72 citations · 75 across the 3 of their papers we have counts for
3 papers
math.AG2011★ 1 cited
Classifying Vectoids and Generalisations of Operads
Nikolai Durov
A new generalisation of the notion of space, called "vectoid", is suggested in this work. Basic definitions, examples and properties are presented, as well as a construction of dir…
math.AG2007★ 72 cited
New Approach to Arakelov Geometry
Nikolai Durov
This work is dedicated to a new completely algebraic approach to Arakelov geometry, which doesn't require the variety under consideration to be generically smooth or projective. In…
math.RT2006★ 2 cited
A universal formula for representing Lie algebra generators as formal power series with coefficients in the Weyl algebra
Nikolai Durov, Stjepan Meljanac, Andjelo Samsarov +1
Given a -dimensional Lie algebra over a field , together with its vector space basis , we give a formula, depending only on the struct…