Jakob Hultgren

activity

20242026

collaborators

3 papers

math.AG2026

Valuatively independent bases for the Fermat family of cubic curves

Jakob Hultgren, Sohaib Khalid

Let $I ¨ : (X, L) \to D^{*}$ be the Fermat family of cubic curves in $P^{2}$ . For each $k \geq 1$ , we construct a valuatively independent basis for $H^{0} (X, L^{k})$ . The…

math.AP2025

Regularity of the solution to a real Monge--AmpÃ¨re equation on the boundary of a simplex

Rolf Andreasson, Jakob Hultgren, Mattias Jonsson +2

Motivated by conjectures in Mirror Symmetry, we continue the study of the real Monge--AmpÃ¨re operator on the boundary of a simplex. This can be formulated in terms of optimal tran…

math.DG2024

SYZ and optimal transport stability of Weyl polytopes

Thibaut Delcroix, Jakob Hultgren

We prove optimal transport stability (in the sense of Andreasson and the second author) for reflexive Weyl polytopes: reflexive polytopes which are convex hulls of an orbit of a We…