Gruson, L. ; Laytimi, F. ; Nagraj, D. S. (2006) On prime fano threefolds of genus 9 International Journal of Mathematics, 17 (3). pp. 253-261. ISSN 0129-167X
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Official URL: http://www.worldscinet.com/ijm/17/1703/S0129167X06...
Related URL: http://dx.doi.org/10.1142/S0129167X06003461
Abstract
It is shown here that any prime Fano threefold of genus 9 is not exotic, that is, its scheme of lines is reduced at the generic point of every component. This extends a result of Prokhorov who showed that the only exotic Fano 3-fold of genus > 9 is the example of Mukai-Umemura. The problem is reduced to a result, obtained here, about the trisecants of a smooth space curve of genus 3 and degree 7.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Company. |
| ID Code: | 70220 |
| Deposited On: | 21 Nov 2011 10:56 |
| Last Modified: | 21 Nov 2011 10:56 |
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