Articles |
|
| 32. |
U. Hartl, E. Viehmann: "The generic fiber of moduli spaces of bounded local G-shtukas" Journal of the Institute of Mathematics of Jussieu 22(2) (2023), 799-878. Also available as arXiv:math.AG/1712.07936, [pdf], [ps]. The final publication is available Open Access. |
| 31. |
U. Hartl, R. Singh: "Periods of Drinfeld modules and local shtukas with complex multiplication - Errata" Journal of the Institute of Mathematics of Jussieu 21(6) (2022), 2247-2251. Also available as arXiv:math.NT/1603.03194, [pdf], [ps]. The final publication is available at request from the author. | .
| 30. |
U. Hartl, R. Singh: "A Short Review on Local Shtukas and Divisible Local Anderson Modules" in Perfectoid Spaces , Editors D. Banerjee, K. Kedlaya, E. de Shalit, C. Chaudhuri, Infosys Sci. Found. Ser. Math. Sci., Springer, Singapore 2022, pages 51-68. Also available as preprint [pdf], [ps]. The final publication is available at request from the author. |
| 29. |
E. Arasteh Rad, U. Hartl: "Category of C-Motives over Finite Fields" Journal of Number Theory 232 (2022), 283-316. Also available as arXiv:math.NT/1810.11941, [pdf], [ps]. The final publication is available at request from the author. |
| 28. |
E. Arasteh Rad, U. Hartl: "Uniformizing the Moduli Stacks of Global G-Shtukas" International Mathematics Research Notices 2021, No. 21, 16119-16190. Also available as arXiv:1302.6351, [pdf], [ps], [dvi]. The final publication is available at request from the author. |
| 27. |
U. Hartl, R. Singh: "Product Formulas for Periods of CM Abelian Varieties and the Function Field Analog" Journal of Number Theory 218 (2021), 62-151. Also available as arXiv:math/1809.02990, [pdf], [ps], [ps.gz]. The final publication is available at request from the author. |
| 26. |
U. Hartl, E. Hellmann: "The universal family of semi-stable p-adic Galois representations" Algebra and Number Theory 14 No. 5 (2020), 1055-1121. Also available as arXiv:math/1312.6371, [pdf], [ps], [ps.gz], [dvi]. The final publication is available at request from the author. |
| 25. |
U. Hartl, W. Kim: "Local Shtukas, Hodge-Pink Structures and Galois Representations" in t-motives: Hodge structures, transcendence and other motivic aspects, Editors G. Böckle, D. Goss, U. Hartl, M. Papanikolas, EMS Congress Reports, European Mathematical Society 2020, pp. 183-260. Also available as arXiv:math/1512.05893, [pdf], [ps], [ps.gz]. The final publication is available at request from the author. |
| 24. |
U. Hartl, A.-K. Juschka: "Pink's Theory of Hodge Structures and the Hodge Conjecture over Function Fields" in t-motives: Hodge structures, transcendence and other motivic aspects, Editors G. Böckle, D. Goss, U. Hartl, M. Papanikolas, EMS Congress Reports, European Mathematical Society 2020, pp. 31-182. Also available as arXiv:math.NT/1607.01412, [pdf], [ps], [ps.gz]. The final publication is available at request from the author. |
| 23. |
U. Hartl, R. Singh: "Periods of Drinfeld modules and local shtukas with complex multiplication" Journal of the Institute of Mathematics of Jussieu 19, no. 1 (2020), 175-208. Also available as arXiv:math.NT/1603.03194, [pdf], [ps]. The final publication is available at request from the author. |
| 22. |
U. Hartl: "Isogenies of abelian Anderson A-modules and A-motives" Annali della Scuola Normale Superiore di Pisa, Classe di Scienze XIX (2019), 1429-1470. Also available as arXiv:math/1706.06807, [pdf], [ps], [dvi]. The final publication is available at request from the author. |
| 21. |
U. Hartl, R. Singh: "Local Shtukas and Divisible Local Anderson Modules" Canadian Journal of Mathematics 71 (2019), 1163-1207. Also available as arXiv:math/1511.03697, [pdf], [ps], [ps.gz], [dvi]. The final publication is available at request from the author. |
| 20. |
U. Hartl, S. Hüsken: "A criterion for good reduction of Drinfeld modules and Anderson motives in terms of local shtukas" Annali della Scuola Normale Superiore di Pisa, Classe di Scienze XV (2016), 25-43. Also available as arXiv:1304.6851, [pdf], [ps], [ps.gz], [dvi]. The final publication is available at request from the author. |
| 19. |
E. Arasteh Rad, U. Hartl: "Local P-shtukas and their relation to global G-shtukas" Muenster Journal of Mathematics 7 (2014), 623-670. Also available as arXiv:1302.6143, [pdf], [ps], [ps.gz], [dvi]. The final publication is available open access. |
| 18. |
U. Hartl: "On a Conjecture of Rapoport and Zink" Inventiones Mathematicae 193 (2013), 627-696. Also available as arXiv:math.NT/0605254, [pdf], [ps], [ps.gz], [dvi]. The final publication is available at request from the author, or from Springer-Verlag. |
| 17. |
U. Hartl, K. Kwickert: "Constructing the Cubus simus and the Dodecaedron simum via paper folding", Geometriae Dedicata 166 (2013), 1-14. Also available as arXiv:1202.0172, [pdf], [ps], [ps.gz], [dvi]. The final publication is available at request from the author, or from Springer-Verlag who holds the copyright. |
| 16. |
U. Hartl, E. Viehmann: "Foliations in deformation spaces of local G-shtukas" Advances in Mathematics 229 (2012), 54-78. Also available as arXiv:1002.2387, [pdf], [ps], [ps.gz], [dvi]. The final publication is available at request from the author, or from Elsevier Masson SAS who holds the copyright. |
| 15. |
U. Hartl, E. Viehmann: "The Newton stratification on deformations of local G-shtukas" Journal für die reine und angewandte Mathematik (Crelle) 656 (2011), 87-129. Also available as arXiv:0810.0821, [pdf], [ps], [ps.gz], [dvi]. The final publication is available at request from the author, or from de Gruyter Verlag who holds the copyright. |
| 14. |
M. Bornhofen, U. Hartl: "Pure Anderson Motives and Abelian τ-Sheaves" Mathematische Zeitschrift 268 (2011), 67-100. Also available as arXiv:0709.2809, [pdf], [ps], [ps.gz]. The final publication is available at request from the author, or at www.springerlink.com who holds the copyright. |
| 13. |
U. Hartl: "Period Spaces for Hodge Structures in Equal Characteristic" Annals of Mathematics 173, n. 3 (2011), 1241-1358. Also available as arXiv:math.NT/0511686, [pdf], [ps], [ps.gz]. The final publication is available at request from the author. |
| 12. |
U. Hartl: "A Dictionary between Fontaine-Theory and its Analogue in Equal Characteristic" Journal of Number Theory 129, n. 7 (2009), 1734-1757. Also available as arXiv:math.NT/0607182, [pdf], [ps], [ps.gz], [dvi]. The final publication is available at request from the author, or from Elsevier Masson SAS who holds the copyright. |
| 11. |
M. Bornhofen, U. Hartl: "Pure Anderson Motives over Finite Fields" Journal of Number Theory 129, n. 2 (2009), 247-283. Also available as arXiv:0709.2815, [pdf], [ps], [ps.gz], [dvi]. The final publication is available from Elsevier Masson SAS who holds the copyright. |
| 10. |
U. Hartl: "On period spaces for p-divisible groups" Comptes Rendus Mathématique Acad. Sci. Paris, Ser. I 346 (2008), 1123-1128. [pdf], [ps], [ps.gz], [dvi], also available as arXiv:0709.3444. The final publication is available at request from the author, or from Académie des Sciences, Elsevier Masson SAS who holds the copyright. |
| 9. |
G. Böckle, U. Hartl: "Uniformizable families of t-motives" Transactions of the American Mathematical Society 359, n. 8 (2007), 3933-3972. Also available as arXiv:math.NT/0411262, [pdf], [ps], [ps.gz]. The final publication is available at request from the author, or from the American Mathematical Society who holds the copyright. |
| 8. |
U. Hartl: "Uniformizing the Stacks of Abelian Sheaves" in Number Fields and Function fields - Two Parallel Worlds, Papers from the 4th Conference held on Texel Island, April 2004, G. van der Geer, B. Moonen, R. Schoof, Editors, pp. 167-222, Progress in Math. 239, Birkhäuser Verlag, Basel 2005. Also availabe at arXiv:math.NT/0409341, [pdf], [ps], [ps.gz], [dvi]. |
| 7. |
U. Hartl, R. Pink: "Vector bundles with a Frobenius structure on the punctured unit disc" Compositio Mathematica 140, n. 3 (2004), 689-716. [pdf], [ps], [ps.gz]. The final publication is available from Cambridge University Press who holds the copyright. |
| 6. |
U. Hartl: "Semi-stable models for rigid-analytic spaces" Manuscripta Mathematica 110 (2003), 365-380. [pdf], [ps], [ps.gz]. The final publication is available at springerlink.com . |
| 5. |
U. Hartl: "Semi-stable models for curves with cusps" Mathematische Zeitschrift 243 (2003), 1-23. [pdf], [ps], [ps.gz]. The final publication is available at springerlink.com . |
| 4. |
U. Hartl: "Line Bundles on Rigid Analytic Spaces" in Valuation Theory and its Applications, Volume I, F.-V. Kuhlmann, S. Kuhlmann, M. Marshal, Editors, pp. 205-217, Fields Institute Communications 32, AMS 2002. [pdf], [ps], [ps.gz]. The final publication is available from the Amer. Math. Soc. who holds the copyright. |
| 3. |
U. Hartl: "Semi-stability and base change" Archiv der Mathematik 77 (2001), 215-221, [pdf], [ps], [ps.gz]. The final publication is available from Springer-Verlag who holds the copyright. |
| 2. |
U. Hartl, W. Lütkebohmert: "On rigid-analytic Picard varieties" Journal für die reine und angewandte Mathematik (Crelle) 528 (2000), 101-148. [pdf], [ps], [ps.gz]. The final publication is available from de Gruyter Verlag, who holds the copyright. |
| 1. |
U. Hartl: "The Picard Functor" in Courbes semi-stables et groupe fondamental en géométrie algébrique, J.-B. Bost, F. Loeser, M. Raynaud, Éditeurs, pp. 33-41, Progress in Math. 187, Birkhäuser Verlag, Basel 2000. [pdf], [ps], [ps.gz], [dvi]. The final publication is available from Birkhäuser Verlag who holds the copyright. |
Preprints |
|
| 33. |
E. Arasteh Rad, U. Hartl: "Langlands-Rapoport Conjecture over Function Fields" Preprint May 2016, 22 pages in arXiv:math.NT/1605.01575, [pdf], [ps], [ps.gz], [dvi]. |
| 34. |
U. Hartl, A. Pál: "Crystalline Chebotarëv Density Theorems" Preprint March 2020, 81 pages in arXiv:math.NT/1811.07084, [pdf], [ps]. |
| 35. |
U. Hartl, C.-F. Yu: "Arithmetic Satake compactifications and algebraic Drinfeld modular forms" Preprint September 2020, 45 pages in arXiv:math.AG/2009.13934, [pdf], [ps], [ps.gz]. |
| 36. |
U. Hartl, Y. Xu: "Uniformizing the moduli stacks of global G-Shtukas II" Preprint October 2023, 52 pages in arXiv:math.NT/2309.17441, [pdf], [ps], [ps.gz]. |
| 37. |
U. Hartl, M. Hendler: "Change of Coefficients for Drinfeld Modules, Shtuka, and Abelian Sheaves" Preprint Aug. 2006, 16 pages in arXiv:math.NT/0608256, [pdf], [ps], [ps.gz], [dvi]. |
Further unpublished articles |
|
| (c) |
M. Bornhofen, U. Hartl: "Pure Anderson Motives and Abelian τ-Sheaves over Finite Fields" Preprint January 2010, 59 pages in arXiv:math.NT/0609733, [pdf], [ps], [ps.gz]. This is the two-in-one version of 14 and 11. |
| (b) |
Dissertation: "Zur Darstellbarkeit des rigid analytischen Picard-Funktors" (german) University of Ulm (June 1999), 77 pages, [pdf], [dvi], [ps], [ps.gz]. |
| (a) |
Diploma Thesis: "Der Algorithmus von Tate für elliptische Kurven" (german) University of Ulm (November 1996), 101 pages, [dvi], [ps], [ps.gz]. |
