arXiv subjects

Masahiro Ohtani

Publications and source records attributed to Masahiro Ohtani.

2 recordsLinked to original sources

arXiv2009

Graphs and Ideals generated by some 2-minors

Let G be a finite graph on [n] = {1,2,3,...,n}, X a 2 times n matrix of indeterminates over a field K, and S = K[X] a polynomial ring over K. In this paper, we study about ideals I_G of S generated by 2-minors [i,j] of X which correspond to edges {i,j} of G. In particular, we construct a Groebner basis of I_G as a set of paths of G and compute a primary decomposition.

math.AC↗

arXiv2009

Equivariant Matlis and the local duality

Generalizing the known results on graded rings and modules, we formulate and prove the equivariant version of the local duality on schemes with a group action. We also prove an equivariant analogue of Matlis duality.

math.AC↗