A remark on the degree of commutative algebraic groups. (English) Zbl 0691.14028

Lange, Herbert

Ill. J. Math. 33, No. 3, 409-415 (1989).

Let G be a connected commutative algebraic group over an algebraically closed field k. Then \(G/L=A\) is an abelian variety, where L is the maximal connected linear subgroup of G. The paper answers a question of D. Bertrand and P. Philippon [Ill. J. Math. 32, 263-280 (1988; Zbl 0618.14020)] about degrees associated with an open L- equivariant immersion of L into a projective L-variety P, an L-linearized line bundle M on P, a line bundle N on A, and the corresponding gadgets for an algebraic subgroup \(G'\) of G.

Reviewer: L.Vaserstein; E.Wheland

MSC:

14L15

Group schemes

Keywords:

degrees of commutative algebraic groups; equivariant immersion

Citations:

Zbl 0639.14029; Zbl 0618.14020