5 citations · 10 across the 7 of their papers we have counts for
7 papers
The Folding Mathematics
Archana S. Morye
Origami is the art of paper folding, and it borrows its name from two Japanese words \emph{ori} and \emph{kami}. In Japanese, {ori} means folding, and the paper is called {kami}. W…
The Serre-Swan Theorem in supergeometry
Archana S. Morye, Abhay Soman, V. Devichandrika
We show the analogue of the Serre-Swan theorem in a context of supergeometry. This theorem gives an equivalence of the category of locally free supersheaves of bounded rank over lo…
Logarithmic Cartan geometry on complex manifolds with trivial logarithmic tangent bundle
Indranil Biswas, Sorin Dumitrescu, Archana S. Morye
Let be a compact complex manifold, and a reduced normal crossing divisor on it, such that the logarithmic tangent bundle is holomorphically triv…
Reduced Groebner Bases With Double Exponential Cardinality
Archana S Morye, Sreenanda S B, Prakash Saivasan
In this article, we investigate the cardinality of Groebner bases under various monomial orderings. We identify a family of polynomials F and a criterion such that the reduced Groe…
Notes on Super Projective Modules
Archana Morye, Aditya Sarma Phukon, Devichandrika V
Projective modules are a link between geometry and algebra as established by the theorem of Serre-Swan. In this paper, we define the super analog of projective modules and explore…
On the Kaehler metrics over ${mathrm{Sym}^{d}(X)$
Anilatmaja Aryasomayajula, Indranil Biswas, Archana S. Morye +1
Let be a compact connected Riemann surface of genus , with . For each , where is the gonality of , the symmetric product embed…
Note on the Serre-Swan Theorem
Archana S. Morye
We determine a class of ringed space X, for which the category of locally free sheaves of bounded rank is equivalent to the category of finitely generated projective A(X)-modules,…