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pro vyhledávání: '"Park, Sung Gi"'
Autor:
Park, Sung Gi, Popa, Mihnea
We prove a number of new results concerning the topology and Hodge theory of singular varieties. A common theme is that concrete conditions on the complexity of the singularities are closely related to the symmetries of the Hodge-Du Bois diamond.
Externí odkaz:
http://arxiv.org/abs/2410.15638
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
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
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
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
Publikováno v:
In Journal of Algebra 1 April 2019 523:192-200
Akademický článek
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Autor:
Gervasi, Osvaldo, Gavrilova, Marina L., Kumar, Vipin, Laganà, Antonio, Lee, Heow Pueh, Mun, Youngsong, Taniar, David, Tan, Chih Jeng Kenneth, Kim, Jong-Woo, Kim, Ju-Yeon, Hwang, Hyun-Suk, Park, Sung-Seok, Kim, Chang-Soo, Park, Sung-gi
Publikováno v:
Computational Science & Its Applications - ICCSA 2005 (9783540258612); 2005, p127-136, 10p