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Yuta Suzuki

Bio: Yuta Suzuki is an academic researcher from University of Tokyo. The author has contributed to research in topics: Invariant (mathematics) & Cohomology. The author has an hindex of 1, co-authored 2 publications receiving 2 citations.

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Yuta Suzuki1
TL;DR: In this paper, the intersection formula for the Donaldson-Futaki invariant was generalized to the case of higher FIFI invariants, which are obstructions to asymptotic Chow semistability.
Abstract: Odaka and Wang proved the intersection formula for the Donaldson-Futaki invariant. In this paper, we generalize this result for the higher Futaki invariants which are obstructions to asymptotic Chow semistability.

1 citations

Journal ArticleDOI
Yuta Suzuki1
TL;DR: In this article, the intersection formula for the Donaldson-Futaki invariant was generalized to the case of higher FIFI invariants, which are obstructions to asymptotic Chow semistability.
Abstract: Odaka [16] and Wang [19] proved the intersection formula for the Donaldson-Futaki invariant. In this paper, we generalize this result for the higher Futaki invariants, which are obstructions to asymptotic Chow semistability.

1 citations


Cited by
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01 Jan 1988
TL;DR: In this paper, the character f and its generalization to extremal Kahlerian invariants are presented. But they do not discuss the generalization of these invariants to the extreme extremal case.
Abstract: Preliminaries.- Kahler-Einstein metrics and extremal Kahler metrics.- The character f and its generalization to Kahlerian invariants.- The character f as an obstruction.- The character f as a classical invariant.- Lifting f to a group character.- The character f as a moment map.- Aubin's approach and related results.

117 citations

Posted Content
TL;DR: In this article, the authors formulate a cohomology formula for the invariant of K-stability condition on Kahler metrics with constant Cahen-Gutt momentum, and show that the constant scalar curvature Kahler metric problem and the study of deformation quantization meet at the notion of trace (density) for star product.
Abstract: In the first part of this paper we outline the constructions and properties of Fedosov star product and Berezin-Toeplitz star product. In the second part we outline the basic ideas and recent developments on Yau-Tian-Donaldson conjecture on the existence of Kahler metrics of constant scalar curvature. In the third part of the paper we outline recent results of both authors, and in particular show that the constant scalar curvature Kahler metric problem and the study of deformation quantization meet at the notion of trace (density) for star product. We formulate a cohomology formula for the invariant of K-stability condition on Kahler metrics with constant Cahen-Gutt momentum.

5 citations