2021-11-27T08:22:05Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000400422021-03-02T02:38:42ZSemistability Criterion for Parabolic Vector Bundles on CurvesBiswas, Indranil92490Dhillon, Ajneet92491415Parabolic bundleroot stacksemistabilitycohomologyWe give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says that a parabolic vector bundle E* with rational parabolic weights is semistable if and only if there is another parabolic vector bundle F* with rational parabolic weights such that the cohomologies of the vector bundle underlying the parabolic tensor product E* ⊗ F* vanish. This criterion generalizes the known semistability criterion of Faltings for vector bundles on curves and significantly improves the result in [Bis07].departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2011-12-09application/pdfJournal of mathematical sciences, the University of Tokyo218181191AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40042/files/jms180203.pdfeng