A Compactification of the Universal Moduli Space of Principal G-Bundles
نویسندگان
چکیده
Abstract Let G be a semisimple linear algebraic group, $$\rho :G\hookrightarrow \text {SL}(V)$$ ? : G ? SL ( V ) finite-dimensional faithful representation, $$g\ge 2$$ g ? 2 natural number, and $$\delta $$ ? positive rational number. We prove the existence of compactification universal moduli space semistable principal -bundles over $$\overline{\text {M}}_{g}$$ M ¯ , provided that is sufficiently large, having following property: fibers singular curves are spaces -semistable -bundles.
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2022
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-021-01954-8