1 citations · 1 across the 5 of their papers we have counts for
8 papers
Invariant chains of graphs
Do Trong Hoang, Mitra Koley, Dinh Van Le
We initiate a systematic study of Inc-invariant chains of graphs, the combinatorial counterparts of Inc-invariant chains of edge ideals arising in the theory of equivariant Noether…
Polyominoes and Knutson ideals
Mitra Koley, Nirmal Kotal, Dharm Veer
In this article, we study two fundamental questions on polyomino ideals which are radicality and primality. In order to study the question of radicality, we initiate the study of K…
-thresholds of filtrations of ideals
Mitra Koley, Arvind Kumar
In this article, we extend the notion of the -thresholds of ideals to the -thresholds for filtrations of ideals. The existence of -thresholds of filtrations are establishe…
Asymptotic slopes and strong semistability on surfaces
Mitra Koley, A. J. Parameswaran
In this article we study asymptotic slopes of strongly semistable vector bundles on a smooth projective surface. A connection between asymptotic slopes and strong restriction theor…
Gröbner deformation and -singularities
Mitra Koley, Matteo Varbaro
For polynomial ideals in positive charachteristic, defining -split rings and admitting a squarefree monomial initial ideal are different notions. In this note we show that, howe…
Seminormality, canonical modules, and regularity of cut polytopes
Mitra Koley, Tim Römer
Motivated by a conjecture of Sturmfels and Sullivant we study normal cut polytopes. After a brief survey of known results for normal cut polytopes it is in particular observed that…
Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra
Kriti Goel, Mitra Koley, J. K. Verma
We prove that the Hilbert-Kunz function of the ideal of the Rees algebra , where is an -primary ideal of a -dimensional local ring $(R…
-rationality of Rees algebras
Mitra Koley, Manoj Kummini
In this paper, we study the -rationality of the Rees algebra and the extended Rees algebra of -primary ideals in excellent local rings of prime…