Arithmetic aspects of moduli of sheaves on curves - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We describe recent work on the arithmetic properties of moduli spaces ofstable vector bundles and stable parabolic bundles on a curve over a globalfield. In particular, we describe a connection between the period-index problemfor Brauer classes over the function field of the curve and the Hasse principlefor rational points on etale forms of such moduli spaces, refining classicalresults of Artin and Tate. Submitted to proceedings of a Clay workshop onvector bundles on curves in honor of Newstead.



Author: Max Lieblich

Source: https://arxiv.org/







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