From the 1 of 8 linked papers with an AI index.
8 papers
Extremal behavior of ideals of minors
Trung Chau, Michael DeBellevue, Souvik Dey +2
The paper proves that for modules over certain local rings (fiber products and artinian stretched Gorenstein rings) the ideals generated by minors in their minimal free resolutions…
Purity of extremal rays of Betti cones
H. Ananthnarayan, Omkar Javadekar, Rajiv Kumar
Let be a standard graded algebra over an infinite field , and let and denote the rational c…
On licci squarefree monomial ideals
Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar
We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squa…
On Golod Subdeterminantal Ideals
Omkar Javadekar
Let be a matrix of indeterminates and let be a polynomial ring over an infinite field $\mathbb{k}…
Projective monomial curves associated to numerical semigroups with multiplicity , width , and embedding dimension
Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar
Numerical semigroups with multiplicity , width , and embedding dimension are of the form $$S(e,m,n) = \langle \{e, e+1, \ldots, 2e-1\} \setminus \{e+m, e+n\} \rangle,…
A comparison of the regularity of certain classes of monomial ideals and their integral closures
Omkar Javadekar
Let , be an ideal of , and denote its integral closure. A conjecture of Küronya and Pintye states that for any homogeneous ideal…