Prof. Dr. Urs Hartl



Publications

.

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].


U. Hartl, last modified: 01/30/2024