Generic inner projections of projective varieties and an application to the positivity of double point divisors
Generic inner projections of projective varieties and an application to the positivity of double point divisors
Let $X\subseteq \mathbb {P}^{N}$ be a smooth nondegenerate projective variety of dimension $n\geq 2$, codimension $e$ and degree $d$ with the canonical line bundle $\omega _{X}$ defined over an algebraically closed field of characteristic zero. The purpose here is to prove that the base locus of $|\mathcal {O}_{X}(d-n-e-1)\otimes \omega _{X}^{\vee …