3 citations · 8 across the 6 of their papers we have counts for
6 papers
Examples of non-flat bundles of rank one
Ananyo Dan, Agustín Romano-Velázquez
In this article we give several examples of line bundles on certain non-compact surfaces that cannot be equipped with a flat connection.
On a conjecture of Harris
Ananyo Dan
For , the Noether-Lefschetz locus parametrizes smooth, degree surfaces in with Picard number at least . A conjecture of Harris states…
Descent theory of simple sheaves on -fields
Ananyo Dan, Inder Kaur
Let be a -field of any characteristic and a projective variety over . In this article we prove that for a finite Galois extension of , a simple sheaf with co…
Semi-regular varieties and variational Hodge conjecture
Ananyo Dan, Inder Kaur
We know that semi-regular sub-varieties satisfy the variational Hodge conjecture i.e., given a family of smooth projective varieties , a special fiber $\mathca…
Hodge locus and Brill-Noether type locus
Indranil Biswas, Ananyo Dan
Given a family $π:\mc{X} \rightarrow B$ of smooth projective varieties, a closed fiber $\mc{X}_o$ and an invertible sheaf $\mc{L}$ on $\mc{X}_o$, we compare the Hodge locus in …
Non-reduced components of the Noether-Lefschetz locus
Ananyo Dan
For a fixed integer , the Noether-Lefschetz locus parametrizes smooth degree complex hypersurfaces in with Picard number greater than . There are inf…