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Your search keyword '"Ouchi, Genki"' showing total 3 results
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3 results on '"Ouchi, Genki"'

1. On entropy of spherical twists

Author

Ouchi, Genki

Subjects
Mathematics - Algebraic Geometry, Mathematics - Dynamical Systems, 14F05
Abstract

In this paper, we compute categorical entropy of spherical twists. In particular, we prove that Gromov-Yomdin type conjecture holds for spherical twists. Moreover, we construct counterexamples of Gromov-Yomdin type conjecture for K3 surfaces modifying Fan's construction for even higher dimensional Calabi-Yau manifolds. The appendix, by Arend Bayer, shows non-emptyness of complements of a number of spherical objects in the derived categories of K3 surfaces., Comment: 11 pages, With an appendix by Arend Bayer. v2: Counterexamples of Gromov-Yomdin type conjecture for K3 surfaces are improved and the appendix by A. Bayer is added

Published
2017

2. Automorphisms of positive entropy on some hyperKähler manifolds via derived automorphisms of K3 surfaces.

Author

Ouchi, Genki

Subjects
*AUTOMORPHISMS, *ISOMORPHISM (Mathematics), *PICARD number, *NORMAL varieties (Algebraic geometry), *MANIFOLDS (Mathematics), *TOPOLOGICAL entropy, *GEOMETRIC surfaces
Abstract

We construct examples of hyperKähler manifolds of Picard number two with automorphisms of positive entropy via derived automorphisms of K3 surfaces of Picard number one. Our hyperKähler manifolds are constructed as moduli spaces of Bridgeland stable objects in derived categories of K3 surfaces. Then automorphisms of positive entropy are induced by derived automorphisms of positive entropy on K3 surfaces. [ABSTRACT FROM AUTHOR]

Published
2018
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3. Lagrangian embeddings of cubic fourfolds containing a plane.

Author

Ouchi, Genki

Subjects
*FOLDS (Geology), *EMBEDDINGS (Mathematics), *LAGRANGIAN functions, *SUBMANIFOLDS, *STABILITY (Mechanics)
Abstract

We prove that a very general smooth cubic fourfold containing a plane can be embedded into an irreducible holomorphic symplectic eightfold as a Lagrangian submanifold. We construct the desired irreducible holomorphic symplectic eightfold as a moduli space of Bridgeland stable objects in the derived category of the twisted K3 surface corresponding to the cubic fourfold containing a plane. [ABSTRACT FROM PUBLISHER]

Published
2017
Full Text
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