期刊文献+

Which algebraic groups are Picard varieties?

Which algebraic groups are Picard varieties?
原文传递
导出
摘要 We show that every connected commutative algebraic group over an algebraically closed field of characteristic 0 is the Picard variety of some projective variety having only finitely many non-normal points.In contrast,no Witt group of dimension at least 3 over a perfect field of prime characteristic is isogenous to a Picard variety obtained by this construction. We show that every connected commutative algebraic group over an algebraically closed field of characteristic 0 is the Picard variety of some projective variety having only finitely many non-normal points. In contrast, no Witt group of dimension at least 3 over a perfect field of prime characteristic is isogenous to a Picard variety obtained by this construction.
作者 BRION Michel
机构地区 Institut Fourier
出处 《Science China Mathematics》 SCIE CSCD 2015年第3期461-478,共18页 中国科学:数学(英文版)
关键词 algebraic group Picard variety PINCHING 代数群 品种 皮卡 代数闭域 正常点 射影
  • 相关文献

参考文献26

  • 1Alexeev V. Complete moduli in the presence of semi-abelian group action. Ann of Math (2), 2002, 155:611-708.
  • 2Bosch S, Liitkebohmert W, Raynaud M. Nron Models. Berlin: Springer-Verlag, 1990.
  • 3Bourbaki N. Algbre commutative, chapitres 5 et 6. Paris: Hermann, 1964.
  • 4Brion M. On automorphisms and endomorphisms of projective varieties. In: Automorphisms in BirationM and Affine Geometry. New York: Springer, 2014, 59-82.
  • 5Conrad B, Gabber O, Prasad G. Pseudo-reduetve Groups. Cambridge: Cambridge University Press, 2010.
  • 6Curtis C, Reiner I. Representation Theory of Finite Groups and Associative Algebras. New York: Interscience Pub- lishers, 1962.
  • 7Demazure M, Gabriel P. Croupes Algbriques. Paris: Masson, 1970.
  • 8Grothendieck A. llments de gomtrie algbrique, rdigs avec la collaboration de Jean Dieudonn, III: ]tude coho- mologique des faisceaux cohrents, Seconde partie. Publ Math IHIS, 1963, 17:5-91.
  • 9Grothendieck A. llments de gomtrie alg@brique, r@digs avec la collaboration de Jean Dieudonn, IV: ttude locale des schemas et des morphismes de sch@ms, Quatrime partie. Publ Math IHIS 1967, 32:5-361.
  • 10Groupes de monodromie en gomtrie algbrique (SGA 7). Sdminaire de G@om@trie Alg@brique du Bois Marie 1967- 1969. New York: Sprinser-Verlag, 1972.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部