Macaulay2 » Documentation
Packages » SectionRing :: globallyGenerated
next | previous | forward | backward | up | index | toc

# globallyGenerated -- globallyGenerated(D) produces a smallest integer a such that O_X(aD) is globally generated.

- Usage:
    `globallyGenerated(D)`
    `globallyGenerated(I)`
    `globallyGenerated(M)`
- Inputs:
  - D, an instance of the type WeilDivisor,
  - I, an ideal,
  - M, a module,
- Outputs:
  - a number,

## Description

Takes a divisor as input. It then uses a binary search to check for the smallest integer a with the property that |aD| is a basepoint-free linear series. In this case, the corresponding line bundle is globally generated.

## Ways to use globallyGenerated:

- globallyGenerated(Ideal) (missing documentation)
- globallyGenerated(Module) (missing documentation)

## For the programmer

The object globallyGenerated is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/SectionRing.m2:416:0.