Geodesic
The Gorenstein property for projective coordinate rings of the moduli of parabolic \(\mathrm{SL}_2\)-principal bundles on a smooth curve
Theodore Faust1 ; Christopher Manon1
1George Mason University
The electronic journal of combinatorics, Tome 26 (2019) no. 4
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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 $1$.
DOI : 10.37236/6438
Classification : 14D20, 14M05, 52B20

Theodore Faust  1   ; Christopher Manon  1

1 George Mason University 
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     author = {Theodore Faust and Christopher Manon},
     title = {The {Gorenstein} property for projective coordinate rings of the moduli of parabolic {\(\mathrm{SL}_2\)-principal} bundles on a smooth curve},
     journal = {The electronic journal of combinatorics},
     year = {2019},
     volume = {26},
     number = {4},
     doi = {10.37236/6438},
     zbl = {1495.14016},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6438/}
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Theodore Faust; Christopher Manon. The Gorenstein property for projective coordinate rings of the moduli of parabolic \(\mathrm{SL}_2\)-principal bundles on a smooth curve. The electronic journal of combinatorics, Tome 26 (2019) no. 4. doi: 10.37236/6438

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