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Shigeru Iitaka (飯高 茂 Iitaka Shigeru, born May 29, 1942, Chiba) is a Japanese mathematician at Gakushuin University working in algebraic geometry who introduced the Kodaira dimension, and Iitaka dimension. He was a world leader in the field of Algebraic geometry.
He received his Ph.D. in 1970 from the University of Tokyo under Kunihiko Kodaira with thesis「代数多様体のD-次元について」(On D-dimensions of algebraic varieties).[1] He was awarded the Iyanaga Prize of the Mathematical Society of Japan in 1980 and the Japan Academy Prize in 1990.
^Shigeru Iitaka at the Mathematics Genealogy Project
ShigeruIitaka (飯高 茂 IitakaShigeru, born May 29, 1942, Chiba) is a Japanese mathematician at Gakushuin University working in algebraic geometry who introduced...
dimension was introduced by ShigeruIitaka (1970, 1971). A line bundle is big if it is of maximal Iitaka dimension, that is, if its Iitaka dimension is equal to...
introduced an important numerical invariant of surfaces with the notation κ. ShigeruIitaka extended it and defined the Kodaira dimension for higher dimensional...
Geometry – An Introduction to Birational Geometry of Algebraic Varieties, ShigeruIitaka (1982, ISBN 978-1-4613-8121-1) Lectures on the Theory of Algebraic Numbers...
University Stanford University Doctoral advisor Shokichi Iyanaga Doctoral students Walter Lewis Baily, Jr. ShigeruIitaka Yoichi Miyaoka James A. Morrow...
Gennadi M. Henkin Nigel James Hitchin Christopher Hooley Wu-Chung Hsiang ShigeruIitaka Vasilii Alekseevich Iskovskikh R. S. Ismagilov Tadeusz Iwaniec Jens...
log(z) = dz/z along components of the divisor given locally by z=0. Iitaka, Shigeru (1976), "Logarithmic forms of algebraic varieties", Journal of the...
dimension 3. Kawamata used analytic methods in Hodge theory to prove the Iitaka conjecture over a base of dimension 1. More recently, a series of papers...
Graduate Texts in Mathematics. Vol. 52. Springer. ISBN 978-1-4757-3849-0. Iitaka, Shigeru (2011) [1982]. Algebraic Geometry: An Introduction to Birational Geometry...