3 papers
math.DG2025
K-polystability of Asymptotically Conical Kähler-Ricci Shrinkers
Charles Cifarelli, Carlos Esparza
Recently, Sun-Zhang have developed an algebraic theory for Kähler-Ricci shrinkers showing that they admit the structure of a polarized Fano fibration . In parti…
math.DG2025
Uniqueness of asymptotically conical shrinking gradient Kähler-Ricci solitons
Carlos Esparza
We show that, up to biholomorphism, a given noncompact complex manifold only admits one shrinking gradient Kähler-Ricci soliton with Ricci curvature tending to zero at infinity. O…
math.DG2025
Shrinking gradient Kähler-Ricci solitons are simply-connected
Carlos Esparza
We show that smooth polarized Fano fibrations have no nontrivial finite covers. Using results by Sun-Zhang and Wylie, it follows that shrinking Kähler-Ricci solitons are simply-co…