Multiple ζ-Values, Galois Groups, and Geometry of Modular Varieties
By A. Goncharov. 2001
114 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/46ddc37155f70e1823193403456a1320378d131a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- M. Kontsevich
- Y. Soibelman
- T. Terasoma
- Michel Waldschmidt
- R. Hain
- Makoto Matsumoto
- A. Goncharov
- Claude Duhr
In Geometry and Topology
- M. Kontsevich
- Y. Soibelman
- Michel Waldschmidt
- F. Brown
- T. Terasoma
- R. Hain
- Makoto Matsumoto
- Mark Gross
In Mathematical Physics
- Y. Soibelman
- M. Kontsevich
- Michel Waldschmidt
- T. Terasoma
- F. Brown
- R. Hain
- Makoto Matsumoto
- A. Goncharov
Citations in the corpus
- Homological mirror symmetry and torus fibrations (2000, methodology): “ moving along the tree down to the root one reads off the map mn,T as the composition of maps assigned to vertices of T¯. Here is an example of Tand T¯: 6In a special case similar formulas appeared in [Go] 41 i i i 2 m H i m H m i p 3 2 Proposition 6 The linear map mB 1 defines a differential in B. Pro”
- Transcendence of Periods: The State of the Art (2006, background): “J. Wolfart [62] proved that there is a bijective map between the set E and a set of Abelian varieties of CM type – this is an extension to higher dimension of a theorem due to Th. Schneider on the transcendence of the modular invariant j ([51], [53] Th. 17).”
- Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P1 - {0,1, ∞} (2003, background): “When N = 1, this proves the generation portion of Conjecture 2.1 in [ 11 ].”
- Mixed Tate motives and multiple zeta values (2001, background): “is given by X∞ i=0 dit i = 1 1−t2 −t3 . The main theorem of this paper is the following. Theorem 1.2 (Main Theorem). dimLn ≤dn. Date: February 9, 2014. 1 2 T.TERASOMA The same theorem is announced in [4] and [5]. Let us explain the outline of the proof. First we construct a pair of varieties (Y0,B0)”
- Periods and mixed motives (2002, background): “The results above allow to replace G (l) •,•(� N) by C M,• (� N) everywhere in [ G5 ] where the structure of the Galois Lie algebra G (l) •,•(� N) was related to modular varieties.”