Search

In this work, we give an algebro-geometric proof of Hrushovski’s generalization of the Lang-Weil estimates on the number of points in the intersection of a correspondence with the graph of the Frobenius map. This result has numerous applications to various areas of mathematics, including model theory, algebraic dynamics, group theory and arithmetic algebraic geometry. [ABSTRACT FROM AUTHOR]

In the present paper, we give a first general construction of compactified moduli spaces for semistable G-bundles on an irreducible complex projective curve X with exactly one node, where G is a semisimple linear algebraic group over the complex numbers. [ABSTRACT FROM AUTHOR]