4 papers
Extendability of projective varieties via degeneration to ribbons with applications to Calabi-Yau threefolds
Purnaprajna Bangere, Jayan Mukherjee
In this article we study the extendability of a smooth projective variety by degenerating it to a ribbon. We apply the techniques to study extendability of Calabi-Yau threefolds $X…
Geography and Deformations of -Covers of General Type Over Weighted Projective Threefolds
Patricio Gallardo, Jayan Mukherjee
We study threefolds of general type constructed as -covers of weighted projective spaces with a particular focus on their invariants, deformation theory, and the be…
Extendability of general surfaces without Gaussian maps and classification of non-prime Fano threefolds
Purnaprajna Bangere, Jayan Mukherjee
In arXiv:2409.03960, we introduced an approach to the question of extendability of projective varieties via degeneration to ribbons. In this article we build on these methods to gi…
Syzygies of canonical ribbons on higher genus curves
Anand Deopurkar, Jayan Mukherjee
We study the syzygies of the canonical embedding of a ribbon on a curve of genus . We show that the linear series Clifford index and the resolution Cl…