58 citations · 265 across the 45 of their papers we have counts for
4 papers · 1 filter
Functor of Points and Height Functions for Noncommutative Arakelov Geometry
Alicia Lima, Matilde Marcolli
We propose a notion of functor of points for noncommutative spaces, valued in categories of bimodules, and endowed with an action functional determined by a notion of hermitian str…
Birational maps and Nori motives
Noemie C. Combe, Yuri I. Manin, Matilde Marcolli
In this note, we sketch an approach to the problems of equivariant birational geometry developed by M. Kontsevich and Yu. Tschinkel, where Burnside invariants were introduced. We a…
Gluing Noncommutative Twistor Spaces
Matilde Marcolli, Roger Penrose
We describe a general procedure, based on Gerstenhaber-Schack complexes, for extending to quantized twistor spaces the Donaldson-Friedman gluing of twistor spaces via deformation t…
Dessins for Modular Operad and Grothendieck-Teichmuller Group
Noemie C. Combe, Yuri I. Manin, Matilde Marcolli
A part of Grothendieck's program for studying the Galois group of the field of all algebraic numbers emerged from his insight that one should…