C[[h]]上椭圆对的正则性
Regularity for elliptic pairs over C[[h]]
摘要:
本文将Schapira和Schneiders关于椭圆对的相对正则性和有限性的结果推广到$\shd[[\hbar]]$ -模和$\C[[\h]]$ -模的$\R$ -可构造层的框架中.我们还构造了一个相对对偶态射的椭圆对光滑的情况下,我们证明了它是一个同构,如果椭圆对满足有限性准则。
英文摘要:
We extend the results of Schapira and Schneiders on relative regularity and finiteness of elliptic pairs to the framework of $\shd[[\hbar]]$-modules and $\R$-constructible sheaves of $\C[[\h]]$-modules. We also construct a relative duality morphism for elliptic pairs in the smooth case and we prove that it is an isomorphism if the elliptic pair satisfies the finiteness criteria.
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。