Asymptotic Lech Bounds and Bertini Flags

Hong-Ge Chen, Fei Liu

For a $d$-dimensional Noetherian local ring $(R,\mathfrak{m})$, with $d>0$, let $c_{\infty }(R)$ be the limit, as $N\to \infty$, of the suprema of $e_R(I)/(d!{\ell }_R(R/I))$ over ideal…