2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AG2025
Atoms meet symbols
Leonardo F. Cavenaghi, Ludmil Katzarkov, Maxim Kontsevich
This paper introduces a novel framework for constructing invariants in -equivariant birational geometry by unifying two recent approaches: the theory of atoms recently developed…
math.AG2025
Birational Invariants from Hodge Structures and Quantum Multiplication
Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev +1
We introduce new invariants of smooth complex projective varieties, called Hodge atoms. Their construction combines rational Gromov-Witten invariants with classical Hodge theory an…
math.AG2009★ 2 cited
Linear Shafarevich Conjecture
Philippe Eyssidieux, L. Katzarkov, Tony Pantev +1
We prove that the universal covering space of a complex projective manifold is holomorphically convex provided its fundamental group is linear.