4 papers
Elimination Templates in Macaulay2
Manav Batavia, Cheng Chen, Anna Natalie Chlopecki +4
We introduce the package \texttt{EliminationTemplates} for the Macaulay2 computer algebra system, which provides tools for constructing automatic solvers for families of zero-dimen…
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.…
Vanishing of local cohomology in unramified mixed characteristic
Manav Batavia
Given an ideal in a regular local ring , the cohomological dimension of in is the index of the highest non-vanishing local cohomology of supported at . Determ…
Syzygies of associated graded modules
H. Ananthnarayan, Manav Batavia, Omkar Javadekar
Given a finitely generated module over a Noetherian local ring , we give a characterization for the first syzygy of the associated graded module to be…