Definition of Arakelov. Meaning of Arakelov. Synonyms of Arakelov

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Definition of Arakelov

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Meaning of Arakelov from wikipedia

- Sergey Arakelov (born 1957), Russian weightlifter Suren Arakelov (born 1947), Soviet mathematician This page lists people with the surname Arakelov. If an...
- In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine...
- Suren Yurievich Arakelov (Russian: Суре́н Ю́рьевич Араке́лов, Armenian: Սուրեն Յուրիի Առաքելով) (born October 16, 1947 in Kharkiv) is a Soviet mathematician...
- Saint Petersburg State University in 2005 with his thesis "New Approach to Arakelov Geometry". Continuing at the University of Bonn, he obtained in 2007 a...
- Hodge–Arakelov theory of elliptic curves is an analogue of classical and p-adic Hodge theory for elliptic curves carried out in the framework of Arakelov theory...
- exceptional. Arakelov class group The Arakelov class group is the analogue of the ideal class group or divisor class group for Arakelov divisors. Arakelov divisor...
- other parts of algebraic geometry. In the 1970s, Suren Arakelov developed Arakelov heights in Arakelov theory. In 1983, Faltings developed his theory of Faltings...
- hyperbolic curves over number fields. Mochizuki has also worked in Hodge–Arakelov theory and p-adic Teichmüller theory. Mochizuki developed inter-universal...
- theory Transcendental number theory Diophantine geometry (Arakelov theory, Hodge–Arakelov theory) Arithmetic combinatorics (additive number theory) Arithmetic...
- anabelian geometry, and the development of p-adic Teichmüller theory, Hodge–Arakelov theory and Frobenioid categories. It was developed with explicit references...