6 citations · 7 across the 15 of their papers we have counts for
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On the arithmetic rank of certain Segre products
Anurag K. Singh, Uli Walther
We compute the arithmetic ranks of the defining ideals of homogeneous coordinate rings of certain Segre products arising from elliptic curves. The cohomological dimension of these…
The F-signature of an affine semigroup ring
Anurag K. Singh
We prove that the F-signature of an affine semigroup ring of positive characteristic is always a rational number, and describe a method for computing this number. We use this metho…
Associated primes of local cohomology modules and of Frobenius powers
Anurag K. Singh, Irena Swanson
We construct normal hypersurfaces whose local cohomology modules have infinitely many associated primes. These include unique factorization domains of characteristic zero with rati…
p-torsion elements in local cohomology modules
Anurag K. Singh
We construct an example where a local cohomology module of a hypersurface has p-torsion elements for every prime integer p, and consequently has infinitely many associated prime id…
Todd classes of affine cones of Grassmannians
Kazuhiko Kurano, Anurag K. Singh
A local ring R is said to be a Roberts ring if tau_R([R]) = [Spec R]_dim R, where tau_R is the Riemann-Roch map for Spec R. Such rings satisfy a vanishing theorem for the Serre int…
Intersection multiplicities over Gorenstein rings
Claudia M. Miller, Anurag K. Singh
We construct a complex of free-modules over a Gorenstein ring R of dimension five, for which the Euler characteristic and Dutta multiplicity are different. This complex is the reso…