The Gorenstein Property for Projective Coordinate Rings of the Moduli of Parabolic $\mathrm{SL}_2$-Principal Bundles on a Smooth Curve

  • Theodore Faust
  • Christopher Manon
DOI: https://doi.org/10.37236/6438

Abstract

Using combinatorial methods, we determine that a projective coordinate ring of the moduli of parabolic principal $\mathrm{SL}_2-$bundles on a marked projective curve is not Gorenstein when the genus and number of marked points are greater than $1$.

Published
2019-10-25
Issue
Volume 26, Issue 4 (2019)
Article Number
P4.25