关于Harder-Narasimhan滤子及其与张量积的相容性
On Harder-Narasimhan filtrations and their compatibility with tensor products
摘要:
我们重视建筑物的模格,并使用它们来开发一个度量的方法来Harder-Narasimhan过滤。切换回一个范畴的框架,我们建立了一个抽象的数值准则,这些过滤与张量积的兼容性。最后,我们在三个案例中验证了我们的准则,其中之一是新的。
英文摘要:
We attach buildings to modular lattices and use them to develop a metric approach to Harder-Narasimhan filtrations. Switching back to a categorical framework, we establish an abstract numerical criterion for the compatibility of these filtrations with tensor products. We finally verify our criterion in three cases, one of which is new.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。