Mordell-Lang in positive characteristic
Rendiconti del Seminario Matematico della Università di Padova, Tome 134 (2015), pp. 93-132 
@article{RSMUP_2015__134__93_0,
     author = {Ziegler, Paul},
     title = {Mordell-Lang in positive characteristic},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {93--132},
     year = {2015},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {134},
     mrnumber = {3428416},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_2015__134__93_0/}
}
TY  - JOUR
AU  - Ziegler, Paul
TI  - Mordell-Lang in positive characteristic
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2015
SP  - 93
EP  - 132
VL  - 134
PB  - Seminario Matematico of the University of Padua
UR  - https://www.numdam.org/item/RSMUP_2015__134__93_0/
LA  - en
ID  - RSMUP_2015__134__93_0
ER  - 
%0 Journal Article
%A Ziegler, Paul
%T Mordell-Lang in positive characteristic
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2015
%P 93-132
%V 134
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_2015__134__93_0/
%G en
%F RSMUP_2015__134__93_0
Ziegler, Paul. Mordell-Lang in positive characteristic. Rendiconti del Seminario Matematico della Università di Padova, Tome 134 (2015), pp. 93-132. https://www.numdam.org/item/RSMUP_2015__134__93_0/

[1] Schémas en groupes. I: Propriétés générales des schémas en groupes. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3). Dirigé par M. Demazure et A. Grothendieck. Lecture Notes in Mathematics, Vol. 151. Springer-Verlag, Berlin, 1970. | Zbl

[2] D. Abramovich and J. F. Voloch. Toward a proof of the Mordell-Lang conjecture in characteristic p. Internat. Math. Res. Notices, (5):103–115, 1992. | Zbl | MR

[3] M. F. Atiyah and I. G. Macdonald. Introduction to commutative algebra. AddisonWesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. | Zbl | MR

[4] V. G. Berkovich. Vanishing cycles for formal schemes. II. Invent. Math., 125(2):367–390, 1996. | Zbl | MR

[5] N. Bourbaki. Topologie générale. Chapitres 1 à 4. Hermann, Paris, 1971. | MR

[6] N. Bourbaki. Commutative algebra. Chapters 1–7. Springer-Verlag, Berlin, 1989. | Zbl | MR

[7] B. Conrad. Irreducible components of rigid spaces. Ann. Inst. Fourier (Grenoble), 49(2):473–541, 1999. | Zbl | MR | Numdam

[8] B. Conrad. Chow’s K/k-image and K/k-trace, and the Lang-Néron theorem. Enseign. Math. (2), 52(1-2):37–108, 2006. | Zbl | MR

[9] A. J. De Jong. Crystalline Dieudonné module theory via formal and rigid geometry. Inst. Hautes Études Sci. Publ. Math., (82):5–96 (1996), 1995. | Zbl | MR | Numdam

[10] M. Demazure. Lectures on p-divisible groups. Lecture Notes in Mathematics, Vol. 302. Springer-Verlag, Berlin, 1972. | Zbl | MR

[11] M. Demazure and A. Grothendieck (ed.). Schémas en groupes II (SGA 3), Lecture Notes in Mathematics, Vol. 152. Springer-Verlag, 1970. | Zbl

[12] D. Eisenbud. Commutative algebra. Springer-Verlag, New York, 1995. | Zbl | MR

[13] G. Faltings and C.-L. Chai. Degeneration of abelian varieties. Springer-Verlag, Berlin, 1990. | Zbl | MR

[14] D. Ghioca and R. Moosa. Division points on subvarieties of isotrivial semiabelian varieties. Int. Math. Res. Not., pages Art. ID 65437, 23, 2006. | Zbl | MR

[15] A. Grothendieck. Éléments de géométrie algébrique. I. Le langage des schémas. Inst. Hautes Études Sci. Publ. Math., (4):228, 1960. | Zbl | Numdam

[16] A. Grothendieck. Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. II. Inst. Hautes Études Sci. Publ. Math., (24):231, 1965. | Zbl | MR | Numdam | EuDML

[17] M. Hazewinkel. Formal groups and applications, volume 78 of Pure and Applied Mathematics. Academic Press Inc., New York, 1978. | Zbl | MR

[18] E. Hrushovski. The Mordell-Lang conjecture for function fields. J. Amer. Math. Soc., 9(3):667–690, 1996. | Zbl | MR

[19] C. Kappen. Uniformly rigid spaces. Algebra Number Theory, 6(2):341–388, 2012. | Zbl | MR

[20] W. Messing. The crystals associated to Barsotti-Tate groups: with applications to abelian schemes. Lecture Notes in Mathematics, Vol. 264. Springer-Verlag, Berlin, 1972. | Zbl | MR

[21] F. Oort. Subvarieties of moduli spaces. Invent. Math., 24:95–119, 1974. | Zbl | MR | EuDML

[22] F. Oort and T. Zink. Families of p-divisible groups with constant Newton polygon. Doc. Math., 7:183–201 (electronic), 2002. | Zbl | MR | EuDML

[23] R. Pink and D. Rössler. On c-invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture. J. Algebraic Geom., 13(4):771–798, 2004. | Zbl | MR

[24] D. Rössler. On the Manin-Mumford and Mordell-Lang conjectures in positive characteristic. Algebra Number Theory, 7(8):2039–2057, 2013. | Zbl | MR

[25] T. Scanlon. A positive characteristic Manin-Mumford theorem. Compos. Math., 141(6):1351–1364, 2005. | Zbl | MR

[26] The Stacks Project Authors. stacks project. http://stacks.math.columbia.edu, 2013.

[27] C. A. Weibel. An introduction to homological algebra. Cambridge University Press, Cambridge, 1994. | Zbl | MR