6 papers
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…
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…
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…
Frobenius representation type for invariant rings of finite groups
Mitsuyasu Hashimoto, Anurag K. Singh
Let be a finite rank vector space over a perfect field of characteristic , and let be a finite subgroup of . If is a permutation representati…
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…