Logarithmic Hochschild homology is functorial for strong log Fourier-Mukai transforms on smooth proper log pairs, yielding a dg bicategory of logarithmic correspondences with compatible Chern characters and Euler pairings.
Forum Math
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
fields
math.AG 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Logarithmic Hilbert schemes of points on smooth pointed curves are iterated weighted blow-ups of symmetric products, from which their integral Chow rings are computed using recent formulas for weighted blow-ups.
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.
Constructs moduli stacks ΓM_{g,n}^{ex,m} and M_{g,n}^{ex,m} over F_p parametrizing curves with exact meromorphic differentials of fixed divisor type and proves they are smooth with computed dimensions via a local-global deformation principle.
citing papers explorer
-
Functoriality of logarithmic Hochschild homology of log smooth pairs
Logarithmic Hochschild homology is functorial for strong log Fourier-Mukai transforms on smooth proper log pairs, yielding a dg bicategory of logarithmic correspondences with compatible Chern characters and Euler pairings.
-
Logarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow rings
Logarithmic Hilbert schemes of points on smooth pointed curves are iterated weighted blow-ups of symmetric products, from which their integral Chow rings are computed using recent formulas for weighted blow-ups.
-
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.
-
The Moduli Space of Twisted Exact Differential Forms on Curves in Positive Characteristic
Constructs moduli stacks ΓM_{g,n}^{ex,m} and M_{g,n}^{ex,m} over F_p parametrizing curves with exact meromorphic differentials of fixed divisor type and proves they are smooth with computed dimensions via a local-global deformation principle.