Prof. Dr. Urs Hartl



Publications

Articles

24. U. Hartl, A.-K. Juschka: "Pink's Theory of Hodge Structures and the Hodge Conjecture over Function Fields"
to appear in Proceedings of the conference on "t-motives: Hodge structures, transcendence and other motivic aspects", BIRS, Banff, Canada 2009, Editors G. Böckle, D. Goss, U. Hartl, M. Papanikolas, European Mathematical Society 2016, 114 pages.
Also available as arXiv:math.NT/1607.01412, [pdf], [ps], [ps.gz], [dvi].
23. U. Hartl, W. Kim: "Local Shtukas, Hodge-Pink Structures and Galois Representations"
to appear in Proceedings of the conference on "t-motives: Hodge structures, transcendence and other motivic aspects", BIRS, Banff, Canada 2009, Editors G. Böckle, D. Goss, U. Hartl, M. Papanikolas, European Mathematical Society 2016, 53 pages.
Also available as arXiv:math/1512.05893, [pdf], [ps], [ps.gz], [dvi].
22. U. Hartl, E. Hellmann: "The universal family of semi-stable p-adic Galois representations"
to appear in Algebra and Number Theory (2016), 42 pages.
Also available as arXiv:math/1312.6371, [pdf], [ps], [ps.gz], [dvi].
21. E. Arasteh Rad, U. Hartl: "Uniformizing the Moduli Stacks of Global G-Shtukas"
to appear in International Mathematics Research Notices (2016), 27 pages.
Also available as arXiv:1302.6351, [pdf], [ps], [ps.gz], [dvi].
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.
Final publication; also available as arXiv:1302.6143, [pdf], [ps], [ps.gz], [dvi].
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].
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].
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

25. U. Hartl: "Isogenies of abelian Anderson A-modules and A-motives"
Preprint Dec. 2016, 31 pages in arXiv:math/1706.06807, [pdf], [ps], [dvi].
26. U. Hartl, R. Singh: "Local Shtukas and Divisible Local Anderson Modules"
Preprint Sept. 2016, 44 pages in arXiv:math/1511.03697, [pdf], [ps], [ps.gz], [dvi].
27. 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].
28. U. Hartl, R. Singh: "Periods of Drinfeld modules and local shtukas with complex multiplication"
Preprint March 2016, 25 pages in arXiv:math.NT/1603.03194, [pdf], [ps], [ps.gz], [dvi].
29. 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: 06/22/2017