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Multigraded regularity, reduction vectors and postulation vectors
Parangama Sarkar
We relate the set of complete reduction vectors of a -graded admissible filtration of ideals with the set of multigraded regularities of $G(\mathcal{F})…
Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications
Shreedevi K. Masuti, Parangama Sarkar, J. K. Verma
In this expository paper we present proofs of Grothendieck-Serre Formula for multi-graded algebras and Rees algebras for admissible multi-graded filtrations. As applications, we de…
Postulation and reduction vectors of multigraded filtrations of ideals
Parangama Sarkar, J. K. Verma
We study relationship between postulation and reduction vectors of admissible multigraded filtrations of id…
Local cohomology of multi-Rees algebras, Joint reduction numbers and product of complete ideals
Parangama Sarkar, J. K. Verma
We find conditions on the local cohomology modules of multi-Rees algebras of admissible filtrations which enable us to predict joint reduction numbers. As a consequence we are able…