Výsledky vyhledávání - "Park, Sung Gi"

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Du Bois complex and extension of forms beyond rational singularities

Autor: Park, Sung Gi

We establish a characterization of the Du Bois complex of a reduced pair $(X,Z)$ when $X\smallsetminus Z$ has rational singularities. As an application, when $X$ has normal Du Bois singularities and $Z$ is the locus of non-rational singularities of $

Externí odkaz: http://arxiv.org/abs/2311.15159

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Viehweg hyperbolicity for Whitney equisingular families with Gorenstein rational singularities

Autor: Park, Sung Gi

We prove the analogue of Viehweg's hyperbolicity conjecture for Whitney equisingular families of projective varieties with Gorenstein rational singularities whose geometric generic fiber has a good minimal model. Namely, for such families with maxima

Externí odkaz: http://arxiv.org/abs/2210.03160

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Logarithmic base change theorem and smooth descent of positivity of log canonical divisor

Autor: Park, Sung Gi

We prove a logarithmic base change theorem for pushforwards of pluri-canonical bundles and use it to deduce that positivity properties of log canonical divisors descend via smooth projective morphisms. As an application, for a surjective morphism $f:

Externí odkaz: http://arxiv.org/abs/2210.02825

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Proof of the Gorenstein Interval Conjecture in low socle degree

Autor: Park, Sung Gi, Stanley, Richard P., Zanello, Fabrizio

Publikováno v: Journal of Algebra 523 (2019), 192-200

Roughly ten years ago, the following "Gorenstein Interval Conjecture" (GIC) was proposed: Whenever $(1,h_1,\dots,h_i,\dots,h_{e-i},\dots,h_{e-1},1)$ and $(1,h_1,\dots,h_i+\alpha,\dots,h_{e-i}+\alpha,\dots,h_{e-1},1)$ are both Gorenstein Hilbert funct

Externí odkaz: http://arxiv.org/abs/1804.08745

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