Joseph Rabinoff

collaborators

3 papers

math.AG2017

Total $p$ -differentials on schemes over $Z / p^{2}$

Taylor Dupuy, Eric Katz, Joseph Rabinoff +1

For a scheme $X$ defined over the length $2$ $p$ -typical Witt vectors $W_{2} (k)$ of a characteristic $p$ field, we introduce total $p$ -differentials which interpolate between Frobeni…

math.AG2017

A rigid analytic proof that the Abel-Jacobi map extends to compact-type models

Taylor Dupuy, Joseph Rabinoff

Let $K$ be a non-Archimedean valued field with valuation ring $R$ . Let $C_{η}$ be a $K$ -curve with compact type reduction, so its Jacobian $J_{η}$ extends to an abelian $R$ -scheme $J$ .…

math.AG2017

Non-Archimedean and tropical theta functions

Tyler Foster, Joseph Rabinoff, Farbod Shokrieh +1

We define a tropicalization procedure for theta functions on abelian varieties over a non-Archimedean field. We show that the tropicalization of a non-Archimedean theta function is…

Total p-differentials on schemes over Z/p2

A rigid analytic proof that the Abel-Jacobi map extends to compact-type models

Non-Archimedean and tropical theta functions

Total $p$ -differentials on schemes over $Z / p^{2}$