Eita Haibara

collaborators

4 papers

math.AG2025

Derived analytic geometry: Derived Kähler space and Hodge theory

Eita Haibara

We introduce higher analytic geometry, a novel framework extending Lurie's derived complex analytic spaces. This theory generalizes classical complex analytic geometry, enabling th…

math.AG2025

Some memos on Stable Symplectic Structured Space

Eita Haibara, Shelly Miyano

In these memos, we define a pregeometry $T_{S}^{a l g}$ and a geometry $G_{S}^{a l g}$ which integrate symplectic manifolds with $E_{\infty}$ -ri…

math.AG2025

Some memos on Stable Symplectic Structured Space II: Symplectic motives

Eita Haibara

These memos include the research on $G_{S}^{a l g}$ -scheme theory, the definition of symplectic motives over $G_{S}^{a l g}$ -schemes and symplecti…

math.AG2024

Relative-Hyper GAGA Theorem

Eita Haibara, Taewan Kim

In this paper, we provide a relative hypercohomology version of Serre's GAGA theorem. We prove that the relative hypercohomology of a complex of sheaves on a complex projective var…