Inertia elements versus Frobenius elements
نویسنده
چکیده
Theorem (Generalized Dirichlet Density). Let f : Y → X be a generically finite and Galois morphism of integral separated schemes of finite type over Z. Let K and L denote the function fields of X, respectively Y , and let G := Gal(L|K) be the group of (rational) automorphisms of Y over X. Then the following hold: 1) There exists an open sub-scheme U ⊂ X such that f is étale above U , and if V = f−1(U), then V is an open sub-scheme of Y , and f : V → V is an étale cover.
منابع مشابه
Positive Operators and an Inertia Theorem
In recent years there has been interest in a theorem on positive definite matrices known as Lyapunov's theorem. Several authors have proved generalizations of this theorem, (WIELANDT [29J, TAUSSKY [24J, [25J, [26J , OSTROWSKISCHNEIDER [20J, GIVENS [10J, CARLSON-SCHNEIDER [3J, CARLSON [4J) . Lyapunov's theorem and its generalizations have become known as inertia theorems. In this note we shall u...
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