coxDegrees -- Computes the degree of a polynomial in the Cox ring corresponding to a section of a bundle on the scroll

Synopsis

Usage:

coxDegrees(ab,e)
Inputs:
- ab, a list, containing the twist $a$ of the hyperplane class and $b$ of the ruling
- e, a list, the type of the scroll
Outputs:
- ab', a list, containing the bidegree in the Cox ring

Description

This function computes integers a' and b' such that $H^0(O_{P(E)}(aH+bR))$ corresponds to basis($\{a',b'\}$,S), where S is the Cox ring of the scroll $P(E)$.

Ways to use coxDegrees :

coxDegrees(List,List)

For the programmer

The object coxDegrees is a method function.

coxDegrees -- Computes the degree of a polynomial in the Cox ring corresponding to a section of a bundle on the scroll

Synopsis

Description

See also

Ways to use coxDegrees :

For the programmer