2 citations · 4 across the 13 of their papers we have counts for
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Brill-Noether existence with secants
Alessio Cela, Carl Lian
We completely characterize when a general curve of genus admits a non-degenerate degree map to projective space , that is -secant along a linear space $\ma…
Tropical and algebraic elliptic plane curves with fixed j-invariant
Alessio Cela, Sae Koyama
We tropically enumerate planar well-spaced elliptic curves with a fixed -invariant. Combined with the recent genus 1 correspondence theorem of Cela--Koyama, this yields an alter…
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…