Yuta Watanabe

activity

20172026

most citedDual Nakano positivity and singular Nakano positivity of direct image sheaves

2 citations · 4 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.CV2026

Steenbrink vanishing theorem for big line bundles

Yuta Watanabe

In this paper, we generalize the Steenbrink vanishing theorem for ample line bundles on complex projective varieties by extending it to big line bundles on compact complex spaces w…

math.CO2026

Bivariate Affine $q$ -Krawtchouk Polynomials and Association Schemes over Galois Rings

Yuta Watanabe

We introduce regularized bivariate affine $q$ -Krawtchouk polynomials and show that they give the first eigenmatrix of a translation association scheme on $\operatorname{Mat}_{d\tim…

math.CV2026

Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces

Yuta Watanabe

In this paper, in order to develop a more general $L^{2}$ -theory for the $\partial$ -operator on complex spaces, we introduce appropriate notions of singular Griffiths/Naka…

Steenbrink vanishing theorem for big line bundles

Bivariate Affine q-Krawtchouk Polynomials and Association Schemes over Galois Rings

Griffiths and Nakano positivity and Nakano-Nadel vanishing theorems for singular Hermitian metrics on complex spaces

Bivariate Affine $q$ -Krawtchouk Polynomials and Association Schemes over Galois Rings