发表机构
Università degli Studi di Bari Aldo Moro（巴里阿尔多·莫罗大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对带简单正常交叉边界且有孤立不动点的紧复流形严格自映射，证明了对数莱夫谢茨不动点公式，明确了边界点处特殊化系数的来源及共振与非共振边界项的不同表现。
AI 中文摘要
我们针对具有简单正常交叉边界且不动点孤立的紧复流形的严格自映射，证明了对数莱夫谢茨不动点公式。在边界点处，法向重标度与相对对偶性为容许不动点理想提供了典范特殊化系数。在德拉姆特殊化中，非共振边界项消失，而共振项记录了法向接触与切重数。
英文摘要
We study boundary contributions to the holomorphic Lefschetz formula for strict self-maps of compact complex manifolds with a simple normal crossings divisor. At a normally non-resonant boundary fixed point, the local term reduces to the fixed-point problem on the boundary stratum and vanishes in the de Rham specialisation. For resonant points satisfying a normal admissibility condition, finite flat rescaling and relative duality recover the local trace as the coefficient at the excess normal order of a holomorphic family of relative residue traces; in the balanced case, this coefficient is the trace of a class on the special fibre. The numerical coefficient is independent of the admissible presentation. In a coupled family, the de Rham boundary index is the product of the normal contact order and the tangential complete-intersection multiplicity. Boundary contributions to the fixed-point formula for the complement are supported on the resonant fixed points.
Comments21 pages ;Improved exposition. Comments are welcome
