Browsing Mathematics by Title

Browsing Mathematics by Title

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  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-01)
    Bresinsky defined a class of monomial curves in A4 with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounded above. We prove that the same behaviour of unboundedness ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (World Scientific Publishing, 2018-07)
  • Sengupta, Indranath; Saha, Joydip; Tripathi, Gaurab (Cornell University Library, 2016-11)
    In this paper we compute the Betti numbers for ideals of the form I1(XY)+J, where X and Y are matrices and J is the ideal generated by the 2×2 minors of the matrix consisting of any two rows of X.
  • Saha, Joydip; Tripathi, Gaurab (COCOA, Indian Institute of Technology Gandhinagar, 2016-02-22)
  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2021-04)
    In this paper, we introduce the notion of binomial edge ideals of a clutter and obtain results similar to those obtained for graphs by Rauf \& Rinaldo in \cite(raufrin). We also answer a question posed in their paper.
  • Mishra, Rohit Kumar; Monard, Francois; Zou, Yuzhou (Cornell University Library, 2022-03)
    We study various self-adjoint realizations of the X-ray transform on the Euclidean disk D, obtained by considering specific singularly weighted L2 topologies. We first recover the well-known Singular Value Decompositions ...
  • Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru (Cornell University Library, 2021-08)
    We consider two sequences a(n) and b(n), 1≤n<∞, generated by Dirichlet series of the forms ∑n=1∞a(n)λsnand∑n=1∞b(n)μsn, satisfying a familiar functional equation involving the gamma function Γ(s). A general identity is ...
  • Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru (American Mathematical Society, 2022-06)
    We consider two sequences a(n) and b(n), 1 ? n < ?, generated by Dirichlet series of the forms satisfying a familiar functional equation involving the gamma function ?(s). A general identity is established. Appearing on ...
  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2022-03)
    For a graph G, Bolognini et al. have shown JG is strongly unmixed ? JG is Cohen-Macaulay ? G is accessible, where JG denotes the binomial edge ideals of G. Accessible and strongly unmixed properties are purely combinatorial. ...
  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2022-03)
    The study of the edge ideal I(DG) of a weighted oriented graph DG with underlying graph G started in the context of Reed-Muller type codes. We generalize a Cohen-Macaulay construction for I(DG), which Villarreal gave for ...
  • Balu, Ambhore Siddhi; Sengupta, Indranath (Cornell University Library, 2021-05)
    We find an explicit expression of the associated primes of monomial ideals as a colon.
  • Dixit, Atul; Goswami, Ankush (Cornell University Library, 2022-01)
    We obtain a three-parameter q-series identity that generalizes two results of Chan and Mao. By specializing our identity, we derive new results of combinatorial significance in connection with N(r,s,m,n), a function counting ...
  • Ghara, Soumitra; Kumar, Surjit; Misra, Gadadhar; Pramanick, Paramita (Cornell University Library, 2022-01)
    Let Bd be the open Euclidean ball in Cd and T:=(T1,…,Td) be a commuting tuple of bounded linear operators on a complex separable Hilbert space H. Let U(d) be the linear group of unitary transformations acting on Cd by the ...
  • Cicek, Fatma; Davidoff, Giuliana; Dijols, Sarah; Hammonds, Trajan; Pollack, Aaron; Roy, Manami (Cornell University Library, 2021-04)
    Modular forms on the split exceptional group G2 over Q are a special class of automorphic forms on this group, which were introduced by Gan, Gross, and Savin. If π is a cuspidal automorphic representation of G2(A) corresponding ...
  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2021-04)
    In this paper, starting with an arbitrary graph G, we give a construction of a graph [G] with Cohen-Macaulay binomial edge ideal. We have extended this construction for clutters also. We also discuss unmixed and Cohen-Macaulay ...
  • Srivastava, Tanya Kaushal; Tirabassi, Sofia (2021-09)
    In this article, we prove that a tame twisted K3 surface over an algebraically closed field of positive characteristic has only finitely many tame twisted Fourier-Mukai partners and we give a counting formula in case we ...
  • Pahlajani, Chetan D.; Yadav, Indrajeet; Tanner, Herbert G.; Poulakakis, Ioannis (2016-11-06)
  • Saha, Joydip; Sengupta, Indranath (Indian Academy of Sciences, 2022-06)
    In this paper, we explicitly compute the derivation module of quotients of polynomial rings by ideals formed by the sum or by some other gluing technique. We discuss cases of monomial ideals and binomial ideals separately.
  • Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2019-09)
    In this paper we explicitly compute the derivation module of quotients of polynomial rings by ideals formed by the sum or by some other gluing technique. We discuss cases of monomial ideals and binomial ideals separately.

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