3 papers
nlin.SI2025
Genus zero Whitham hierarchy via Hurwitz--Frobenius manifolds
Alexey Basalaev
B. Dubrovin introduced the structure of a Dubrovin--Frobenius manifold on a space of ramified coverings of a sphere by a genus Riemann surface with the prescribed ramification…
math.AG2025
Mirror partner for a Klein quartic polynomial
Alexey Basalaev
The results of A.Chiodo, Y.Ruan and M.Krawitz associate the mirror partner Calabi-Yau variety to a Landau--Ginzburg orbifold if is an invertible polynomial satisfyi…
nlin.SI2024
On B type family of Dubrovin-Frobenius manifolds and their integrable systems
Alexey Basalaev
According to D.Zuo and an unpulished work of M.Bertola, there is a two--index series of Dubrovin--Frobenius manifold structures associated to a B type Coxeter group. We study the r…