论文标题
热带克莱门斯·施法序列和具有给定的共同体类的热带循环的存在
Tropical Clemens-Schmid sequence and existence of tropical cycles with a given cohomology class
论文作者
论文摘要
这是我们在热带霍奇理论中工作的续集。我们的目的是证明在渐近霍奇理论中的克莱门斯 - 施法精确序列的热带类似物。作为此结果的应用，我们证明了热带猪头的猜想，用于平滑的投射热带品种，这些品种合理地三角形。这为Kontsevich的问题提供了部分答案，Kontsevich提出了热带Hodge猜想的有效性，可以用作测试Hodge猜想的有效性。
This is a sequel to our work in tropical Hodge theory. Our aim here is to prove a tropical analogue of the Clemens-Schmid exact sequence in asymptotic Hodge theory. As an application of this result, we prove the tropical Hodge conjecture for smooth projective tropical varieties which are rationally triangulable. This provides a partial answer to a question of Kontsevich who suggested the validity of the tropical Hodge conjecture could be used as a test for the validity of the Hodge conjecture.
