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math.AG2026
The Hitchin morphism for K-trivial varieties
Aryaman Patel, Dario Weissmann
We study the Hitchin morphism for higher dimensional varieties and show that, for a certain class of varieties which we call r-small, the set-theoretic image of the Hitchin morphis…
math.AG2026
Stratifying moduli spaces of Higgs bundles and the Hitchin morphism
Aryaman Patel, Dario Weissmann
We study the behavior of slope-stability of reflexive twisted sheaves over a normal projective variety under pullback along a cover. Slope-stability is always preserved if the…
math.AG2026
Saturation of algebraic surfaces
Agnieszka Bodzenta, Tomasz Pełka, Dario Weißmann
The saturation of an algebraic surface is the maximal open embedding with complement of dimension zero. For schemes, it was introduced by the first named author and A. Bondal who a…