On Landau--Ginzburg models for Fano varieties

We prove the Ax-Schanuel property of the derivatives of mixed period mappings. We also prove the jet space reformulation of this result. The proofs use the Ax-Schanuel result for principal bundles with flat connections obtained by Blázquez-Sanz, Casale, Freitag, and Nagloo.

math.AG↗

arXiv2026

Geometrical Proof of Generalized Mirror Transformation for Multi-Point Virtual Strucutre Constants of Projective Hypersurfaces

In this paper, we propose a geometric proof of the generalized mirror transformation for multi-point virtual structure constants of degree k hypersurfaces in CP^{N-1}.

math.AG↗

arXiv2026

On The Motivic Leray-Hirsch Theorem For Pure Tate Fibre Bundles

We prove a Leray-Hirsch theorem for a smooth proper morphism over a smooth integral base whose generic fibre has a pure Tate motive. We further explore and highlight some key applications of this theorem.

math.AG↗