@article{CM_1987__62_2_107_0, author = {Katsura, Toshiyuki and Oort, Frans}, title = {Families of supersingular abelian surfaces}, journal = {Compositio Mathematica}, pages = {107--167}, publisher = {Martinus Nijhoff Publishers}, volume = {62}, number = {2}, year = {1987}, mrnumber = {898731}, zbl = {0636.14017}, language = {en}, url = {http://www.numdam.org/item/CM_1987__62_2_107_0/} }
Katsura, Toshiyuki; Oort, Frans. Families of supersingular abelian surfaces. Compositio Mathematica, Tome 62 (1987) no. 2, pp. 107-167. http://www.numdam.org/item/CM_1987__62_2_107_0/
1 Die Typen der Multiplikatorenringe elliptischer Funktionenkörper. Abh. Math. Sem. Univ. Hamburg 14 (1941) 197-272. | JFM | MR | Zbl
:2 Über die Idealklassenzahl total definiter Quaternionenalgebren. Math. Z. 43 (1938) 102-109. | JFM | MR | Zbl
:3 On supersingular curves and abelian varieties. Prépublications Univ. de Paris-Sud, Orsay (1985).
:4 On the class numbers of positive definite binary quaternion hermitian forms (I). J. Fac. Sci. Univ. Tokyo sect. IA, 27 (1980), 549-601(II) ibid. 28 (1981) 695-699. | MR | Zbl
and :5 Supersingular curves of genus two and class numbers. Comp. Math. 57 (1986) 127-152. | Numdam | MR | Zbl
, and :6 Class number of a definite quaternion with prime discriminant. Proc. Nat. Acad. Sci. U.S.A. 44 (1958) 312-314. | MR | Zbl
:7 Arithmetic variety of moduli for genus two. Ann. of Math. 72 (1960) 612-649. | MR | Zbl
:8 Supersingular abelian varieties of dimension two or three and class numbers. To appear in Advanced Studies in Pure Math. | MR | Zbl
and :9 p-adic variation of the zeta-function over families defined over finite fields. Comp. Math. 31 (1975) 119-218. | Numdam | MR | Zbl
:10 Polarizations de degré 4 sur les surfaces abéliennes. C.R. Acad. Sci. Paris 289 (1979) 787-790. | MR | Zbl
:11 Familles de courbes et de variétés abéliennes sur P1. Astérisque 86 (1981) 109-140. | Zbl
:12 Abelian varieties. Oxford Univ. Press (1970). | MR | Zbl
:13 Geometric invariant theory (second enlarged edition). Berlin-Heidelberg- New York: Springer-Verlag (1982). | MR | Zbl
and :14 Polarizations on an abelian variety. Geometry and analysis, Indian Acad. Sci. Bangalore (1980) 125-128. | Zbl
and :15 Subvarieties of moduli spaces. Invent. Math. 24 (1974) 95-119. | MR | Zbl
:16 Which abelian surfaces are products of elliptic curves? Math. Ann. 214 (1975) 35-47. | MR | Zbl
:17 Singularités de Klein, I. In Séminaire sur les singularités des surfaces. Lecture Notes in Math. 777, pp. 1-9. Berlin- Heidelberg-New York: Springer-Verlag (1980). | Numdam | MR | Zbl
:18 Arithmetic of alternating forms and quaternion hermitian forms. J. Math. Soc. Japan 15 (1963) 33-65. | MR | Zbl
:19 Supersingular K3 surfaces. Lecture Notes in Math. 732, pp. 564-591. Berlin- Heidelberg-New York: Springer-Verlag (1979). | MR | Zbl
:20 Abelian varieties over finite fields. Ann. Sci. Éc. Norm. Sup. 4e série, t.2 (1969) 521-560. | Numdam | MR | Zbl
:21 Zum Beweis des Torellischen Satzes. Nachr. Acad. Wiss. Göttingen Math. Phys. K1 (1957) 33-53. | MR | Zbl
: