Actions of group schemes (I)

Ke-Zheng Li

Compositio Mathematica (1991)

  • Volume: 80, Issue: 1, page 55-74
  • ISSN: 0010-437X

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Li, Ke-Zheng. "Actions of group schemes (I)." Compositio Mathematica 80.1 (1991): 55-74. <http://eudml.org/doc/90114>.

@article{Li1991,
author = {Li, Ke-Zheng},
journal = {Compositio Mathematica},
keywords = {action of separated group scheme; sheaf of derivations; characterizing abelian varieties; separated morphism; infinitesimal group scheme},
language = {eng},
number = {1},
pages = {55-74},
publisher = {Kluwer Academic Publishers},
title = {Actions of group schemes (I)},
url = {http://eudml.org/doc/90114},
volume = {80},
year = {1991},
}

TY - JOUR
AU - Li, Ke-Zheng
TI - Actions of group schemes (I)
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 80
IS - 1
SP - 55
EP - 74
LA - eng
KW - action of separated group scheme; sheaf of derivations; characterizing abelian varieties; separated morphism; infinitesimal group scheme
UR - http://eudml.org/doc/90114
ER -

References

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  1. [1] P. Berthelot and A. Ogus: Notes on Crystalline Cohomology, Mathematical Notes, Princeton University Press, Princeton (1978). Zbl0383.14010MR491705
  2. [2] J.-I. Igusa: A Fundamental Inequality in the Theory of Picard Varieties, Proc. Nat. Acad. Sci. USA41 (1955), 318-320. Zbl0067.39201MR71113
  3. [3] J.-I. Igusa: On Some Problems in Abstract Algebraic Geometry, Proc. Nat. Acad. Sci. USA41 (1955), 964-967. Zbl0067.39102MR74085
  4. [4] L. Illusie and M. Raynaud: Les suites spectrales associees au complexe de De Rham, Publ. Math. IHES57 (1983), 73-212. Zbl0538.14012MR699058
  5. [5] Yu. I. Manin: The Theory of Commutative Formal Groups over Fields of Finite Characteristic, Russian Math. Surveys18 (1963), 1-80. Zbl0128.15603MR157972
  6. [6] H. Matsumura: Commutative Algebra, W. A. Benjamin Co., New York (1970). Zbl0211.06501MR266911
  7. [7] V.B. Mehta and V. Srinivas: Varieties in Positive Characteristic with Trivial Tangent Bundle, Compositio Mathematica64 (1987), 191-212. Zbl0639.14024MR916481
  8. [8] M. Miyanishi: On the pro-representability of a functor on the category of finite group schemes, J. Math. of Kyoto Univ.6(1) (1966), 31-48. Zbl0168.41901MR215864
  9. [9] D. Mumford: Abelian Varieties, Oxford University Press, Oxford (1970). Zbl0223.14022MR282985
  10. [10] D. Mumford: Lectures on Curves on an Algebraic Surface, Annals of Math Studies59, Princeton University Press, Princeton (1966). Zbl0187.42701MR209285
  11. [11] F. Oort: Which Abelian Surfaces are Products of Elliptic Curves? Math. Ann.214 (1975), 35-47. Zbl0283.14007MR364264
  12. [12] T. Sekiguchi and F. Oort: On the Deformations of Witt Groups to Tori, Algebraic and Topological Theories-to the Memory of Takehiro Miyata (1985), 283-298. Zbl0800.14023MR1102261

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