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pro vyhledávání: '"Tarasova, Yevgeniya"'
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 the nullcone of the action, that is, the vanishing locus of all non-co
Externí odkaz:
http://arxiv.org/abs/2310.01816
Autor:
Pandey, Vaibhav, Tarasova, Yevgeniya
In this paper, we prove that the generic link of a generic determinantal ring defined by maximal minors is strongly $F$-regular. In the process, we strengthen a result of Chardin and Ulrich in the graded setting. They showed that the generic residual
Externí odkaz:
http://arxiv.org/abs/2211.07922
Autor:
Tarasova, Yevgeniya
If $I$ is a perfect ideal in a local Cohen-Macaulay ring, the generators of ideals linked to $I$ are well understood. However, the generators of the residual intersections of $I$ have only been computed in a few special cases. In this paper, we show
Externí odkaz:
http://arxiv.org/abs/2210.15005
Autor:
Tarasova, Yevgeniya
Under suitable technical assumptions, a description is given for the generators of $s$-residual intersections of an ideal $I$ in terms of lower residual intersections, if $s \geq \mu(I)-2$. This implies that $s$-residual intersections can be expresse
Externí odkaz:
http://arxiv.org/abs/2111.14009
Akademický článek
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The goal of this dissertation is to broaden the classes of ideals for which the generators of residual intersections are known. This is split into two main parts. The first part is Chapter 5, where we prove that, for an ideal I in a local Cohen-Macau
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::073a5d5c5a7f0377787a5996db82933f