Tangent Algebras

A. Simis, B. Ulrich, W. V. Vasconcelos

\noindent We study the Zariski tangent cone $T_X\stackrelπ{\lar} X$ to an affine variety $X$ and the closure ${\bar{T}}_X$ of ${\pi }^{-1}(\mathrm{Reg}(X))$ in $T_X$. We focus on the compari…