Establishes an upper bound on ε(A,θ)/deg(C) via Gauss-Wahl map surjectivity properties, yielding a sharp Castelnuovo-type inequality for hyperelliptic curves on abelian varieties with equality cases characterized.
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11 Pith papers cite this work. Polarity classification is still indexing.
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The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
Frobenius identities for the volume map on Cohen-Macaulay rings give sufficient conditions for anisotropy and Hard Lefschetz in Gorenstein quotients and deduce the g-theorem for simplicial spheres plus the Ohsugi-Hibi conjecture.
The authors prove semicontinuity of extended local positivity invariants by associating b-divisors to Berkovich seminorms and introducing b-divisorial valuations.
Classifies irreducible components of Kontsevich moduli spaces for genus one stable maps on degree 4 and 5 del Pezzo threefolds and verifies Geometric Manin's conjecture.
Develops a method for plus-pure thresholds and classifies BCM-regular diagonal hypersurfaces in mixed characteristic (0,2) via necessary/sufficient conditions and lower bounds.
α(X,Δ,L) and δ(X,Δ,L) are computed by quasi-monomial valuations for projective klt pairs over algebraically closed fields of char 0, without uncountability assumptions.
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.
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.
Classifies Amitsur groups of smooth primitive Fano threefolds with finite group actions and of toric Fano threefolds.
citing papers explorer
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Seshadri constants and hyperelliptic curves on abelian varieties
Establishes an upper bound on ε(A,θ)/deg(C) via Gauss-Wahl map surjectivity properties, yielding a sharp Castelnuovo-type inequality for hyperelliptic curves on abelian varieties with equality cases characterized.
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An explicit formula for the Artin invariant of smooth K3 hypersurfaces
The Artin invariant of a smooth K3 hypersurface is characterized in terms of quasi-F-splitting, yielding an explicit formula.
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Frobenius identities for the volume map on Cohen--Macaulay rings
Frobenius identities for the volume map on Cohen-Macaulay rings give sufficient conditions for anisotropy and Hard Lefschetz in Gorenstein quotients and deduce the g-theorem for simplicial spheres plus the Ohsugi-Hibi conjecture.
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b-divisorial valuations and Berkovich positivity functions
The authors prove semicontinuity of extended local positivity invariants by associating b-divisors to Berkovich seminorms and introducing b-divisorial valuations.
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Moduli space of genus one curves on quartic and quintic del Pezzo threefolds
Classifies irreducible components of Kontsevich moduli spaces for genus one stable maps on degree 4 and 5 del Pezzo threefolds and verifies Geometric Manin's conjecture.
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BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
Develops a method for plus-pure thresholds and classifies BCM-regular diagonal hypersurfaces in mixed characteristic (0,2) via necessary/sufficient conditions and lower bounds.
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On the quasi-monomiality of the $\alpha$- and $\delta$-invariants
α(X,Δ,L) and δ(X,Δ,L) are computed by quasi-monomial valuations for projective klt pairs over algebraically closed fields of char 0, without uncountability assumptions.
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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.
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Higher singularities for hypersurfaces
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.
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Amitsur groups of primitive Fano threefolds
Classifies Amitsur groups of smooth primitive Fano threefolds with finite group actions and of toric Fano threefolds.
- Picard bundles and the degree of irrationality of Jacobians and Pryms