M. Lahoz, appendix by W. Sawin,  Rational cohomology tori, Geom. Topol. 21 (2017), 1095–1130.

[14] With M. Chen, 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.

[13] With J.A. Chen, Positivity in varieties of maximal Albanese dimension, J. Reine Angew. Math.736 (2018), 225–253.

[12] With M. Chen, Unboundedness of fiber invariants of canonically fibred varieties of general type, Bulletin of the London Math. Soc. 46 (2014), 1183–1188.

[11] With M. Lahoz and S. Tirabassi, Characterization of products of theta divisors, Compos. Math. 150 (2014), no. 8, 1384–1412.

[10] With O. Debarre et C. Voisin, Pseudo-effective classes and pushforwards, Pure Appl. Math. Q. 9 (2013), 64–664.

[9] With J.A. Chen and M. Chen, ON 6-canonical map of irregular threefolds of general type, Math. Res Lett. 20 (2013), 33–39.

[8] With H. Sun, Cohomological support loci of varieties of Albanese fiber dimension one, Trans. Amer. Math. Soc. 367 (2015), 103–119.

[7] With M. Lahoz and S. Tirabassi, On the Iitaka fibration of varieties of maximal Albanese dimension, Int. Math. Res. Not. (2013), no. 13, 2984–3005.

[6] With J.A. Chen and O. Debarre, Varieties with vanishing holomorphic Euler characteristic, J. reine angew. Math. 691 (2014), 203–227.

[5] A Noether-Lefschetz Theorem for varieties of r-planes, Nagoya Math. J. 206 (2012), 39–66.

[4] On varieties of maximal Albanese dimension, Manuscripta Math. 138, Numbers 1-2 (2012),203–219

[3] Varieties with q(X)=dim(X) and P2(X)=2, Ann. Sc. Norm. Super. Pisa Cl. Sci., Vol. XI, issue 2 (2012).

[2] An effective version of a Theorem of Kawamata on the Albanese map, Commun. Contemp. Math. 13 (2011), no. 3, 509–532.

[1] On the restriction of holomorphic forms, Manuscripta Math. 124 (2007), no. 2, 173–182.


The text of my Ph.D thesis under the supervision of Olivier Debarre

Sur l’application d’Albanese des variétés algébriques et le cône nef des produits symétriques de courbes