Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Junchao Shentu"'
Autor:
Junchao Shentu, Chen Zhao
Publikováno v:
International Mathematics Research Notices. 2023:2170-2187
In this note, we reprove MacPherson’s conjecture on $L^2-(n,q)$-cohomology through Demailly’s formulation of Hörmander’s estimate. This approach allows us to prove the MacPherson’s conjecture of twisted coefficient bundle endowed with a sing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::752bbc99d2bb2a476a844c7827ab0f60
https://doi.org/10.1093/imrn/rnab301
https://doi.org/10.1093/imrn/rnab301
Autor:
Chen Zhao, Junchao Shentu
Publikováno v:
Journal of Topology and Analysis. :1-20
The existence of Kähler Einstein metrics with mixed cone and cusp singularity has received considerable attentions in recent years. It is believed that such kind of metric would give rise to important geometric invariants. We computed their [Formula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce37efa675edadb4511b29286a6a5dd0
https://doi.org/10.1142/s1793525321500473
https://doi.org/10.1142/s1793525321500473
Autor:
Junchao Shentu, Chen Zhao
Publikováno v:
Mathematische Annalen.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed323784b02ca2d62c1f8b29ad9651c0
https://doi.org/10.1007/s00208-022-02432-6
https://doi.org/10.1007/s00208-022-02432-6
Autor:
Yongming Zhang, Junchao Shentu
Publikováno v:
Journal of Algebra. 555:52-68
In this paper, we investigate the problem of the simultaneous generation of r-jets of the bundle ω X ⊗ L ⊗ m , where L is an ample and globally generated line bundle on X. The results work in arbitrary characteristics. A similar problem is studi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6acb11ced6ddd0d9923a85dbe9591471
https://doi.org/10.1016/j.jalgebra.2020.03.004
https://doi.org/10.1016/j.jalgebra.2020.03.004
Autor:
Junchao Shentu, Mao Sheng
We study the $E_1$-degeneration of the logarithmic Hodge to de Rham spectral sequence of the special fiber of a semistable family over a discrete valuation ring. On the one hand, we prove that the $E_1$-degeneration property is invariant under admiss
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c640bb153c9e95e518466d3216081b7d
http://arxiv.org/abs/1903.09908
http://arxiv.org/abs/1903.09908
Publikováno v:
Tokyo J. Math. 41, no. 2 (2018), 371-384
For diophantine equations of the form ax^2+bxy+cy^2+g=0 over Z whose coefficients satisfy some assumptions, we show that a condition with respect to Artin reciprocity map, which we call the Artin condition, is the only obstruction to the local-global
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e922ad00357842563d727fc2da11e97
http://arxiv.org/abs/1510.04800
http://arxiv.org/abs/1510.04800
Autor:
Junchao Shentu, Dong Wang
Publikováno v:
International Journal of Mathematics. 28:1792002
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54775455717c550bf99e7bc5036a02d1
https://doi.org/10.1142/s0129167x17920021
https://doi.org/10.1142/s0129167x17920021
Autor:
Lingguang Li, Junchao Shentu
Let $X$ be a smooth projective variety over an algebraically closed field $k$ of characteristic $p>0$ of $\dim X\geq 4$ and Picard number $\rho(X)=1$. Suppose that $X$ satisfies $H^i(X,F^{m*}_X(\Omg^j_X)\otimes\Ls^{-1})=0$ for any ample line bundle $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4ca96fe710291a355d5dd8cf958eadd
http://arxiv.org/abs/1405.0106
http://arxiv.org/abs/1405.0106
Autor:
Dong Wang, Junchao Shentu
Publikováno v:
International Journal of Mathematics. 27:1650081
Let [Formula: see text] be a stack over the category of fine log schemes. If [Formula: see text] has a representable fppf covering, then, it has enough compatible minimal objects. As a consequence, we prove the equivalence between two notions of log
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a38d005d4545d559045309780fcb1e03
https://doi.org/10.1142/s0129167x16500816
https://doi.org/10.1142/s0129167x16500816