Sharan, N. Guru(Cornell University Library, 2025-07)
The rook numbers are fairly well-studied in the literature. In this paper, we study the max-rook number of the Ferrers boards associated to integer partitions. We show its connections with the Durfee triangle of the ...
We study the gauge-theoretic aspects of real and quaternionic parabolic bundles over a real curve ( X , σ X ) , where X is a compact Riemann surface and σ X is an anti-holomorphic involution. For a fixed real or quaternionic ...
Let K be a field of characteristic zero and K[X] = K[x1, x2,...,xn] be the polynomial algebra in n variables over K. We show that, for a linear K-derivation d of K[X] and the maximal ideal m = (x1, x2,...,xn) of K[X], if ...
We characterize Cohen-Macaulay posets of dimension two; they are precisely the shellable and strongly connected posets of dimension two. We also give a combinatorial description of these posets. Using the fact that ...
Pahlajani, Chetan D.(Cornell University Library, 2025-06)
In the present work, we explore homogenization techniques for a class of switching diffusion processes whose drift and diffusion coefficients, and jump intensities are smooth, spatially periodic functions; we assume full ...
Using joint reductions of complete ideals, we find expressions for the core and adjoints of the product of complete ideals in a two-dimensional regular local ring. We also compute their colengths. Our results strengthen a ...
Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath(Cornell University Library, 2025-06)
We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concatenation classes have Cohen-Macaulay tangent ...
Puthenpurakal, Tony J.; Roy, Sudeshna(Elsevier, 2025-11)
Let A be a Dedekind domain of characteristic zero such that its localization at every maximal ideal has mixed characteristic with finite residue field. Let R = A[X1,...,Xn] be a polynomial ring and I = (a1U1,...,acUc) ⊆ R ...
Dixit, Atul; Sathyanarayana, Sumukha; Sharan, N. Guru(Springer, 2025-07)
A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on p. 220 of Ramanujan’s Lost Notebook as well as a corresponding recent result ...
We study the projective closures of three important families of affine monomial curves in dimension 4, namely the Backelin curve, the Bresinsky curve and the Arslan curve, in order to explore possible connections between ...
We study the behavior of the Hilbert–Kunz multiplicity of powers of an ideal in a local ring. In dimension 2, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in ...
Pandit, Sudip; Saha, Arnab(International Press of Boston, 2025)
The first part of the paper develops the theory of m-shifted π-typical Witt vectors which can be viewed as subobjects of the usual π-typical Witt vectors. We show that the shifted Witt vectors admit a delta structure that ...
In this article, we study various aspects of the mixed ray transform of (k + l)-tensor fields that are symmetric in its first k and last indices. As a first result, we derive an inversion algorithm to recover the solenoidal ...
Previously, using the theory of delta characters for Drinfeld modules, one constructed a finite free R -module H ( E ) with a semilinear operator on it, and hence a canonical z -isocrystal H δ ( E ) was attached to any ...
Biswas, Surajit; Saurabh, Bipul(Cornell University Library, 2025-04)
We compute the spectral dimension, the dimension of a symmetric random walk, and the Gelfand-Kirillov dimension for compact Vilenkin groups. As a result, we show that these dimensions are zero for any compact, totally ...