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math.AC2021
Binomial expansion for saturated and symbolic powers of sums of ideals
Huy Tai Ha, A. V. Jayanthan, Arvind Kumar +1
There are two different notions for symbolic powers of ideals existing in the literature, one defined in terms of associated primes, the other in terms of minimal primes. Elaborati…
math.AC2021★ 1 cited
On the resurgence and asymptotic resurgence of homogeneous ideals
A. V. Jayanthan, Arvind Kumar, Vivek Mukundan
Let be a field and . We obtain an improved upper bound for asymptotic resurgence of squarefree monomial ideals in . We study the e…
math.AC2021
Rees algebra and special fiber ring of binomial edge ideals of closed graphs
Arvind Kumar
In this article, we compute the regularity of Rees algebra of binomial edge ideals of closed graphs. We obtain a lower bound for the regularity of Rees algebra of binomial edge ide…