Yoichi Miyaoka

Q: What Schools Are Affiliated With Yoichi Miyaoka

Yoichi Miyaoka is affiliated with the following schools: Kyoto University, Chuo University, Hokkaido University, University of Tokyo, Rikkyo University

Yoichi Miyaoka's AcademicInfluence.com Rankings

Yoichi Miyaoka

Mathematics

#1037

World Rank

#1772

Historical Rank

Algebraic Geometry

#32

World Rank

#33

Historical Rank

Geometry

#32

World Rank

#62

Historical Rank

Number Theory

#337

World Rank

#418

Historical Rank

mathematics Degrees

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Mathematics

Yoichi Miyaoka's Degrees

PhD Mathematics Kyoto University

Why Is Yoichi Miyaoka Influential?

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According to Wikipedia, Yoichi Miyaoka is a mathematician who works in algebraic geometry and who proved the Bogomolov–Miyaoka–Yau inequality in an Inventiones Mathematicae paper. In 1984, Miyaoka extended the Bogomolov–Miyaoka–Yau inequality to surfaces with quotient singularities, and in 2008 to orbifold surfaces. Doing so, he obtains sharp bound on the number of quotient singularities on surfaces of general type. Moreover, the inequality for orbifold surfaces gives explicit values for the coefficients of the so-called Lang-Vojta conjecture relating the degree of a curve on a surface with its geometric genus.

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Yoichi Miyaoka's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Rational Curves on Algebraic Varieties (1995) (1005)
Rational connectedness and bound-edness of Fano manifolds (1992) (449)
The Chern Classes and Kodaira Dimension of a Minimal Variety (1987) (437)
The maximal number of quotient singularities on surfaces with given numerical invariants (1984) (275)
On the Chern numbers of surfaces of general type (1977) (223)
A numerical criterion for uniruledness (1986) (206)
Characterizations of Projective Space and Applications to Complex Symplectic Manifolds (2002) (141)
On the Kodaira dimension of minimal threefolds (1988) (104)
Geometry of Higher Dimensional Algebraic Varieties (2004) (103)
Boundedness of canonical Q-Fano 3-folds (2000) (96)
Deformations of a morphism along a foliation and applications (1987) (90)
Tricanonical maps of numerical Godeaux surfaces (1976) (70)
Rational curves on Fano varieties (1992) (61)
Kähler metrics on elliptic surfaces (1974) (59)
Abundance conjecture for 3-folds : case $\nu = 1$ (1988) (42)
Extension theorems for Kähler metrics (1974) (33)
The Orbibundle Miyaoka-Yau-Sakai Inequality and an Effective Bogomolov-McQuillan Theorem Dedicated to Professor Heisuke Hironaka on his 77th Birthday (2008) (33)
Bounding curves in algebraic surfaces by genus and Chern numbers (1995) (33)
Relative Deformations of Morphisms and Applications to Fibre Spaces (1993) (28)
Boundedness of canonical $\mathbf {Q}$-Fano 3-folds (2000) (28)
Numerical characterisations of hyperquadrics (2004) (27)
Bounding codimension-one subvarieties and a general inequality between Chern numbers (1997) (20)
Moduli Spaces and Arithmetic Geometry (2007) (14)
Prospective multicenter study of the esophageal triamcinolone acetonide‐filling method in patients with subcircumferential esophageal endoscopic submucosal dissection (2020) (12)
Complex Analysis and Algebraic Geometry: On Numerical Campedelli Surfaces (1977) (11)
Counting Lines and Conics on a Surface Dedicated to Professor Friedrich Hirzebruch on his 80th birthday (2009) (10)
Outcomes of Endoscopic Submucosal Dissection for Subepithelial Lesions Localized Within the Submucosa, Including Neuroendocrine Tumors: A Multicenter Prospective Study. (2020) (7)
Stable Higgs bundles with trivial Chern classes. Several examples (2009) (5)
ICM-90 Satellite Conference Proceedings (1991) (4)
UEG Week 2016 Poster Presentations (2016) (4)
Performance assessment of an R32 commercial heat pump water heater in different climates (2022) (3)
FIELD EVALUATION OF AN ASPHALT STABILIZED SAND PAVEMENT DESIGNED USING THE ELASTIC LAYERED SYSTEM (1974) (3)
Evaluating Health Impact at High Altitude in Antarctica and Effectiveness of Monitoring Oxygen Saturation. (2020) (2)
Influence of LED Lamps on Air-conditioning Load and Energy Consumption in Commercial Buildings (2017) (2)
Tricanonical Map of a Certain Class of Surfaces (A SYMPOSIUM ON COMPLEX MANIFOLDS) (1975) (2)
Emulator-type load-based tests for dynamic performance characterization of air conditioners (2022) (1)
405 Improvement of Annual Energy Consumption Prediction for GHP Air-conditioners (2010) (1)
Intestinal-type gastric dysplasia in Helicobacter pylori-naïve patients (2021) (1)
Numerically Trained Artificial Neural Network for Experimental Performance Prediction of Air Conditioning Systems (2021) (0)
Construction of Non-Trivial Deformations via Frobenius (1997) (0)
Deformations and Rational Curves (1997) (0)
An example of stable Higgs bundles for which the Bogomolov inequality fails (2004) (0)
Consumers’ preferences for energy-efficient air conditioners in a developing country: a discrete choice experiment using eco labels (2023) (0)
Rationally Connected Fibrations and Applications (1997) (0)
Scalable Ann Model for Cost-Effective and Non-Intrusive Performance Prediction of Air Conditioning Installations (2022) (0)
Development of high efficiency VRF systems under partial heat load for commercial buildings (2016) (0)
Scalability and generalization in HVAC performance prediction using Artificial Neural Network (2021) (0)
ICOPE-15-1126 Study on Evaluation of Annual Energy Consumption of Multi-split type GHP Air-conditioner for Buildings (2015) (0)
Arithmetical algebraic geometry : proceedings of the 26th international symposium, Division of Mathematics, the Taniguchi Foundation, conference held at Brécourt, France, 7-14 July 1991 (1991) (0)
Driving Performance Evaluation of Air Conditioner for Global Warming Impact Evaluation (2021) (0)
A remark on variation of the Hodge structure on curves (1983) (0)
An example of stable Higgs bundles which do not satisfy the Bogomolov inequality (2003) (0)
A Case of Diffusely Infiltrating Primary Colorectal Carcinoma for Which Abdominal Ultrasonography Proved Useful in the Diagnosis (2000) (0)
Introduction: Why Rational Curves? (1997) (0)
Foliations and Purely Inseparable Coverings (1997) (0)
Intelligent performance prediction of air conditioning systems based on refrigerant temperatures (2022) (0)
Hodge Theory and Algebraic Geometry (2018) (0)
Simulation Technology and Simulator Development for Industrial Heat Pump (2021) (0)
Abundance for Minimal 3-Folds (1997) (0)

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What Schools Are Affiliated With Yoichi Miyaoka?

Yoichi Miyaoka is affiliated with the following schools:

Yoichi Miyaoka's Academic­Influence.com Rankings

Yoichi Miyaoka's Degrees

Why Is Yoichi Miyaoka Influential?

Yoichi Miyaoka's Published Works

Published Works

Other Resources About Yoichi Miyaoka

What Schools Are Affiliated With Yoichi Miyaoka?

Yoichi Miyaoka's AcademicInfluence.com Rankings