论文标题
Guido Castelnuovo的两个字母
Two letters by Guido Castelnuovo
论文作者
论文摘要
在这份说明性论文中，我们将吉多·卡斯特尔努沃（Guido Castelnuovo）的两封信转录给了弗朗切斯科·塞维利（Francesco Severi），另一封信给贝尼亚尼诺·塞格尔（Beniamino Segre），并解释了两者的内容，这基本上是集中于寻求代数证明分析性和算法不规则性与算术的封闭性和普通1型在复杂的表面上的平等性之间的平等证明。这种代数证明仅在1980年代由Deligne和Illusie发现。
In this expository paper we transcribe two letters by Guido Castelnuovo, one to Francesco Severi, the other to Beniamino Segre, and explain the contents of both, which basically focus on the quest for an algebraic proof of the equality between the analytic and the arithmetic irregularity and of the closedness of regular 1-forms on a complex, projective, algebraic surface. Such an algebraic proof has been found only in the 1980's by Deligne and Illusie.
