Yuta Takahashi

activity

20172026

most citedHopf-algebraic techniques applied to super Lie groups over a complete field

6 citations · 10 across the 9 of their papers we have counts for

collaborators

10 papers

math.RT2026

An irreducible decomposition of the Weil representation restricted to open compact subgroups

Yuta Takahashi

For a $p$ -adic field of any residual characteristic, we determine irreducible decompositions of the Weil representation restricted to the maximal open compact subgroups and the Iwa…

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.AG2025

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★ 1 cited

Quotients in super-symmetry: formal supergroup case

Yuta Takahashi, Akira Masuoka

We describe the structure of the quotient $G / H$ of a formal supergroup $G$ by its formal sub-supergroup $H$ . This is a consequence which…

math.AG2022

Fano $4$ -folds with nef tangent bundle in positive characteristic

Yuta Takahashi, Kiwamu Watanabe

In characteristic $0$ , the Campana-Peternell conjecture claims that the only smooth Fano variety with nef tangent bundle should be homogeneous. In this paper, we study the positive…

math.AG2021

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…

math.AG2018★ 3 cited

Geometric construction of quotients $G / H$ in supersymmetry

Akira Masuoka, Yuta Takahashi

It was proved by the first-named author and Zubkov [13] that given an affine algebraic supergroup $G$ and a closed sub-supergroup $H$ over an arbitrary field of c…

math.AG2017★ 6 cited

Hopf-algebraic techniques applied to super Lie groups over a complete field

Mitsukazu Hoshi, Akira Masuoka, Yuta Takahashi

We show basic results on super-manifolds and super Lie groups over a complete field of characteristic $\neq = 2$ , extensively using Hopf-algebraic techniques. The main results are two…

An irreducible decomposition of the Weil representation restricted to open compact subgroups

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

Quotients in super-symmetry: formal supergroup case

Fano 4-folds with nef tangent bundle in positive characteristic

Torsors in super-symmetry

Geometric construction of quotients G/H in supersymmetry

Hopf-algebraic techniques applied to super Lie groups over a complete field

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 $n \geq 5$

Fano $4$ -folds with nef tangent bundle in positive characteristic

Geometric construction of quotients $G / H$ in supersymmetry