Yuta Takahashi

collaborators

5 papers

math.AG2026

Rank-two weak Fano bundles on a four-dimensional quadric hypersurface $Q^{4}$

Yuta Takahashi

We classify rank $2$ weak Fano bundles on a four-dimensional smooth quadric hypersurface $Q^{4}$ . Up to twisting with a line bundle, such a bundle is either a split bundle, a spinor…

math.AG2026

A linear lower bound on the Ulrich complexity of hypersurfaces

Angelo Felice Lopez, Debaditya Raychaudhury, Yuta Takahashi

We give a lower bound on the Ulrich complexity of hypersurfaces in terms of their dimension.

math.AG2026

Varieties with Ulrich exterior powers of the tangent bundle

Yuta Takahashi, Kiwamu Watanabe

We study smooth polarized projective varieties $(X, H)$ whose exterior powers of the tangent bundle are Ulrich. We prove that if $⋀^{r} T_{X}$ is $H$ -Ulrich for some $0 < r < dim X$ …

math.AG2026

Weak Fano bundles of rank $2$ over hyperquadrics $Q^{n}$ of dimension $n \geq 5$

Yuta Takahashi

A vector bundle whose projectivization becomes a weak Fano variety is called a weak Fano bundle. We present classification results for rank 2 weak Fano bundles on higher-dimensiona…

math.AG2024

Torsors in super-symmetry

Akira Masuoka, Takuya Oe, Yuta Takahashi

Torsors under affine groups are generalized in the super context by super-torsors under affine super-groups. We investigate those super-torsors by using Hopf-algebra language and t…

Rank-two weak Fano bundles on a four-dimensional quadric hypersurface Q4

A linear lower bound on the Ulrich complexity of hypersurfaces

Varieties with Ulrich exterior powers of the tangent bundle

Weak Fano bundles of rank 2 over hyperquadrics Qn of dimension n≥5

Torsors in super-symmetry

Rank-two weak Fano bundles on a four-dimensional quadric hypersurface $Q^{4}$

Weak Fano bundles of rank $2$ over hyperquadrics $Q^{n}$ of dimension $n \geq 5$