Add to ORKGWe show the simple Hurwitz space $\mathcal{H}_{g,d}$ has trivial rational Picard group for $d>g-1$ and is uniruled for $d>g+1$.Comment: 17 pages, 4 figures. Updated to the version to be publishe
We give a Hodge-theoretic proof of Hwang's theorem, which says that if the base of a Lagrangian fibr...
Consider a smooth irreducible Hodge generic curve $S$ defined over $\bar{\Q}$ in the Torelli locus $...
In this paper the authors consider the Hurwitz space $H_{g, \, d}$ that parametrizes degree $d$ simp...
We prove that the rational Picard group of the simple Hurwitz spaceHd,g is trivial for d up to five....
We consider the moduli space $\mathfrak{M}_{g,n}$ of Riemann surfaces of genus $g\ge0$ with $n\ge1$ ...
Let G be an affine reductive algebraic group over an algebraically closed field k. We determine the ...
We construct several modular compactifications of the Hurwitz space \(H^d_{g/h}\) of genus g curves ...
Let $(G,X)$ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $G_{\mathbf{Q}_p}...
For a complex connected semisimple linear algebraic group G of adjoint type and of rank n, De Concin...
Let G be a connected, simply-connected, simple affine algebraic group and Cg be a smooth irreducible...
We study the Picard rank of smooth toric Fano varieties possessing families of minimal rational curv...
Let Y be a smooth, projective curve of genus g>=1. Let H^0_{d,A}(Y)be the Hurwitz space which parame...
We determine $\pi_*(BDiff_\partial(D^{2n})) \otimes \mathbb{Q}$ for $2n \geq 6$ completely in degree...
In this paper, we showed that the Stable Picard group of $A(n)$ for $n\geq 2$ is $\mathbb{Z}\oplus \...
We study the rational Picard group of the projectivized moduli space $P\overline{{\mathfrak {M}}}_{g...
We give a Hodge-theoretic proof of Hwang's theorem, which says that if the base of a Lagrangian fibr...
Consider a smooth irreducible Hodge generic curve $S$ defined over $\bar{\Q}$ in the Torelli locus $...
In this paper the authors consider the Hurwitz space $H_{g, \, d}$ that parametrizes degree $d$ simp...
We prove that the rational Picard group of the simple Hurwitz spaceHd,g is trivial for d up to five....
We consider the moduli space $\mathfrak{M}_{g,n}$ of Riemann surfaces of genus $g\ge0$ with $n\ge1$ ...
Let G be an affine reductive algebraic group over an algebraically closed field k. We determine the ...
We construct several modular compactifications of the Hurwitz space \(H^d_{g/h}\) of genus g curves ...
Let $(G,X)$ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $G_{\mathbf{Q}_p}...
For a complex connected semisimple linear algebraic group G of adjoint type and of rank n, De Concin...
Let G be a connected, simply-connected, simple affine algebraic group and Cg be a smooth irreducible...
We study the Picard rank of smooth toric Fano varieties possessing families of minimal rational curv...
Let Y be a smooth, projective curve of genus g>=1. Let H^0_{d,A}(Y)be the Hurwitz space which parame...
We determine $\pi_*(BDiff_\partial(D^{2n})) \otimes \mathbb{Q}$ for $2n \geq 6$ completely in degree...
In this paper, we showed that the Stable Picard group of $A(n)$ for $n\geq 2$ is $\mathbb{Z}\oplus \...
We study the rational Picard group of the projectivized moduli space $P\overline{{\mathfrak {M}}}_{g...
We give a Hodge-theoretic proof of Hwang's theorem, which says that if the base of a Lagrangian fibr...
Consider a smooth irreducible Hodge generic curve $S$ defined over $\bar{\Q}$ in the Torelli locus $...
In this paper the authors consider the Hurwitz space $H_{g, \, d}$ that parametrizes degree $d$ simp...