Jiayuan Lin

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20002005

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math.AG2005

A Compactification of the Space of Holomorphic Maps from $¶^{1}$ into $¶^{r}$

Jiayuan Lin

Let $M_{d} (¶^{r})$ be the space of $(r + 1)$ -tuples $(f_{0}, ..., f_{r})$ modulo homothety, where $f_{0}, ..., f_{r}$ are homogeneous polynomials of degree $d$ in two variables. Let $M_{d}^{\circ}…

math.AG2002

Rational homotopy stability for the spaces of rational maps

Jiayuan Lin

Let $\Hol_{x_0}^{\bf n} (\C¶^1, X)$ be the space of based holomorphic maps of degree $n$ from $\C¶^1$ into a simply connected algebraic variety $X$ . Under some condition we p…

math.AG2000

Birational Unboundedness of $Q$ -Fano threefolds

Jiayuan Lin

In this paper, we prove that the family of $Q$ -Fano threefolds with Picard number one is birationally unbounded.

A Compactification of the Space of Holomorphic Maps from ¶1 into ¶r

Rational homotopy stability for the spaces of rational maps

Birational Unboundedness of Q-Fano threefolds

A Compactification of the Space of Holomorphic Maps from $¶^{1}$ into $¶^{r}$

Birational Unboundedness of $Q$ -Fano threefolds