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math.AG2026
A Quadratically Enriched Pushforward for Deligne--Mumford Stacks
Candace Bethea, Kirsten Wickelgren
We define a quadratically enriched pushforward for proper morphisms between smooth, proper Deligne--Mumford stacks over an arbitrary field using Grothendieck--Serre duality. We app…
math.AG2026
Local multiplicities for an equivariantly enriched non-transverse Bézout's theorem
Candace Bethea, Charanya Ravi
We introduce the degree and local degree in equivariant motivic homotopy theory for the purpose of studying equivariant enumerative problems over general fields. Given a finite, ta…