论文标题
一阶增厚和代替者
First order thickenings and cotorsors
论文作者
论文摘要
令$ x $为一个方案，让$ \ Mathcal {m} $为$ x $上的准搭扣捆。然后，$ \ Mathcal {m} $可以被视为$ x $下方方案类别中的cogroup对象。我们表明，$ \ Mathcal {M} $的$ x $的一阶增厚类别等效于$ \ Mathcal {M} $ -CotorSors的类别。
Let $X$ be a scheme and let $\mathcal{M}$ be a quasi-coherent sheaf on $X$. Then $\mathcal{M}$ can be viewed as a cogroup object in the category of schemes under $X$. We show that the category of first order thickenings of $X$ by $\mathcal{M}$ is equivalent to the category of $\mathcal{M}$-cotorsors.
