6 papers
The F-signature of Determinantal Rings
Hang Huang, Cheng Meng, Cheng Mend +2
Let be the determinantal hypersurface ring defined by the determinant of a generic matrix in characteristic where . In this paper, we obtain ex…
Smooth Herzog projective curves
Hang Huang, Yevgeniya Tarasova, Matteo Varbaro +1
We prove that smooth projective curves admitting a squarefree Groebner degeneration have genus 0.
On the natural nullcones of the symplectic and general linear groups
Vaibhav Pandey, Yevgeniya Tarasova, Uli Walther
Consider a group acting on a polynomial ring S over a field K by degree-preserving K-algebra automorphisms. Several key properties of the invariant ring can be deduced by studying…
Linkage and -Regularity of Determinantal Rings
Vaibhav Pandey, Yevgeniya Tarasova
In this paper, we prove that the generic link of a generic determinantal ring defined by maximal minors is strongly -regular. In the process, we strengthen a result of Chardin a…
Generating Residual Intersections of Determinantal Ideals
Yevgeniya Tarasova
If is a perfect ideal in a local Cohen-Macaulay ring, the generators of ideals linked to are well understood. However, the generators of the residual intersections of h…
Generators of Residual Intersections
Yevgeniya Tarasova
Under suitable technical assumptions, a description is given for the generators of -residual intersections of an ideal in terms of lower residual intersections, if $s \geq μ…