Pith. sign in

Torelli theorem for the Deligne--Hitchin moduli space

· 2008 · math.AG · arXiv 0901.0021

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
open full Pith review browse 1 citing papers arXiv PDF
abstract

Fix integers $g\geq 3$ and $r\geq 2$, with $r\geq 3$ if $g=3$. Given a compact connected Riemann surface $X$ of genus $g$, let $\MDH(X)$ denote the corresponding $\text{SL}(r, {\mathbb C})$ Deligne--Hitchin moduli space. We prove that the complex analytic space $\MDH(X)$ determines (up to an isomorphism) the unordered pair $\{X, \overline{X}\}$, where $\overline{X}$ is the Riemann surface defined by the opposite almost complex structure on $X$.

fields

math.AG 1

years

2019 1

verdicts

CONDITIONAL 1

representative citing papers

Non-Abelian Hodge Theory and Related Topics

math.AG · 2019-08-22 · conditional · novelty 4.0

A survey of non-Abelian Hodge theory and related moduli spaces, with a new explicit description of Simpson filtrations for rank 3 flat bundles.

citing papers explorer

Showing 1 of 1 citing paper.

  • Non-Abelian Hodge Theory and Related Topics math.AG · 2019-08-22 · conditional · none · ref 8 · internal anchor

    A survey of non-Abelian Hodge theory and related moduli spaces, with a new explicit description of Simpson filtrations for rank 3 flat bundles.