Jaya Nn Iyer

Projective normality of abelian varieties

We show that ample line bundles L on a g-dimensional simple abelian variety A, satisfying h°(A, L) > 2 g . g!, give projective normal embeddings, for all g > 1.

The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem

In this paper, we obtain an explicit formula for the Chern character of a locally abelian parabolic bundle in terms of its constituent bundles. Several features and variants of parabolic structures are discussed. Parabolic bundles arising from logarithmic connections form an important class of examples. As an application, we consider the situation when the local monodromies are semi-simple and are of finite order at infinity. In this case the parabolic Chern classes of the associated locally abelian parabolic bundle are deduced to be zero in the rational Deligne cohomology in degrees ≥ 2.

The de Rham Bundle on a Compactification of Moduli Space of Abelian Varieties

AbstractIn this paper, we show that the Chern classes ck of the de Rham bundle

Tautological Ring of the Moduli Space of Generalised Parabolic Line Bundles on a Curve

\mathcal{H}_{{\text{dR}}}

Regulators of canonical extensions are torsion: the smooth divisor case

defined on any ‘good’ toroidal compactification

Chow-Künneth decomposition for some moduli spaces.

{\bar {\mathcal{A}_g}}