# AbstractSheaf * AbstractSheaf -- (tensor) product of two abstract sheaves

## Synopsis

• Operator: *
• Usage:
F*G
F**G
• Inputs:
• F, ,
• G, ,
• Outputs:
• , the (tensor) product of $F$ and $G$

## Description

If F or G is a ring element of degree 0, it represents a trivial bundle of that rank.

 i1 : X = abstractProjectiveSpace 1 o1 = X o1 : a flag bundle with subquotient ranks {2:1} i2 : OO_X(1) * OO_X(2) o2 = a sheaf o2 : an abstract sheaf of rank 1 on X i3 : chi oo o3 = 4

The sheaves can be on different varieties if one of the varieties is over the other.

## Ways to use this method:

• AbstractSheaf * AbstractSheaf -- (tensor) product of two abstract sheaves
• "AbstractSheaf * QQ"
• "AbstractSheaf * RingElement"
• "AbstractSheaf * ZZ"
• "QQ * AbstractSheaf"
• "RingElement * AbstractSheaf"
• "ZZ * AbstractSheaf"