The equivariant orbifold birational classification of toroidal compactifications of tori and semiabelian schemes reduces to finding minimal compactifications in logarithmic geometry, solved combinatorially for algebraic tori, nodal curve Jacobians, and abelian-generic semiabelian schemes.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Generalizes positivity theorems of Popa-Wu and Popa-Schnell for Hodge modules and Higgs bundles to smooth proper DM stacks admitting projective coarse moduli spaces.
citing papers explorer
-
Birational Classification of Orbifold Compactified Jacobians
The equivariant orbifold birational classification of toroidal compactifications of tori and semiabelian schemes reduces to finding minimal compactifications in logarithmic geometry, solved combinatorially for algebraic tori, nodal curve Jacobians, and abelian-generic semiabelian schemes.
-
Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks
Generalizes positivity theorems of Popa-Wu and Popa-Schnell for Hodge modules and Higgs bundles to smooth proper DM stacks admitting projective coarse moduli spaces.