On the birational automorphism groups of algebraic varieties

Masaki Hanamura

Compositio Mathematica (1987)

  • Volume: 63, Issue: 1, page 123-142
  • ISSN: 0010-437X

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Hanamura, Masaki. "On the birational automorphism groups of algebraic varieties." Compositio Mathematica 63.1 (1987): 123-142. <http://eudml.org/doc/89847>.

@article{Hanamura1987,
author = {Hanamura, Masaki},
journal = {Compositio Mathematica},
keywords = {group of birational automorphisms; automorphism group scheme; terminal minimal birational model},
language = {eng},
number = {1},
pages = {123-142},
publisher = {Martinus Nijhoff Publishers},
title = {On the birational automorphism groups of algebraic varieties},
url = {http://eudml.org/doc/89847},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Hanamura, Masaki
TI - On the birational automorphism groups of algebraic varieties
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 1
SP - 123
EP - 142
LA - eng
KW - group of birational automorphisms; automorphism group scheme; terminal minimal birational model
UR - http://eudml.org/doc/89847
ER -

References

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  3. 3 A. Grothendieck: Fondements de la Géométrie Algébrique, Sem. Bourbaki1957-62. Secrétariat Math., Paris (1962). Zbl0239.14002MR146040
  4. 4 S. Iitaka: Algebraic Geometry. Graduate Texts in Math., Vol. 76. Springer-Verlag, New York (1982). Zbl0491.14006MR637060
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  8. 8 J. Kollár: Higher direct images of dualizing sheaves, II. Preprint (1985). Zbl0605.14014MR847955
  9. 9 H. Matsumura: On algebraic groups of birational transformations. Lincei. Rend. Sc. fis. mat. e nat. Vol. XXXIV (1963). Zbl0134.16601MR159825
  10. 10 S. Mori: Threefolds whose canonical bundles are not numerically effective. Ann. Math.116 (1982) 177-212. Zbl0557.14021MR662120
  11. 11 M. Reid: Minimal models of canonical 3-folds. Advanced Studies in Pure Math.1 (1983) 131-180. Zbl0558.14028MR715649
  12. 12 M. Rosenlicht: Some basic theorems on algebraic groups. Amer. J. Math.78 (1956) 401-443. Zbl0073.37601MR82183
  13. 13 K. Ueno: Classification Theory of Algebraic Varieties and Compact Complex Spaces. Lecture Notes in Math. 439. Springer Verlag, Berlin (1975). Zbl0299.14007MR506253
  14. 14 A. Weil: On algebraic groups of transformations. Amer. J. Math.77 (1955) 355-391. Zbl0065.14201MR74083
  15. 15 M. Demazure: Sous-groupes algébriques de rang maximum du groupe de Cremona. Ann. scient. Ec. Norm. Sup.4, 3 (1971) 507-588. Zbl0223.14009MR284446
  16. 16 D. Mumford: Abelian Varieties. Oxford University Press (1970) Zbl0223.14022MR282985
  17. 17 D. Mumford: Geometric Invariant Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete34. Springer-Verlag (1982). Zbl0147.39304MR719371
  18. 18 A. Beauville: Some remarks on Kähler manifolds with c 1 = 0. In: Classification of Algebraic and Analytic Manifolds. Birkhauser (1983) 1-26. Zbl0537.53057MR728605
  19. 19 R. Hartshorne: Stable reflexive sheaves. Math. Ann.254 (1980) 121-176. Zbl0431.14004MR597077

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