On Fri, Aug 23, 2019 at 3:55 AM Dan Abramovich <dan_abramov...@brown.edu> wrote:
> a student of mine, Jonghyun Lee, will be coding the resolution of 
> singularities algorithm of the
>
> paper
>
>
> https://arxiv.org/abs/1906.07106
>
>
> as part of his senior thesis. He is working in sage (that's what he chose!).
>
>
> two questions:
>
>
> 1. Are there packages in sage parallel to those available in Singular or 
> Macaulay?

Singular has an efficient interface to Sage, so normally one would
create a Sage interface to a Singular
package rather than an independent implementation.

The interface to Macaulay2 is on the other hand pretty basic and slow,
so it might be
different for Macaulay2.

What kind of functionality of Sage is needed for the project which is
not in Singular?

A more efficient way might be to implement the algorithm in Singular
(or Macaulay2) and then
expose in in Sage, rather than spend time fighting the interfaces.


>
>
> 2. Is there any existing resolution of singularities package? Anyone else 
> working on similar projects?

I know about

1) resolution of some kind of toric singularites package in Macaulay2

2) resolution of surface singularites in Singular
https://www.singular.uni-kl.de/Manual/latest/sing_934.htm#SEC986

HTH
Dima
>
> Best,
>
>
> - Dan Abramovich
>
>
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