Search Results - "Sano, Taro"

Unobstructedness of Deformations of Weak Fano Manifolds by Sano, Taro

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Smoothing cones over K3 surfaces by Coughlan, Stephen, Sano, Taro

“…We prove that the affine cone over a general primitively polarised K3 surface of genus g is smoothable if and only if g ≤ 10 or g = 12. We also give several…”
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On K-stability of Fano weighted hypersurfaces by Sano, Taro, Tasin, Luca

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Examples of non‐Kähler Calabi–Yau manifolds with arbitrarily large b2 by Sano, Taro

“…We construct non‐Kähler Calabi–Yau manifolds of dimension ⩾4 with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties. The examples have…”
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On Hodge structures of compact complex manifolds with semistable degenerations by Sano, Taro

“…Compact K\"{a}hler manifolds satisfy several nice Hodge-theoretic properties such as the Hodge symmetry, the Hard Lefschetz property and the Hodge-Riemann…”
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Deforming elephants of Q‐Fano 3‐folds by Sano, Taro

“…We study deformations of a pair consisting of a Q‐Fano 3‐fold X with only terminal singularities and its elephant D∈|−KX|. We prove that, if there exists…”
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Construction of non-K\"ahler Calabi-Yau manifolds by log deformations by Sano, Taro

“…We survey recent construction of non-K\"ahler Calabi-Yau manifolds by smoothing SNC varieties obtained by non-trivial isomorphisms of strict Calabi-Yau…”
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Delta invariants of weighted hypersurfaces by Sano, Taro, Tasin, Luca

“…We give a lower bound for the delta invariant of the fundamental divisor of a quasi-smooth weighted hypersurface. As a consequence, we prove K-stability of a…”
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Examples of non-K\"ahler Calabi-Yau manifolds with arbitrarily large $b_2 by Sano, Taro

“…We construct non-K \"ahler Calabi-Yau manifolds of dimension $\ge$ 4 with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties. The…”
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On birational boundedness of some Calabi-Yau hypersurfaces by Sano, Taro

“…We show the birational boundedness of anti-canonical irreducible hypersurfaces which form 3-fold plt pairs. We also treat a collection of Du Val K3 surfaces…”
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On K-stability of Fano weighted hypersurfaces by Sano, Taro, Tasin, Luca

“…Let $X \subset \mathbb P(a_0,\ldots,a_n)$ be a quasi-smooth weighted Fano hypersurface of degree $d$ and index $I_X$ such that $a_i |d$ for all $i$, with $a_0…”
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Deformations of q-fano 3-folds and weak fano manifolds by Sano, Taro

“…Fano varieties are one of important classes in the classi cation of algebraic varieties. In this thesis, we mainly study problems on deformations of Fano…”
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Examples of non-K\"{a}hler Calabi-Yau 3-folds with arbitrarily large $b_2 by Hashimoto, Kenji, Sano, Taro

“…We construct non-K\"{a}hler simply connected Calabi-Yau 3-folds with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties with trivial…”
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Deformations of weak $\mathbb{Q}$-Fano 3-folds by Sano, Taro

“…We prove that a weak $\mathbb{Q}$-Fano $3$-fold with terminal singularities has unobstructed deformations. By using this result and computing some invariants…”
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Infinitely many families of Sasaki-Einstein metrics on spheres by Liu, Yuchen, Sano, Taro, Tasin, Luca

“…We show that there exist infinitely many families of Sasaki-Einstein metrics on every odd-dimensional standard sphere of dimension at least $5$. We also show…”
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Deforming elephants of Q-Fano threefolds by Sano, Taro

“…We study deformations of a pair of a $\mathbb{Q}$-Fano $3$-fold $X$ with only terminal singularities and its elephant $D \in |{-}K_X|$. We prove that, if there…”
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On deformations of Q-Fano threefolds II by Sano, Taro

“…We investigate some coboundary map associated to a $3$-dimensional terminal singularity which is important in the study of deformations of singular $3$-folds…”
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Unobstructedness of deformations of weak Fano manifolds by Sano, Taro

“…We prove that a weak Fano manifold has unobstructed deformations. For a general variety, we investigate conditions under which a variety is necessarily…”
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Smoothing cones over K3 surfaces by Coughlan, Stephen, Sano, Taro

“…\'Epijournal de G\'eom\'etrie Alg\'ebrique, volume 2, article no.15 (2018) We prove that the affine cone over a general primitively polarised K3 surface of…”
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On deformations of Q-Fano threefolds by Sano, Taro

“…We study the deformation theory of a Q-Fano 3-fold with only terminal singularities. First, we show that the Kuranishi space of a Q-Fano 3-fold is smooth…”
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