Maximal Subbundles of Vector Bundles on a Curve.
Modulflächen und Modulkurven zur symmetrischen Hilbertschen Modulgruppe
Moduli for stable actions of an abelian group on trees of projective lines
Moduli for stable marked trees of projective lines.
Moduli of curves via algebraic geometry.
Moduli of Parabolic G-bundles on Curves.
Moduli of plane curve singularities with C*-action
Moduli of Poncelet polygons.
Moduli of Prym curves.
Moduli of Vector Bundles on Curves with Parabolic Structures.
Moduli Spaces for Real Algebraic Curves and Real Abelian Varieties.
Moduli spaces of (semi)stable vector bundles on tree-linke curves.
Modulprobleme in der algebraischen Geometrie III
Multiple zeta values and periods of moduli spaces
We prove a conjecture due to Goncharov and Manin which states that the periods of the moduli spaces of Riemann spheres with marked points are multiple zeta values. We do this by introducing a differential algebra of multiple polylogarithms on and proving that it is closed under the operation of taking primitives. The main idea is to apply a version of Stokes’ formula iteratively to reduce each period integral to multiple zeta values. We also give a geometric interpretation of the double shuffle...