4 papers · 1 filter
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…
Welschinger--Witt invariants
Erwan Brugallé, Johannes Rau, Kirsten Wickelgren
Welschinger invariants are signed counts of real rational curves satisfying contraints. Quadratic Gromov--Witten invariants give such counts over general fields of characteristic d…
A quadratic Abramovich-Bertram formula
Erwan Brugallé, Kirsten Wickelgren
Quadratic Gromov--Witten invariants allow one to obtain an arithmetically meaningful count of curves satisfying constraints over a field without assuming that is the field…
Compactly supported -Euler characteristic and the Hochschild complex
Niny Arcila-Maya, Candace Bethea, Morgan Opie +2
We show the -Euler characteristic of a smooth, projective scheme over a characteristic field is represented by its Hochschild complex together with a canonical…