Article contents
The Grothendieck Trace and the de Rham Integral
Published online by Cambridge University Press: 20 November 2018
Abstract
On a smooth $n$-dimensional complete variety $X$ over $\mathbb{C}$ we show that the trace map ${{\bar{\theta }}_{X}}\,:\,{{H}^{n}}(X,\,\Omega _{X}^{n})\,\to \,\mathbb{C}$ arising from Lipman's version of Grothendieck duality in $\left[ \text{L} \right]$ agrees with
under the Dolbeault isomorphism.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2003
References
- 2
- Cited by