Home People Prof. Dr. Christian Liedtke Publications
(with Gebhard Martin, Yuya Matsumoto) Linearly reductive quotient singularities, 51 pages, February 2, 2021. (with Xi Chen, Frank Gounelas) Curves on K3 surfaces , 38 pages, July 1, 2019. (with Xi Chen, Frank Gounelas) Rational curves on lattice-polarised K3 surfaces , 37 pages, July 1, 2019.
(with Bruno Chiarellotto, Christopher Lazda) Good Reduction of K3 Surfaces in Equicharacteristic p , to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (with Kazuhiro Ito, Tetsushi Ito) Deformations of Rational Curves in Positive Characteristic , J. Reine Angew. Math. 769 (2020), 55-86. (with Oliver Gregory) p-adic Tate conjectures and abeloid varieties , Doc. Math. 24 (2019), 1879-1934. (with Bruno Chiarellotto, Christopher Lazda) A Néron-Ogg-Shafarevich criterion for K3 surfaces , Proc. Lond. Math. Soc. 119 (2019), 469-514. (with Yuya Matsumoto) Good Reduction of K3 Surfaces , Compos. Math. 154 (2018), 1–35. The Picard Rank of an Enriques Surface , Math. Res. Lett. 24 (2017), no. 6, 1729-1737. Morphisms to Brauer-Severi varieties, with applications to del Pezzo surfaces , Geometry over Nonclosed Fields, 157-196, Springer (2017). Arithmetic Moduli and Lifting of Enriques Surfaces , J. Reine Angew. Math. 706 (2015), 35-65. Supersingular K3 surfaces are unirational , Invent. Math. 200 (2015), 979-1014. (with Matthew Satriano) On the Birational Nature of Lifting , Adv. Math. 254 (2014), 118-137. The Canonical Map and Horikawa Surfaces in Positive Characteristic , Int. Math. Res. Not. IMRN 2013, no. 2, 422-462. (with Hiroyuki Ito) Elliptic K3 surfaces with pn -torsion sections , J. Algebraic Geom. 22 (2013), 105-139. (with Jun Li) Rational Curves on K3 Surfaces , Invent. Math. 188 (2012), no. 3, 713-727. The p-torsion subgroup scheme of an elliptic curve , J. Number Theory 131 (2011), no. 11, 2064-2077. (with Stefan Schröer) The Néron model over the Igusa curves , J. Number Theory 130 (2010), no. 10, 2157-2197. (with Stavros Papadakis) Birational modifications of surfaces via unprojections , J. Algebra 323 (2010), no. 9, 2510-2519. Fundamental Groups of Galois Closures of Generic Projections , Trans. Amer. Math. Soc. 362 (2010), no. 4, 2167-2188. A note on non-reduced Picard schemes , J. Pure Appl. Algebra 213 (2009), no. 5, 737-741. Non-classical Godeaux Surfaces , Math. Ann. 343 (2009), no. 3, 623-637. (with Matthias Schütt) Unirational Surfaces on the Noether Line , Pacific J. Math. 239 (2009), no. 2, 343-356. Algebraic Surfaces of General Type with Small c1 2 in Positive Characteristic , Nagoya Math. J. 191 (2008), 111-134. Uniruled surfaces of general type , Math. Z. 259 (2008), no. 4, 775-797. Natural central extensions of groups , Groups Geom. Dyn. 2 (2008), no. 2, 245-261. On Fundamental Groups of Galois Closures of Generic Projections , Bonner Mathematische Schriften Nr. 367 (2004). Singular abelian covers of algebraic surfaces , manuscripta math. 112 (2003), no. 3, 375-390.
Lectures on Supersingular K3 Surfaces and the Crystalline Torelli Theorem , K3 Surfaces and Their Moduli, Progress in Mathematics 315, Birkhäuser (2016), 171-235. Algebraic Surfaces in Positive Characteristic , Birational Geometry, Rational Curves, and Arithmetic, 229-292, Springer (2013).
(with François Cossec, Igor Dolgachev) Enriques Surfaces. Volume I , in preparation: 577 pages (as of February 2020).