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A Note on Parabolic Bundles on Nodal Curves
C. Arusha, Sanjay Kumar Singh
Mehta and Seshadri have proved that the set of equivalence classes of irreducible unitary representations of the fundamental group of a punctured compact Riemann surface, can be id…
Second Order parallel tensor on generalized f.pk-space form and hypersurfaces of generalized f.pk-space form
Punam Gupta, Sanjay Kumar Singh
The purpose of the present paper to study a second order symmetric parallel tensor in generalized f.pk-space form. Second order symmetric parallel tensor in f.pk-space form is comb…
Projective Poincaré and Picard bundles for moduli spaces of vector bundles over nodal curves
C. Arusha, Usha N. Bhosle, Sanjay Kumar Singh
Let be the moduli space of stable vector bundles of rank with determinant where is a fixed line bundle of degree over a nodal curve . We prove th…
Generalization of trace codes to places of higher degree
Nupur Patanker, Sanjay Kumar Singh
In this note, we give a construction of codes on algebraic function field using places of (not necessarily of degree one) and trace functions from various e…
Generalized Hamming weights of toric codes over hypersimplices and square-free affine evaluation codes
Nupur Patanker, Sanjay Kumar Singh
Let be a finite field with elements, where is a power of prime . A polynomial over is square-free if all its monomials are square-free.…