[28] Qing Liu: Computing minimal Weierstrass equations. Arxiv version here.
Research in Number Theory. 2023.
[27] Qing Liu: Global Weierstrass equations of hyperelliptic curves.
Trans. AMS., 375 (2022), 5889-5906.
[00] Qing Liu: Appendix to Refined height pairing by Bruno Kahn,
to appear in Algebra and Number Theory.
[26] Reynald Lercier, Qing Liu, Elisa Lorenzo García, Christophe Ritzenthaler: Reduction type of smooth quartics.
Algebra and Number Theory, 15 (2021), 1429-1468.
[25] Qing Liu, Dino Lorenzini: New points on curves.
Acta Arithmetica, 186 (2018), 101-141.
[24] Qing Liu, Dino Lorenzini and Michel Raynaud: Corrigendum to Néron models, Lie algebras, and reduction of curves of genus one and The Brauer group of a surface.
Invent. Math., 214 (2018), 593-604.
[23] Qing Liu, Jilong Tong : Néron models of algebraic curves.
Trans. AMS., 368 (2016), 7019-7043.
[22] Qing Liu, Fei Xu : Very strong approximation for certain algebraic varieties.
Math. Ann., 363 (2015), 701-731.
[21] Ofer Gabber, Qing Liu, Dino Lorenzini : Hypersurfaces in projective schemes and a moving lemma.
Duke Math. Journal, 164 (2015), 1187-1270.
[20] Qing Liu, Huajun Lu: Congruences of models of elliptic curves.
J. London Math. Soc., 88 (2013), 899-924.
[19] Ofer Gabber, Qing Liu, Dino Lorenzini : The index of an algebraic variety.
Invent. Math., 192 (2013), 567-626.
[18] Qing Liu, Julien Sebag : The Grothendieck ring of varieties and piecewise isomorphisms.
Math. Z., 265 (2010), 321-342.
[17] Qing Liu: Stable reduction of finite covers of curves.
Compositio Math., 142 (2006), 101-118.
Caution: The proof of Propostion 3.8 is incorrect (thanks to Jeroen Hanselman for pointing out the issue)). For the moment, in the main results of the paper, one may need inseparable extensions to reach stable reduction of covers.
[16 ] Qing Liu, Dino Lorenzini, Michel Raynaud : On the Brauer group of a surface.
Invent. Math., 159 (2005), 673-676
[15] Qing Liu, Dino Lorenzini, Michel Raynaud : Néron models, Lie algebras, and reduction of curves of genus one.
Invent. Math., 157 (2004), 455-518.
[14] Qing Liu, Dino Lorenzini : Special fibers of Néron models and wild ramification.
J. für die reine und angew. Math., 532 (2001), 179-222.See also a detailed proof of Proposition 1.8 here.
[13] Qing Liu, Takeshi Saito : Inequality for conductor and differentials of a curve over a local field.
J. Alg. Geometry, 9 (2000), 409-424.
[12] Siegfried Bosch, Qing Liu : Rational points of the group of components of a Néron model.
Manuscripta Math., 98 (1999), 275-293.
[11] Qing Liu, Dino Lorenzini : Models of curves and finite covers.
Compositio Math., 118 (1999), 61-102.
[10] Qing Liu : Modèles entiers de courbes hyperelliptiques sur un corps de valuation discrète.
Trans. of AMS, 348 (1996), 4577-4610.
[9] Bas Edixhoven, Qing Liu and Dino Lorenzini : The p-part of the group of components.
J. Alg. Geometry, 5 (1996), 801-813.
[8] Qing Liu, Marius van der Put : On one-dimensional separated rigid spaces.
Indagationes Math., new series 6 (1995), 439-451.
[7] Qing Liu : Tout groupe fini est un groupe de Galois sur Qp(T) d'après Harbater.
Recent Developments in the Inverse Galois Problem, ed. M. Fried, AMS Contemporary Math. series 186 (1995), 261-265.
[6] Qing Liu : Conducteur et discriminant minimal de courbes de genre 2.
Compositio Math., 94 (1994), 51-79.
[5] Qing Liu : Modèles minimaux des courbes de genre deux.
J. für die reine und angew. Math., 453 (1994), 137-164.
Errata to the printed version.
Errata to Namikawa-Ueno's article.
[4] Qing Liu : Courbes stables de genre 2 et leur schéma de modules.
Math. Ann., 295 (1993), 201-222.
[3] Qing Liu : Sur les espaces de Stein quasi-compacts en géométrie rigide
Tôhoku Math. J., 42 (1990), 289-306
[2] Qing Liu : Un contre-exemple au ``critère cohomologique d'affinoïdicité''
Comptes Rendus de l'Académie des Sciences, Paris, 307 (1988), 83-86
[1] Qing Liu : Ouverts analytiques d'une courbe algébrique en géométrie rigide
Ann. Inst. Fourier, 37 (1987), 39-64
[0] Qing Liu : Ouverts analytiques d'une courbe projective sur un corps valué complet, ultramétrique, algébriquement clos
PhD thesis, Université Bordeaux 1, 1987.
Qing Liu : Algebraic Geometry and Arithmetic Curves
Oxford Graduate Texts in Math., 6 (2002), 576 pages, Oxford University Press. New (corrected) edition in 2006.
Qing Liu : Une mini introduction à la géométrie analytique rigide ( Pdf file)
Séminaire & Congrès, Soc. Math. France, 5 (2001), 43-61
Proceedings of the 2003 Workshop on Cryptography and Related Mathematics, Chuo University (2003), 161-180