[GS_M_AG] A geometric description of moduli space of semi-stable sheaves via generalized logarithmic sheaves
ABSTRACT
Since P. Deligne's introduction of the logarithmic sheaf of differential forms, it has played a key role in the study of Torelli properties and moduli spaces of stable sheaves. In this talk, I will introduce a generalization of this concept defined for a smooth complete intersection variety $X$ and its complete intersecting subvariety $Y$ in $\mathbb P^N$. As a concrete application, we will investigate the locus of these net logarithmic tangent sheaves on smooth quadric and cubic surfaces in $\mathbb P^3$, explicitly describing their closures within the corresponding moduli spaces of semistable sheaves and verifying that the Torelli property holds.
