3 papers
math.GT2026
Real rational knots in the quadric of signature~
Shane D'Mello, Priya Rani
We study the space of real rational curves of low degree in the quadric of signature and provides a classificaton of real rational knots and nodal curves. Apart from the cl…
math.GT2021
Properties of glued knots
Shane D'Mello, Vinay Gaba
We study the properties of glued knots, a sub-class of real rational knots, that can be constructed by gluing ellipses. We define an invariant called the gluing degree and relate i…
math.AG2016
M-curves and symmetric products
Indranil Biswas, Shane D'Mello
Let be a geometrically irreducible smooth projective M-curve of genus defined over the field of real numbers. We prove that the -th symmetric product of …