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math.AG2024
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…
math.AG2024
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…
math.AG2024
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…