Explicit Deligne pairing
نویسندگان
چکیده
Abstract We give an explicit formula for the Deligne pairing proper and flat morphisms $$f:X\rightarrow S$$ f : X → S of schemes, in terms determinant cohomology. The whole construction is justified by analogy with intersection theory on non-singular projective algebraic varieties.
منابع مشابه
Scalar Curvature, Moment Maps, and the Deligne Pairing *
Let X be a compact complex manifold and L → X a positive holomorphic line bundle. Assume that Aut(X,L)/C× is discrete, where Aut(X,L) is the group of holomorphic automorphisms of the pair (X,L). Donaldson [D] has recently proved that if X admits a metric ω ∈ c1(L) of constant scalar curvature, then (X,L) is Hilbert-Mumford stable for k sufficiently large. Since Kähler-Einstein metrics have cons...
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Let X be a compact complex manifold and L → X a positive holomorphic line bundle. Assume that Aut(X,L)/C× is discrete, where Aut(X,L) is the group of holomorphic automorphisms of the pair (X,L). Donaldson [D] has recently proved that if X admits a metric ω ∈ c1(L) of constant scalar curvature, then (X,L) is Hilbert-Mumford stable for k sufficiently large. Since Kähler-Einstein metrics have cons...
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ژورنال
عنوان ژورنال: European journal of mathematics
سال: 2021
ISSN: ['2199-675X', '2199-6768']
DOI: https://doi.org/10.1007/s40879-021-00482-9