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Families of translations of commutative algebraic groups. (English) Zbl 0657.14026
Abstract: It is shown that for certain compactifications of a connected commutative algebraic group G in $${\mathbb{P}}_ N$$ the translation by points g of G can be described completely by quadratic forms in such a way, that the forms depend holomorphically on g. This implies that some zero estimates in transcendence theory are effective.
Reviewer: D.M.Snow

##### MSC:
 14L30 Group actions on varieties or schemes (quotients) 11J81 Transcendence (general theory)
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##### References:
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