4 papers
The arithmetic rank of the residual intersections of a complete intersection ideal
Manav Batavia, Kesavan Mohana Sundaram, Vaibhav Pandey +1
The arithmetic rank of an ideal in a polynomial ring over an algebraically closed field is the smallest number of equations needed to define its vanishing locus set-theoretically.…
The arithmetic rank of determinantal nullcones
Jack Jeffries, Vaibhav Pandey, Anurag K. Singh +1
We compute the arithmetic rank as well as the local/étale cohomological dimension of nullcone ideals arising from the classical actions of the symplectic group, the general linear…
Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings
Marta Benozzo, Vignesh Jagathese, Vaibhav Pandey +3
We study the plus-pure threshold (ppt) of hypersurfaces in mixed characteristic. We show that the ppt limits to the -pure threshold (fpt) as we ramify the base DVR. Additionally…
Symbolic powers of the generic linkage of maximal minors
Vaibhav Pandey, Matteo Varbaro
Let be the ideal generated by the maximal minors of a matrix of indeterminates over a field and let denote the generic link, i.e., the most general link, of . The genera…