论文标题
在阳性特征中，在siegel品种上自动形态矢量束的连贯的共同体的消失结果
Vanishing results for the coherent cohomology of automorphic vector bundles over the Siegel variety in positive characteristic
论文作者
论文摘要
我们证明了Siegel品种的良好还原模量$ P $具有系数在某些汽车束中的连贯的共同体的消失结果。我们表明，对于一个在反占主导地位的Weyl室墙壁附近，重量最高$λ$的汽车捆绑包，有一个整数$ e \ geq 0 $，因此共同体以$ [0，e] $的程度集中。使用我们的方法的可访问权重不一定是规则的，不一定是$ p $ -small。由于我们的方法是技术性的，因此我们还提供了一种用SAGE编写的算法，可以明确计算消失的结果。
We prove vanishing results for the coherent cohomology of the good reduction modulo $p$ of the Siegel variety with coefficients in some automorphic bundles. We show that for an automorphic bundle with highest weight $λ$ near the walls of the anti-dominant Weyl chamber, there is an integer $e \geq 0$ such that the cohomology is concentrated in degrees $[0, e]$. The accessible weights with our method are not necessarily regular and not necessarily $p$-small. Since our method is technical, we also provide an algorithm written in Sage that computes explicitly the vanishing results.
