示性数的整除性
Divisibility of characteristic numbers
摘要:
我们使用同伦理论来定义某些有理系数示性数与整数值,取决于给定的素数q和正整数t。我们证明了第一个非平凡的程度公式,并用它来表明,存在的代数簇之间的态射,这些数字是不能整除的q给信息的程度,这样的态射或零循环的目标品种。
英文摘要:
We use homotopy theory to define certain rational coefficients characteristic numbers with integral values, depending on a given prime number q and positive integer t. We prove the first nontrivial degree formula and use it to show that existence of morphisms between algebraic varieties for which these numbers are not divisible by q give information on the degree of such morphisms or on zero cycles of the target variety.
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