8 papers
Emergence of moiré magnetic chaos in twisted bilayer CrI3
Gyuyoung Park, OukJae Lee, Kyoung-Min Kim
The study of magnetic chaos has traditionally focused on macroscopic variables under external driving. Here we demonstrate a new type of magnetic chaos, termed moiré magnetic chaos…
Genus one correspondence between tropical and algebraic curves
Alessio Cela, Sae Koyama
We show that the genuinely enumerative count of algebraic elliptic curves in any toric variety agrees with the count of the corresponding well-spaced tropical curves, weighted by e…
Interpolation for rational curves with secants
Alessio Cela, Carl Lian
In arbitrary characteristic, we determine the maximum number of general points through which a rational curve of degree in passes, subject to an additional secan…
Complete quasimaps to
Alessio Cela, Carl Lian
We introduce a moduli space of ``complete quasimaps'' to . The construction, following previous work for curves on projective spaces, esse…
Fixed-domain curve counts for blow-ups of projective space
Alessio Cela, Carl Lian
We study the problem of counting pointed curves of fixed complex structure in blow-ups of projective space at general points. The geometric and virtual (Gromov-Witten) counts are f…
A Brill-Noether Theorem for (toric) surfaces
Alessio Cela, Carl Lian
The classical Brill-Noether theorem states that a map from a general curve to a projective space deforms in a family of expected dimension as long as its image does not lie in any…