# genera(CoherentSheaf) -- list of the successive linear sectional arithmetic genera

## Synopsis

• Function: genera
• Usage:
genera M
• Inputs:
• M,
• Outputs:
• a list, of the successive linear sectional arithmetic genera of the successive generic hyperplane restrictions of M

## Description

Computes the list of successive generic linear sectional arithmetic genera, where the i-th entry in the list is (-1)^dim-support -i * (chi(M ** OO_lin-section) - 1)).
 i1 : V = Proj(ZZ/101[x_0..x_2]); i2 : M = sheaf(image matrix {{x_0^3+x_1^3+x_2^3}}) o2 = image | x_0^3+x_1^3+x_2^3 | 1 o2 : coherent sheaf on V, subsheaf of OO V i3 : genera M o3 = {0, 3, 0} o3 : List