在這篇論文中，我們研究代數幾何中的線性反影像，並用來證明一些結果：給定兩個閉的射影曲體，當它們維度足夠大的時候，則它們的交集會是連通的，且其中一個會是單連通。

In this paper,We study the linear section in algebraic geometry and apply it to prove some results:If X and Y are closed irreducible subvarieties of projective space,and they have sufficiently large dimension, then one has X ∩ Y is connected and X is simply connected.

Introduction

0. Notation and Preliminary Facts --------------------- 1
1. Linear Sections ------------------------------------ 1
2. The Connectedness Theorem -------------------------- 3
3. Closed Subvarieties of Projective Space ------------ 5

References

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