# epsilonBounds -- computes bounds for the Seshadri constant a general point

## Synopsis

• Usage:
epsilonBounds(P)
• Inputs:
• P, , of dimension 2
• n, an integer,
• Outputs:
• L, a list, Containin bounds a and b such that a<=epsilon(X_P,L_P;1_P)<=b

## Description

epsilonBounds is a function. It computes bounds for the Seshadri constant at a general point by applying a set of projections. The integer n determines which projections are considered.

 i1 : P=convexHull(matrix{{0,2}}); i2 : Q=convexHull(matrix{{0,4}}); i3 : R=cayley({P,Q},2); i4 : S=convexHull(matrix{{0,1,-1},{1,0,-1}}); i5 : epsilonBounds(R,10) o5 = {2, 2} o5 : List i6 : epsilonBounds(S,10) 3 o6 = {-, 2} 2 o6 : List