On the existence of Weierstrass points with a certain semigroup generated by 4 elements
1982; University of Tsukuba; Volume: 6; Issue: 2 Linguagem: Inglês
10.21099/tkbjm/1496159535
ISSN2423-821X
Autores Tópico(s)Polynomial and algebraic computation
ResumoJiryo KOMEDA semigroup $H$ , which is uniquely determined by H. $I_{H}$ denotes the kernel of the k-algebra homomorphism $\varphi:k[X]=k[X_{1}, \cdots , X_{n}]\rightarrow k[t]$ defined by $\varphi(X_{i})=f^{a}i$ where $k[X]$ and $k[t]$ are polynomial rings over $k$ , and $\mu(H)$ denotes the least number of generators for the ideal $I_{H}$ .When we set $C_{H}=Speck[X]/I_{H}$ , we denote by $T_{c_{H}}^{1}=\bigoplus_{l\in Z}T_{C_{H}}^{1}(l)$ the k-vector space of first order deformations of $C_{H}$ with a natural graded structure.Moreover, $g(H)$ and $C(H)$ denote the cardinal number of the set $N-H$ and the least integer $c$ with $c+N\subseteqq H$ , respectively.Then. $\ovalbox{\tt\small REJECT}_{H}$ is non-empty in the following cases:1) $H$ is a complete intersection, $i$ .$e.,$ $\mu(H)=n-1$ , 2) $H$ is a special almost complete intersection (Waldi [10]),
Referência(s)