Tautological rings of Hilbert modular varieties
Simon Cooper
TL;DR
This paper computes the tautological ring of a Hilbert modular variety at an unramified prime, extending methods from the Siegel case to a broader class of modular varieties.
Contribution
It generalizes van der Geer's approach to compute tautological rings from Siegel to Hilbert modular varieties at unramified primes.
Findings
Explicit computation of tautological rings for Hilbert modular varieties.
Extension of existing methods from Siegel to Hilbert cases.
Provides a framework for future calculations at unramified primes.
Abstract
We compute the tautological ring for a Hilbert modular variety at an unramified prime. The method generalises that of van der Geer from the Siegel case.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications