Componentwise linearity of projective varieties with almost maximal degree

The degree of a projective subscheme has an upper bound in term the codimension and reduction number. If variety almost maximal degree, that is, equals to minus one, then its Betti table been described explicitly. We build on this work by showing for most such varieties, defining ideals are componentwise linear particular linearity is suitable classifying tables varieties. As application, we compute all varieties with resolution.