Regular differential forms and relative duality
Abstract
It is established that the sheaf of regular differentials of the highest degree is dualizing for a proper equidimensional map $f :X \to Y$ between excellent, noetherian integral schemes. If, further, X and Y are generically smooth varieties over a field k, then it is shown that the sheaves of (absolute) regular differentials $\omega\sb{X}$ and $\omega\sb{Y}$ are related via the sheaf of (relative) regular differentials $\omega\sb{f}$.
Degree
Ph.D.
Advisors
Lipman, Purdue University.
Subject Area
Mathematics
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