椭圆曲线幂的变元本质极小值的函子下界
A functorial lower bound for the essential minimum of varities in a power of an elliptic curve
摘要：
阿贝尔簇的一个子簇V是“translate”，如果它是真代数子群的translates的并集。一个不可约的V是“横截的”，如果它不包含在任何平移簇中。椭圆曲线E的幂的横子簇的有效的尖下界是已知的。在这里，我们证明了一个尖锐的下界的本质最小的非平移子簇的这样一个权力E^g。
英文摘要：
A subvariety V of an abelian variety is `translate' if it is the union of translates of proper algebraic subgroups. An irreducible V is `transverse' if it is not contained in any translate variety. Effective sharp lower bounds for a transverse subvarieties of a power of an elliptic curve E are known. Here, we prove a sharp lower bound for the essential minimum of non-translate subvarieties of such a power E^g.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
