Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Yamanoi, Katsutoshi"'
Autor:
Deng, Ya, Yamanoi, Katsutoshi
Given a complex quasi-projective normal variety $X$ and a linear representation $\varrho:\pi_1(X)\to {\rm GL}_{N}(K)$ with $K$ any field of positive characteristic, we mainly establish the following results: 1. the construction of the Shafarevich mor
Externí odkaz:
http://arxiv.org/abs/2403.16199
In this paper, we prove the holomorphic convexity of the covering of a complex projective {normal} variety $X$, which corresponds to the intersection of kernels of reductive representations $\rho:\pi_1(X)\to {\rm GL}_{N}(\mathbb{C})$, therefore answe
Externí odkaz:
http://arxiv.org/abs/2306.03070
Autor:
Yamanoi, Katsutoshi
We generalize a fundamental theorem in higher dimensional value distribution theory about entire curves in subvarieties $X$ of semi-abelian varieties to the situation of the sequences of holomorphic maps from the unit disc into $X$. This generalizati
Externí odkaz:
http://arxiv.org/abs/2304.05715
This paper investigates the relationship between the hyperbolicity of complex quasi-projective varieties $X$ and the (topological) fundamental group $\pi_1(X)$ in the presence of a linear representation $\varrho: \pi_1(X) \to {\rm GL}_N(\mathbb{C})$.
Externí odkaz:
http://arxiv.org/abs/2212.12225
Autor:
Okuyama, Yûsuke, Yamanoi, Katsutoshi
Publikováno v:
Kodai Math. J., 37, No. 2 (2014), 506-517
We settle a question posed by Umehara and Yamada, which generalizes a completeness lemma useful in differential geometry.
Comment: 10 pages, to appear in Kodai Mathematical Journal
Comment: 10 pages, to appear in Kodai Mathematical Journal
Externí odkaz:
http://arxiv.org/abs/1402.0938
Autor:
Yamanoi, Katsutoshi
Kyoto University (京都大学)
0048
甲第8125号
理博第2147号
新制||理||1144(附属図書館)
UT51-2000-F29
学位規則第4条第1項該当
0048
甲第8125号
理博第2147号
新制||理||1144(附属図書館)
UT51-2000-F29
学位規則第4条第1項該当
Externí odkaz:
http://hdl.handle.net/2433/181095
Applying the Second Main Theorem we deal with the algebraic degeneracy of entire holomorphic curves from the complex plane into a complex algebraic normal variety of positive log Kodaira dimension that admits a finite proper morphism to a semi-abelia
Externí odkaz:
http://arxiv.org/abs/math/0507122
We establish the second main theorem with the best truncation level one for an entire holomorphic curve $f:\C \to A$ into a semi-abelian variety $A$ and an arbitrary effective reduced divisor $D$ on $A$; the low truncation level is important for appl
Externí odkaz:
http://arxiv.org/abs/math/0405492
Let f:C -> A be an entire holomorphic curve into a semi-Abelian variety A. Then the Zariski closure of f(C) is a translate of a semi-Abelian subvariety of A (logarithmic Bloch-Ochiai's theorem). The purpose of the present paper is to establish a quan
Externí odkaz:
http://arxiv.org/abs/math/9912086
Autor:
YAMANOI, KATSUTOSHI
Publikováno v:
数理解析研究所講究録. 2211:45-50