For C a stable curve of arithmetic genus g ≥ 2 and D the determinant of cohomology line bundle on BunSL(r)(C), we show that the section ring for the pair (BunSL(r)(C),D) is finitely generated. Applications involving vector bundles of conformal blocks are given, including quasi polynomiality at the level of the Chern character of the bundles on Mg.
|Original language||English (US)|
|Number of pages||44|
|Journal||Transactions of the American Mathematical Society|
|State||Published - 2019|
All Science Journal Classification (ASJC) codes
- Applied Mathematics