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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…
Determinant morphism for singular varieties
Ananyo Dan, Inder Kaur
Let be a projective variety (possibly singular) over an algebraically closed field of any characteristic and be a coherent sheaf. In this article, we define the d…
A specialization property of index
Ananyo Dan, Inder Kaur
In this article we study certain specialization properties of the index of varieties defined by Kollár.
Singularities of the Hilbert scheme of non-reduced curves
Ananyo Dan
In this article, we study the Hilbert scheme of generically non-reduced curves in . We prove the existence of generically non-reduced curves in for whi…
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 …