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Shigeru Iitaka
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 worldly leader in the field of Algebraic geometry. He received in 1970 his Ph.D. 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''). He was awarded the Iyanaga Prize of the Mathematical Society of Japan The Mathematical Society of Japan (MSJ, ja, 日本数学会) is a learned society for mathematics in Japan. In 1877, the organization was established as the ''Tokyo Sugaku Kaisha'' and was the first academic society in Japan. It was re-organized ... in 1980 and the Japan Academy Prize in 1990. References External linksCV of Shigeru Iitaka Living people 20th-century Japanese mathematicians 21st-century Japanese mathematicians Algebraic geometers 1942 b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chiba (city)
is the capital city of Chiba Prefecture, Japan. It sits about east of the centre of Tokyo on Tokyo Bay. The city became a government-designated city in 1992. In June 2019, its population was 979,768, with a population density of 3,605 people per km2. The city has an area of . Chiba City is one of the Kantō region's primary seaports, and is home to Chiba Port, which handles one of the highest volumes of cargo in Japan. Much of the city is residential, although there are many factories and warehouses along the coast. There are several major urban centres in the city, including Makuhari, a prime waterfront business district in which Makuhari Messe is located, and Central Chiba, in which the prefectural government office and the city hall are located. Chiba is famous for the Chiba Urban Monorail, the longest suspended monorail in the world. Some popular destinations in the city include: Kasori Shell Midden, the largest shellmound in the world at , Inage Beach, the first artific ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Society Of Japan
The Mathematical Society of Japan (MSJ, ja, 日本数学会) is a learned society for mathematics in Japan. In 1877, the organization was established as the ''Tokyo Sugaku Kaisha'' and was the first academic society in Japan. It was re-organized and re-established in its present form in 1946. The MSJ has more than 5,000 members. They have the opportunity to participate in programs at MSJ meetings which take place in spring and autumn each year. They also have the opportunity to announce their own research at these meetings. Prizes Geometry Prize The Geometry Prize is a mathematics award granted by the Mathematical Society of Japan to recognise significant or long-time research work in the field of geometry, including differential geometry, topology, and algebraic geometry. It was established in 1987. SourceMathematical Society of Japan Takebe Prize In the context of its 50th anniversary celebrations, the Mathematical Society of Japan established the Takebe Prize for the encoura ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Geometers
Algebraic may refer to any subject related to algebra in mathematics and related branches like algebraic number theory and algebraic topology. The word algebra itself has several meanings. Algebraic may also refer to: * Algebraic data type, a datatype in computer programming each of whose values is data from other datatypes wrapped in one of the constructors of the datatype * Algebraic numbers, a complex number that is a root of a non-zero polynomial in one variable with integer coefficients * Algebraic functions, functions satisfying certain polynomials * Algebraic element, an element of a field extension which is a root of some polynomial over the base field * Algebraic extension, a field extension such that every element is an algebraic element over the base field * Algebraic definition, a definition in mathematical logic which is given using only equalities between terms * Algebraic structure, a set with one or more finitary operations defined on it * Algebraic, the order of ent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century Japanese Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves, and quartic curves like lemniscates and Cassini ovals. A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation. Basic questions involve the study of the points of special interest like the singular points, the inflection points and the points at infinity. More advanced questions involve the topology of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Japan Academy Prize (academics)
The is a prize awarded by the Japan Academy in recognition of academic theses, books, and achievements. Overviews An award ceremony has been held every year since 1911. Up to nine of these Prizes are awarded every year. There have been 676 winners and 592 winning works as of 2005. They comprise a certificate, medal, and prize money of one million yen. Ceremony The ceremony is held on the premises of the Japan Academy in Ueno park. The Emperor has been visiting it since 1949. The three prizes awarded during the ceremony are: * The Imperial Prize * Japan Academy Prize * Duke of Edinburgh Prize After the ceremony some laureates give lectures on the topics of their research. Recipients (of Japan Academy Prize) * 2020 ** Minoru Ozima *2016 (106th) ** Kazutoshi Mori ** Yoshihiro Kawaoka *2015 (105th) ** Hideo Hosono ** Hiroaki Mitsuya *2014 (104th) ** Isamu Akasaki ** Takao Kondo ** Hiraku Nakajima * 2013 (103rd) **Yoshinori Tokura * 2012 (102nd) **Takaaki Kajita ** Shim ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Iitaka Dimension
In algebraic geometry, the Iitaka dimension of a line bundle ''L'' on an algebraic variety ''X'' is the dimension of the image of the rational map to projective space determined by ''L''. This is 1 less than the dimension of the section ring of ''L'' :R(X, L) = \bigoplus_^\infty H^0(X, L^). The Iitaka dimension of ''L'' is always less than or equal to the dimension of ''X''. If ''L'' is not effective, then its Iitaka dimension is usually defined to be -\infty or simply said to be negative (some early references define it to be −1). The Iitaka dimension of ''L'' is sometimes called L-dimension, while the dimension of a divisor D is called D-dimension. The Iitaka dimension was introduced by . Big line bundles A line bundle is big if it is of maximal Iitaka dimension, that is, if its Iitaka dimension is equal to the dimension of the underlying variety. Bigness is a birational invariant: If is a birational morphism of varieties, and if ''L'' is a big line bundle on ''X'', th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Japan
Japan ( ja, 日本, or , and formally , ''Nihonkoku'') is an island country in East Asia. It is situated in the northwest Pacific Ocean, and is bordered on the west by the Sea of Japan, while extending from the Sea of Okhotsk in the north toward the East China Sea, Philippine Sea, and Taiwan in the south. Japan is a part of the Ring of Fire, and spans Japanese archipelago, an archipelago of List of islands of Japan, 6852 islands covering ; the five main islands are Hokkaido, Honshu (the "mainland"), Shikoku, Kyushu, and Okinawa Island, Okinawa. Tokyo is the Capital of Japan, nation's capital and largest city, followed by Yokohama, Osaka, Nagoya, Sapporo, Fukuoka, Kobe, and Kyoto. Japan is the List of countries and dependencies by population, eleventh most populous country in the world, as well as one of the List of countries and dependencies by population density, most densely populated and Urbanization by country, urbanized. About three-fourths of Geography of Japan, the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kodaira Dimension
In algebraic geometry, the Kodaira dimension ''κ''(''X'') measures the size of the canonical ring, canonical model of a projective variety ''X''. Igor Shafarevich, in a seminar introduced an important numerical invariant of surfaces with the notation ''κ''. Shigeru Iitaka extended it and defined the Kodaira dimension for higher dimensional varieties (under the name of canonical dimension), and later named it after Kunihiko Kodaira. The plurigenera The canonical bundle of a smooth scheme, smooth algebraic variety ''X'' of dimension ''n'' over a field is the line bundle of ''n''-forms, :\,\!K_X = \bigwedge^n\Omega^1_X, which is the ''n''th exterior power of the cotangent bundle of ''X''. For an integer ''d'', the ''d''th tensor power of ''K''''X'' is again a line bundle. For ''d'' ≥ 0, the vector space of global sections ''H''0(''X'',''K''''X''''d'') has the remarkable property that it is a birational invariant of smooth projective varieties ''X''. That is, this vector spa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yujiro Kawamata
Yujiro Kawamata (born 1952) is a Japanese mathematician working in algebraic geometry. Career Kawamata completed the master's course at the University of Tokyo in 1977. He was an Assistant at the University of Mannheim from 1977 to 1979 and a Miller Fellow at the University of California, Berkeley from 1981 to 1983. Kawamata is now a professor at the University of Tokyo. He won the Mathematical Society of Japan Autumn award (1988) and the Japan Academy of Sciences award (1990) for his work in algebraic geometry. Research Kawamata was involved in the development of the minimal model program in the 1980s. The program aims to show that every algebraic variety is birational to one of an especially simple type: either a minimal model or a Fano fiber space. The Kawamata-Viehweg vanishing theorem, strengthening the Kodaira vanishing theorem, is a method. Building on that, Kawamata proved the basepoint-free theorem. The cone theorem and contraction theorem, central results in the theor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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