论文标题
过度椭圆形和超对称尖的认证veveri尺寸
Certified Severi dimensions for hyperelliptic and supersymmetric cusps
论文作者
论文摘要
在上一篇论文中，前三位作者对{\ it centerized severi varivity} $ m^n_ {d，g; {\ rm s}，{\ bf k}} $的度 - $ d $ holomorphic maps $ \ mathbb {p}^1 \ rightArrow \ rightarrow \ rightArrow \ mathbb {p}^n $，其图像的singularities singulitions singletoncps singleton cusps singleton cusps at sing singmigroups $ semigroups $ {\ rm s} $ s $ s $ ramifize $ profiles。在本文中，我们证明了对通用概要文件的调整形式符合$ {\ bf k} $与两种杰出（无限）类别的半群类别相关联的$ {\ rm s} $。
In a previous paper, the first three authors formulated a precise conjecture about the dimension of the {\it generalized Severi variety} $M^n_{d,g; {\rm S}, {\bf k}}$ of degree-$d$ holomorphic maps $\mathbb{P}^1 \rightarrow \mathbb{P}^n$ whose images' singularities are singleton cusps with value semigroups ${\rm S}$ and ramification profiles ${\bf k}$. In this paper, we prove that an adjusted form of the conjecture holds for generic profiles ${\bf k}$ associated with two distinguished (infinite) classes of semigroups ${\rm S}$.
