Abstract
Let f : X → Y be a proper, surjective, smooth map of schemes, with all fibers equidimensional with dimension n, and let ωX/Y = Ω nX/Y . Grotherndieck’s duality theory [RD, VII, 4.1] produces a trace map
which is an isomorphism when f has geometrically connected fibers. When n = 0, this is just the usual trace map 
.
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© 2000 Springer-Verlag Berlin Heidelberg
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(2000). Introduction. In: Conrad, B. (eds) Grothendieck Duality and Base Change. Lecture Notes in Mathematics, vol 1750. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40015-X_1
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DOI: https://doi.org/10.1007/3-540-40015-X_1
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