论文标题
比较复杂和热带复合物几何形状中阳性的比较
A comparison of positivity in complex and tropical toric geometry
论文作者
论文摘要
鉴于一个光滑的复杂的复杂品种，我们将在其热带化中比较真实的拉格伯格形式和电流与不变的复合形式和圆磨品种上的水流。我们的主要结果是一个对应定理，该定理识别了复杂的复合物质上不变的闭合正电流的锥体，并在热带化的上有封闭的正电流。在随后的论文中，该对应关系将用于开发贝德福德 - 泰勒对热带化功能的多元式功能理论。
Given a smooth complex toric variety we will compare real Lagerberg forms and currents on its tropicalization with invariant complex forms and currents on the toric variety. Our main result is a correspondence theorem which identifies the cone of invariant closed positive currents on the complex toric variety with closed positive currents on the tropicalization. In a subsequent paper, this correspondence will be used to develop a Bedford-Taylor theory of plurisubharmonic functions on the tropicalization.
