93 citations · 137 across the 26 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.AG2026
Singularities of rational maps: foundations and surfaces
Caucher Birkar
We develop a theory of singularities of rational maps, focusing on maps and using their polarised graphs and normalised polarised graphs…
math.AG2026
Stein degree of proper morphisms
Caucher Birkar
The notion of degree begins in field theory as the dimension of a field extension. In algebraic geometry, this idea reappears as the degree of a finite morphism, defined using the…
math.AG2026
Sheaf stable pairs on projective surfaces and birational geometry
Caucher Birkar, Jia Jia, Artan Sheshmani +1
We study moduli space of higher rank marginally stable pairs (E,s:= (s_1,..., s_r)) consisting of torsion free coherent sheaf E of rank r and r sections (s_1,..., s_r) on a smooth…