Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Wang, Zhenjian"'
Autor:
Wang, Zhenjian
We investigate deformations of Milnor algebras of smooth homogeneous polynomials, and prove in particular that any smooth degree $d$ homogeneous polynomial in $n+1$ variables that is not of Sebastiani-Thom type is determined by the degree $k$ homogen
Externí odkaz:
http://arxiv.org/abs/1906.04891
Autor:
Wang, Zhenjian
We prove that the numerical invariant $3\mu-4\tau$ of a reduced irreducible plane curve singularity germ is non-negative, non-decreasing under blowups and strictly increasing unless the curve is non-singular. This provides a new perspective to unders
Externí odkaz:
http://arxiv.org/abs/1904.08588
Autor:
Wang, Zhenjian
Le but de cette thèse est de considérer différentes questions sur les groupes projectifs et sur les arrangements de droites dans le plan projectif. Un groupe projectif est un groupe qui est isomorphe au groupe fondamental d'une variété projectiv
Externí odkaz:
http://www.theses.fr/2017AZUR4034/document
Autor:
Wang, Zhenjian
Publikováno v:
Can. Math. Bull. 63 (2020) 358-365
We prove that a generic homogeneous polynomial of degree $d$ is determined, up to a nonzero constant multiplicative factor, by the vector space spanned by its partial derivatives of order $k$ whenever $k\leq\frac{d}{2}-1$.
Comment: 7 pages; the
Comment: 7 pages; the
Externí odkaz:
http://arxiv.org/abs/1809.02422
Autor:
Wang, Zhenjian
Publikováno v:
Can. Math. Bull. 61 (2018) 659-672
We extend the infinitesimal Torelli theorem for smooth hypersurfaces to nodal hypersurfaces.
Comment: to appear in Canadian Mathematical Bulletin
Comment: to appear in Canadian Mathematical Bulletin
Externí odkaz:
http://arxiv.org/abs/1703.03324
Autor:
Wang, Zhenjian
For a line arrangement in the complex projective plane $\mathbb{P}^2$, we investigate the compactification $\overline{F}$ of the affine Milnor fiber in $\mathbb{P}^3$ and its minimal resolution $\widetilde{F}$. We compute the Chern numbers in terms o
Externí odkaz:
http://arxiv.org/abs/1612.06730
Autor:
Wang, Zhenjian
The Jacobian ideal provides the set of infinitesimally trivial deformations for a homogeneous polynomial, or for the corresponding complex projective hypersurface. In this article, we investigate whether the associated linear deformation is indeed tr
Externí odkaz:
http://arxiv.org/abs/1505.00615
Autor:
Wang, Zhenjian
We investigate which homogeneous polynomials are determined by their Jacobian ideals, and extend and complete previous results due to J. Carlson and Ph. Griffiths, K. Ueda and M. Yoshinaga, and A. Dimca and E. Sernesi.
Comment: 14 pages, a new s
Comment: 14 pages, a new s
Externí odkaz:
http://arxiv.org/abs/1402.3810
Autor:
Wang, Zhenjian1 wzhj01@gmail.com
Publikováno v:
Mathematische Nachrichten. Nov2017, Vol. 290 Issue 16, p2696-2707. 12p.
Akademický článek
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