Sanath K. Devalapurkar

most citedThe Dieudonné modules and Ekedahl-Oort types of Jacobians of hyperelliptic curves in odd characteristic

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.AT2019

Hodge theory for elliptic curves and the Hopf element $ν$

Sanath K. Devalapurkar

We show that the vector bundle on the moduli stack $M_{ell}$ of elliptic curves associated to the $2$ -cell complex $C ν$ is isomorphic to the de Rham cohomology sheaf $\mathr…

math.AT2019

The Ando-Hopkins-Rezk orientation is surjective

Sanath K. Devalapurkar

We show that the map $π_{*} MString \to π_{*} tmf$ induced by the Ando-Hopkins-Rezk orientation is surjective. This proves an unpublished claim of Hopkins and Ma…

math.AG2017★ 4 cited

The Dieudonné modules and Ekedahl-Oort types of Jacobians of hyperelliptic curves in odd characteristic

Sanath Devalapurkar, John Halliday

Given a principally polarized abelian variety $A$ of dimension $g$ over an algebraically closed field $k$ of characteristic $p$ , the $p$ torsion $A [p]$ is a finite flat $p$ -torsion…

Hodge theory for elliptic curves and the Hopf element ν

The Ando-Hopkins-Rezk orientation is surjective

The Dieudonné modules and Ekedahl-Oort types of Jacobians of hyperelliptic curves in odd characteristic

Hodge theory for elliptic curves and the Hopf element $ν$