科研之友
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摘要
For an odd prime p t= 2 mod 3, we prove Abhyankar%26apos;s Inertia Conjecture for the alternating group A (p+2), by showing that every possible inertia group occurs for a (wildly ramified) A (p+2)-Galois cover of the projective k-line branched only at infinity where k is an algebraically closed field of characteristic p %26gt; 0. More generally, when 2 a parts per thousand currency sign s %26lt; p and gcd(p-1, s+1) = 1, we prove that all but finitely many rational numbers which satisfy the obvious necessary conditions occur as the upper jump in the filtration of higher ramification groups of an A (p+s) -Galois cover of the projective line branched only at infinity.
- 出版日期2012-1
