18.787 - Topics in Number Theory (Fall 2012)



[BLR] Bosch, Lutkebohmert and Raynaud, Neron Models

[Dem] Demazure, Lectures on p-Divisible Groups

[FC] Faltings and Chai, Degeneration of abelian varieties, Ergebnisse 3, Springer-Verlag

[Gro] Grothendieck, Groupe de Barsotti-Tate et Cristaux de Dieudonne

[GW] Gortz and Wedhorn, Algebraic Geometry I, Vieweg+Teubner

[Kat] Katz, Serre-Tate Local Moduli

[Kle] Kleiman, Picard schemes (in "Fundamental Algebraic Geometry", AMS)

[Lan] Lan, Arithmetic Compactifications of PEL-type Shimura varieties

[Mes] Messing, The crystals associatd to Barsotti-Tate groups

[Mil1] Milne, Abelian Varieties (in "Arithmetic Geometry", Springer)

[Mil2] Milne, Abelian Varieties (course notes)

[Mil3] Milne, Complex Multiplication

[Mil4] Milne, The Fundamental Theorem of Complex Multiplication

[MFK] Mumford, Fogarty and Kirwan, Geometric Invariant Theory, Springer

[MW] Milne and Waterhouse, Abelian Varieties over Fintie Fields

[Mum] Mumford, Abelian Varieties, TIFR

[Pin] Richard Pink, Finite Group Schemes (lecture notes)

[Sha] Shatz, Group Schemes, Formal Groups, and p-Divisible Groups (in "Arithmetic Geometry", Springer)

[ST] Serre and Tate, Good reduction of abelian varieties. Ann. of Math. (2) 88 1968 492-517

[Tat1] Tate, $p$-divisible Groups (in "Local Fields" proceeding, Springer)

[Tat2] Tate, Classes d'isogenie des varietes abeliennes sur un corps fini (available on numdam.org)

[Tat3] Tate, Finite Flat Group Schemes (in "Modular Forms and Fermat's Last Theorem", Springer)

[Tat4] Tate, Endomorphisms of abelian varieties over finite fields, Invent. Math. 2, 1966, pp.134-144

[vdGM] van der Geer and Moonen, book project on Abelian Varieties

[Vis] Vistoli, Grothendieck Topologies, Fibered Categories and Descent Theory (in "Fundamental Algebraic Geometry", AMS)

[Stacks] Stacks project: Varieties