2 citations · 6 across the 6 of their papers we have counts for
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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…
Local topological obstruction for divisors
Indranil Biswas, Ananyo Dan
Given a smooth, projective variety and an effective divisor , it is well-known that the (topological) obstruction to the deformation of the fundamental class…
Néron models of intermediate Jacobians associated to moduli spaces
Ananyo Dan, Inder Kaur
Let be a flat family of smooth, projective curves of genus , degenerating to an irreducible nodal curve with exactly one node. Fix an inverti…
Examples of varieties with index one on -fields
Ananyo Dan, Inder Kaur
Let be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field . In this article we give a sufficient criterion for a projective va…
Generalization of a conjecture of Mumford
Ananyo Dan, Inder Kaur
A conjecture of Mumford predicts a complete set of relations between the generators of the cohomology ring of the moduli space of rank 2 semi-stable sheaves with fixed odd degree d…