4 papers
Extended operational Chow group and Lefschetz (1,1)-theorem
Ananyo Dan, Inder Kaur
Let be a singular, projective variety. For every , is equipped with a mixed Hodge structure. The elements of $\mathrm{Gr}^W_{2p}H^{2p}(X,\mathbb{Q})…
Hodge Conjecture via Singular Varieties
Ananyo Dan, Inder Kaur
In this article we study the cohomological and homological (due to Jannsen) Hodge conjecture for singular varieties. The motivation for studying singular varieties comes from the f…
Cohen-Macaulay modules and the Bondal-Orlov conjecture
Ananyo Dan, Yirui Xiong
Most of the known examples of derived categories of small resolutions arise as the derived category of the endormorphism algebra of tilting bundles or complexes. Given two resoluti…
On generically non-reduced components of Hilbert schemes of smooth curves
Ananyo Dan
A classical example of Mumford gives a generically non-reduced component of the Hilbert scheme of smooth curves in the projective 3-space such that a general element of the compone…