Suras Yuryevich Arakelow

Suren Jurjewitsch Arakelow ( Russian Сурен Юрьевич Аракелов , scientific transliteration Suren Jur'evič Arakelov ; born October 16, 1947 in Kharkiv ) is a Russian mathematician who dealt with arithmetic-algebraic geometry.

Arakelow studied mathematics from 1965 at the Moscow State Lomonosov University , where he graduated in 1971. He received his candidate title (dissertation) in 1974 at the Steklow Institute with Igor Schafarewitsch . After that he was a scientist (in the mathematical field) at the Gubkin Institute for Oil and Gas in Moscow. In 1979 he had to give up his scientific work because he fell ill with schizophrenia . He lives in Moscow (2014) with his wife and two children.

Arakelow is known for the theory named after him, which was used by Gerd Faltings in 1983 to prove the Mordell conjecture . In her study of Diophantine equations (points on curves over the integers ) to Grothendieck through schemes on (the holomorphic vector bundles over by adding a "point at infinity" with Hermitian metric) "completed". The theory tries to provide a geometric framework for the investigation of number theoretic problems. ${\displaystyle X}$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle \mathbb {Z} }$ ${\displaystyle X(\mathbb {C} )}$

In 1974 he was invited speaker at the International Congress of Mathematicians in Vancouver ( Theory of intersections on the arithmetic surface ).

literature

• Arakelov: Families of algebraic curves with fixed degeneracies. Mathematics of the USSR - Izvestiya, 1971, Vol. 5, pp. 1277-1302.
• Arakelov: Intersection theory of divisors on an arithmetic surface. Mathematics of the USSR - Izvestiya, 1974, Vol. 8, pp. 1167-1180.
• Arakelov: Theory of Intersections on the Arithmetic Surface. ICM Vancouver 1974, Vol. 1, 1975, pp. 405-408.
• Serge Lang : Introduction to Arakelov Theory. Springer 1988.

Web links

• C. Soulé on Arakelow Geometry (Encycl. Of Math., English)