Hyperbolic localization via shrinking subbundles

2016/02/15 by Ike, Yuichi
#14C17 #14C40 #32C38 #35A27 #37C25 #55N33 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.04651

Abstract

We study the Lefschetz fixed point formula for constructible sheaves with higher-dimensional fixed point sets. We give another proof to the explicit description of Lefschetz cycles in our previous paper. For this purpose, we introduce a new notion of shrinking subbundles and describe Lefschetz cycles by using hyperbolic localization with respect to shrinking subbundles.

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