# eulers(Ideal) -- list the sectional Euler characteristics

## Synopsis

• Function: eulers
• Usage:
eulers I
• Inputs:
• Outputs:
• a list, the successive sectional Euler characteristics of an ideal (sheaf).

## Description

Computes a list of the successive sectional Euler characteristics of an ideal (sheaf), the i-th entry in the list being the Euler characteristic of the i-th generic hyperplane restriction of I
 i1 : R = ZZ/101[a,b,c]; i2 : I =ideal(a^3+b^3+c^3) 3 3 3 o2 = ideal(a + b + c ) o2 : Ideal of R i3 : eulers I o3 = {0, 3} o3 : List