On Automorphisms and Endomorphisms of Projective Varieties
On Automorphisms and Endomorphisms of Projective Varieties
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论射影簇的自同构和自同态
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
M. Brion
中科院分区：
文献类型：
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作者：
M. Brion
我们首先证明了完全域上的任何连通代数群都是某种正规射影簇的自同构群的中立群。然后，通过刻画End(X)的所有连通子半群方案的结构，证明了极少数连通代数半群可以实现为某个射影簇X的自同态。
We first show that any connected algebraic group over a perfect field is the neutral component of the automorphism group scheme of some normal projective variety. Then we show that very few connected algebraic semigroups can be realized as endomorphisms of some projective variety X, by describing the structure of all connected subsemigroup schemes of End(X).