1211.1946Nov 8, 20128 pages, minor typos are corrected, some reference are added and a new application about the triviality of 1-Griffiths group of Fano complete intersections with index $\geq 2$ is included
On the Space of Conics on Complete Intersections
Hong R. Zong
Abstract
We get sharp degree bound for generic smoothness and connectedness of the space of conics in low degree complete intersections which generalizes the old work about Fano scheme of lines on Hypersurfaces.