Paper
On infinitesimal deformations of singular varieties III
Authors
Mounir Nisse
Abstract
We study the affine cone over a reducible nodal curve obtained by gluing three projective lines along three pairs of points to form a connected curve of arithmetic genus . We endow with a line bundle of multidegree \((4,3,3)\), and we show that is very ample, giving an embedding into . We then analyze in detail the affine cone \( C(X) \) and determine its singular locus, which consists of three singular lines meeting at the vertex.