19 citations · 19 across the 8 of their papers we have counts for
9 papers
On the -invariant of a normal graded ring
Aryaman Maithani, Anurag K. Singh, Kei-ichi Watanabe
The -invariant of a normal graded ring was defined recently by Okuma, Watanabe, and Yoshida. We study this for invariant rings of finite groups, proving that it is nonpositive i…
Generic flatness of the cohomology of thickenings
Edoardo Ballico, Yairon Cid-Ruiz, Anurag K. Singh
We prove a generic flatness result for the cohomology of thickenings of a projective scheme that is smooth over a Noetherian domain containing a field of characteristic zero. Our s…
Abelian extensions of equicharacteristic regular rings need not be Cohen-Macaulay
Aryaman Maithani, Anurag K. Singh, Prashanth Sridhar
By a theorem of Roberts, the integral closure of a regular local ring in a finite abelian extension of its fraction field is Cohen-Macaulay, provided that the degree of the extensi…
Ideals generated by power sums
Aldo Conca, Anurag K. Singh, Kannan Soundararajan
We consider ideals in a polynomial ring generated by collections of power sum polynomials, and obtain conditions under which these define complete intersection rings, normal domain…
Invariant rings of the special orthogonal group have nonunimodal -vectors
Aldo Conca, Anurag K. Singh, Matteo Varbaro
For an infinite field of characteristic other than two, consider the action of the special orthogonal group on a polynomial ring via copies of the regu…
Simplicial complexes and matroids with vanishing
Alexandru Constantinescu, Patricia Klein, Thai Thanh Nguyen +2
We investigate quotients by radical monomial ideals for which , the second cotangent cohomology module, vanishes. The dimension of the graded components of , and thus the…