Cohen-Macaulay local rings with $e_2=e_1-e+1$

Ankit Mishra, Tony J. Puthenpurakal

In this paper we study Cohen-Macaulay local rings of dimension $d$, multiplicity $e$ and second Hilbert coefficient $e_2$ in the case $e_2=e_1-e+1$. Let $h = μ(\mathfrak{m})…