Stacks of cyclic covers of projective spaces

By A. Arsie, Angelo Vistoli. Compositio Mathematica, 2003

89 citations recorded by the source corpus.

We define stacks of uniform cyclic covers of Brauer–Severi schemes, proving that they can be realized as quotient stacks of open subsets of representations, and compute the Picard group for the open substacks parametrizing smooth uniform cyclic covers. Moreover, we give an analogous description for stacks parametrizing triple cyclic covers of Brauer–Severi schemes of rank 1 that are not necessarily uniform, and give a presentation of the Picard group of the substacks corresponding to smooth triple cyclic covers.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e01a8a2c5ad2171ec6b8d035a25370eb8b3c6ba3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. A. Gibney
2. Noah Giansiracusa
3. Brendan Hassett

In Mathematical Physics

1. Noah Giansiracusa
2. A. Gibney
3. Brendan Hassett

Citations in the corpus

• The cone of type A, level one conformal blocks divisors (2011, background): “ the log minimal model program for Mg [HL10b]. The space of smooth hyperelliptic curves can be constructed as a quotient of the space of non-degenerate binary quadratic forms of degree 2g + 2 [AL02], [AV04]. The space of trigonal curves has also been constructed as a quotient [SF00,BV09]. 14 NOAH GI”