36 citations · 113 across the 18 of their papers we have counts for
4 papers · 2 filters
Generalization of Neron models of Green, Griffiths and Kerr
Morihiko Saito
We explain some recent developments in the theory of Neron models for families of Jacobians associated to variations of Hodge structures of weight -1.
On the algebraicity of the zero locus of an admissible normal function
Patrick Brosnan, Gregory Pearlstein
We show that the zero locus of an admissible normal function on a smooth complex algebraic variety is algebraic.
Essential dimension, spinor groups and quadratic forms
Patrick Brosnan, Zinovy Reichstein, Angelo Vistoli
We prove that the essential dimension of the spinor group Spin_n grows exponentially with n; in particular, we give a precise formula for this essential dimension when n is not div…
Essential dimension of moduli of curves and other algebraic stacks
Patrick Brosnan, Zinovy Reichstein, Angelo Vistoli +1
In this paper we address questions of the following type. Let k be a base field and K/k be a field extension. Given a geometric object X over a field K (e.g. a smooth curve of genu…