14 papers
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…
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…
Projective smoothing of varieties with simple normal crossings
Purnaprajna Bangere, Francisco Javier Gallego, Jayan Mukherjee
In this article, we introduce a new approach to show the existence and smoothing of simple normal crossing varieties in a given projective space. Our approach relates the above to…
Koszul property of Ulrich bundles and rationality of moduli spaces of stable bundles on Del Pezzo surfaces
Purnaprajna Bangere, Jayan Mukherjee, Debaditya Raychaudhury
Let be a vector bundle on a smooth projective variety that is Ulrich with respect to the hyperplane section . In this article, we study th…