6 citations · 6 across the 5 of their papers we have counts for
5 papers
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…
Associated primes of local cohomology modules
Anurag K. Singh
This is an expanded version of a lecture on finiteness properties of local cohomology modules given at the 48th Algebra Symposium held at Nagoya University in August 2003.
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…