Minimal graded free resolution for monomial curves in A4 defined by almost arithmetic sequences

Show simple item record

dc.contributor.author Roy, Achintya Kumar
dc.contributor.author Sengupta, Indranath
dc.contributor.author Tripathi, Gaurab
dc.date.accessioned 2015-03-25T10:50:14Z
dc.date.available 2015-03-25T10:50:14Z
dc.date.issued 2015-03
dc.identifier.citation Roy, Achintya Kumar; Sengupta, Indranath and Tripathi, Gaurab, “Minimal graded free resolution for monomial curves in A4 defined by almost arithmetic sequences”, arXiv, Cornell University Library, DOI: arXiv:1503.02687, Mar. 2015. en_US
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/1647
dc.description.abstract Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers with gcd(m0,m1,m2,n)=1, such that m0<m1<m2 form an arithmetic progression, n is arbitrary and they minimally generate the numerical semigroup $\Gamma = m_0\N + m_1\N + m_2\N + n\N$. Let k be a field. The homogeneous coordinate ring k[Γ] of the affine monomial curve parametrically defined by X0=tm0,X1=tm1,X2=tm3,Y=tn is a graded R-module, where R is the polynomial ring k[X0,X1,X3,Y] with the grading degXi:=mi,degY:=n. In this paper, we construct a minimal graded free resolution for k[Γ]. en_US
dc.description.statementofresponsibility by Achintya Kumar Roy, Indranath Sengupta and Gaurab Tripathi
dc.language.iso en en_US
dc.publisher Cornell University Library en_US
dc.subject Arithmetic sequence en_US
dc.subject Monomial Curves en_US
dc.subject Numerical semigroup en_US
dc.title Minimal graded free resolution for monomial curves in A4 defined by almost arithmetic sequences en_US
dc.type Preprint en_US


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search Digital Repository


Browse

My Account