Hübl, Reinhold and Seibert, Gerhard (1997) The adjunction morphism for regular differential forms and relative duality. COMPOSITIO MATHEMATICA, 106 (1). pp. 87-123. ISSN 0010-437X, 1570-5846
Full text not available from this repository.Abstract
Let f : X --> Y be a morphism of noetherian schemes, generically smooth and equidimensional of dimension d, i : X' --> X a closed embedding such that f circle i : X' --> Y is generically smooth and equidimensional of dimension d', and X',X' and Y are excellent schemes without embedded components. We exhibit a concrete morphism Res(X'/X) : det N (X'/X) x o(X') i*omega(X/Y)(d) --> omega(X'/Y)(d'), which transforms the integral of X/Y into the integral of X'/Y. Here N-X'/X denotes the normal sheaf of X'/X and omega(X/Y)(d) resp. omega(X'/Y)(d') denotes the sheaf of regular differential forms of X/Y resp. X'/Y. Using generalized fractions we provide a canonical description of residual complexes and residue pairs of Cohen-Macaulay varieties, and obtain a very explicit description of fundamental classes and their traces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | adjunction formula; regular differential forms; relative duality; fundamental class |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 11 May 2023 10:13 |
| Last Modified: | 11 May 2023 10:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50987 |
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