Brauer group of moduli spaces of pairs
Indranil Biswas, Marina Logares, Vicente Mu\~noz
TL;DR
This paper proves that the Brauer group of moduli spaces of stable pairs with fixed determinant over a curve is always zero, simplifying their algebraic structure.
Contribution
It establishes the vanishing of the Brauer group for these moduli spaces, a result not previously known.
Findings
Brauer group of moduli space is zero
Simplifies understanding of the algebraic structure
Applicable to all stable pairs with fixed determinant
Abstract
We show that the Brauer group of any moduli space of stable pairs with fixed determinant over a curve is zero.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology