Tate-Shafarevich and Brauer groups of split elliptic threefolds, (with C. Schoen).
Forthcoming.
Rationality of theta characteristics
A theta characteristic is a square root of the canonical bundle. We give some criteria for determining when a curve over a local field has a rational theta characteristic.
Extensions to WC IV
These notes extend results of Pete L. Clark's "Period-index problems in WC-groups IV: a local transition theorem" (to appear, JTNB). In particular, we make precise the relationship between the period and index of principal homogeneous spaces for abelian varieties over C((t)).