Hadamard -- a package to study Hadamard products of varieties.

Description

This package provides a class for representing points in projective space and methods for computing Hadamard products of varieties.

Author

Iman Bahmani Jafarloo <[email protected]>

Version

This documentation describes version 0.1 of Hadamard.

Citation

If you have used this package in your research, please cite it as follows:

@misc{HadamardSource,
  title = {{Hadamard: Hadamard products of projective subvarieties. Version~0.1}},
  author = {Iman Bahmani Jafarloo},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/master/M2/Macaulay2/packages}}
}

Exports

Types
- Point -- a new type for points in projective space
Functions and commands
- hadamardPower -- computes the Hadamard powers of varieties
- hadamardProduct -- computes the Hadamard product of varieties
- idealOfProjectivePoints -- computes the ideal of set of points
- point -- constructs a projective point from the list (or array) of coordinates.
Methods
- hadamardPower(Ideal,ZZ) -- computes the $r$-th Hadmard powers of varieties
- hadamardPower(List,ZZ) -- computes the $r$-th Hadmard powers of a set points
- hadamardProduct(Ideal,Ideal) -- Hadamard product of two homogeneous ideals
- hadamardProduct(List) -- Hadamard product of a list of homogeneous ideals, or points
- hadamardProduct(List,List) -- Hadamard product of two sets of points
- idealOfProjectivePoints(List,Ring) -- see idealOfProjectivePoints -- computes the ideal of set of points
- point(VisibleList) -- see point -- constructs a projective point from the list (or array) of coordinates.
- Point * Point -- entrywise product of two projective points
- Point == Point -- check equality of two projective points

For the programmer

The object Hadamard is a package, defined in Hadamard.m2.

The source of this document is in Hadamard.m2:173:0.