The Gorenstein property for projective coordinate rings of the moduli of parabolic ${\mathrm{SL}}_2$-principal bundles on a smooth curve

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 $1$.

12 pages, 6 figures, fixed an error in the main theorem, to appear in Electronic Journal of Combinatorics