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math.AG2025
Bidifferentials, Lagrangian projections and the Virasoro extension
Eduard Looijenga
Let be a smooth projective curve over an algebraically closed field of characteristic zero. We prove that a Lagrangian supplement of in the de Rham cohomology…
math.GT2025
The configuration functor of a punctured space
Eduard Looijenga, Andreas Stavrou
Let be a space whose one point compactification is a CW-complex for which the added point is the only -cell. We observe that the configuration space of…
math.AG2025
Hodge decomposition of L_2-cohomology and intersection cohomology of a Shimura variety
Eduard Looijenga
Classical Hodge theory endows the square integrable cohomology of a Shimura variety X with values in a locally homogeneous polarized variation of Hodge structure E with a natural H…