| dc.contributor.author |
Mehta, Ranjana |
|
| dc.contributor.author |
Saha, Joydip |
|
| dc.contributor.author |
Sengupta, Indranath |
|
| dc.date.accessioned |
2018-08-23T05:49:52Z |
|
| dc.date.available |
2018-08-23T05:49:52Z |
|
| dc.date.issued |
2018-08 |
|
| dc.identifier.citation |
Mehta, Ranjana; Saha, Joydip and Sengupta, Indranath, "Unboundedness of Betti numbers of curves", ACM Communications in Computer Algebra, Aug. 2018. |
en_US |
| dc.identifier.issn |
19322232 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/3869 |
|
| dc.description.abstract |
Bresinsky defined a class of monomial curves in A4 with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounded above. We prove that the same behaviour of unboundedness is true for all the Betti numbers and construct an explicit minimal free resolution for this class. We also propose a general construction of such curves in arbitrary embedding dimension. |
|
| dc.description.statementofresponsibility |
by Ranjana Mehta, Joydip Saha and Indranath Sengupta |
|
| dc.language.iso |
en |
en_US |
| dc.publisher |
Association for Computing Machinery |
en_US |
| dc.subject |
Betti numbers |
en_US |
| dc.subject |
Curve |
en_US |
| dc.subject |
Embedding dimension |
en_US |
| dc.title |
Unboundedness of Betti numbers of curves |
en_US |
| dc.type |
Article |
en_US |
| dc.relation.journal |
ACM Communications in Computer Algebra |
|