Hi,
I'm also interested at this project.
On Wednesday, March 2, 2016 at 4:23:17 PM UTC+5:30, mmarco wrote:
> Can you enumerate the functionalities in Macaulay2 that could be added to
> Sage?
>
> El martes, 1 de marzo de 2016, 17:44:24 (UTC+1), AKSHAY AJAGEKAR escribió:
>>
>> Hi,
>> I am Akshay Ajagekar, currently an undergrad at the Indian Institute of
>> Technology.
>> I have been exploring Sage for a few weeks now and I would like to
>> discuss projects I would like to contribute to.
>>
>> Hyperplane Arrangements
>>
>> I have been going through HyperplaneArrangements module in Macaulay2 as
>> suggested in
>> discussions on this group. I have a pretty good idea on how to extend
>> this module in Sage.
>> Can someone guide me further ? Also what mathematical should I have to be
>> eligible for this project, as I have a working
>> knowledge in this subject.
>>
>> Thank you.
>>
>
I roughly went through
1) Hyperplane Arrangement sage
2) Hyperplane Arrangement Macaulay2
then I found those topics has not been covered yet.
(i think orlikSolomon has been implemented. But i could not find the
documentation )
1) randomArrangement
<http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.8.2/share/doc/Macaulay2/HyperplaneArrangements/html/_random__Arrangement.html>
-- generate an arrangement at random
2)orlikTerao
<http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.8.2/share/doc/Macaulay2/HyperplaneArrangements/html/_orlik__Terao.html>
-- defining ideal for the Orlik-Terao algebra
3)lct
<http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.8.2/share/doc/Macaulay2/HyperplaneArrangements/html/_lct.html>
-- Compute the log-canonical threshold of an arrangement
4)meet
<http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.8.2/share/doc/Macaulay2/HyperplaneArrangements/html/_meet.html>
-- meet operation in intersection lattice
5)multIdeal
<http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.8.2/share/doc/Macaulay2/HyperplaneArrangements/html/_mult__Ideal.html>
-- compute a multiplier ideal
Also i found out there are some funtions havenot implemented yet.
Ex: restriction(arrangement) has been implemented.
but no
- restriction(Arrangement,Ideal)
- restriction(Arrangement,RingElement)
- restriction(Flat)
Also i went through the sage code roughly . It has more than 2500 lines .So
i could not go through it carefully.(our mid semester exams are going on :(
)
But after that i'll go through it carefully.
If there are more efficient algorithms than sage in Maculay2 I could find
it. :-) .
thanks :-)
Jayamine.
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