Title Projective geometry related to the secant loci in symmetric product of smooth algebraic curves Type of Research Presentation Keywords Symmetric Products; Very Ample Line Bundle. Abstract We describe the tangent space of the secant loci associated to a line bundle on a projective smooth algebraic curve. Denoting by $ V^{r}_{d}(L)$ the $(d-r)$-th secant loci of $C$ associated to the line bundle $L$ on $C$, we obtain: Researchers Ali Bajravani (First Researcher)