16 citations · 64 across the 18 of their papers we have counts for
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On Algebraic Theta Divisors and Rational Solutions of the KP Equation
Daniele Agostini, Türkü Özlüm Çelik, John B. Little
In this paper we classify the singular curves whose theta divisors in their generalized Jacobians are algebraic, meaning that they are cut out by polynomial analogs of theta functi…
The Martens-Mumford Theorem and the Green-Lazarsfeld Secant Conjecture
Daniele Agostini
The Green-Lazarsfeld secant conjecture predicts that the syzygies of a curve of sufficiently high degree are controlled by its special secants. We prove this conjecture for all cur…
Likelihood Degenerations
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola +3
Computing all critical points of a monomial on a very affine variety is a fundamental task in algebraic statistics, particle physics and other fields. The number of critical points…
Numerical reconstruction of curves from their Jacobians
Daniele Agostini, Türkü Özlüm Çelik, Demir Eken
We approach the Torelli problem of recostructing a curve from its Jacobian from a computational point of view. Following Dubrovin, we design a machinery to solve this problem effec…
KP Solitons from Tropical Limits
Daniele Agostini, Claudia Fevola, Yelena Mandelshtam +1
We study solutions to the Kadomtsev-Petviashvili equation whose underlying algebraic curves undergo tropical degenerations. Riemann's theta function becomes a finite exponential su…