Geometric features of Deligne-Mumford curves including hyperbolicity, affineness and inertia data can be detected from 3-step solvable quotients of their profinite fundamental groups, yielding partial anabelian reconstruction results for the curves and their rigidifications.
A class of weighted projective curves arising in represen- tation theory of finite-dimensional algebras
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Anabelian geometry for Deligne-Mumford curves
Geometric features of Deligne-Mumford curves including hyperbolicity, affineness and inertia data can be detected from 3-step solvable quotients of their profinite fundamental groups, yielding partial anabelian reconstruction results for the curves and their rigidifications.