28 citations · 202 across the 25 of their papers we have counts for
5 papers · 1 filter
Rational curves and strictly nef divisors on Calabi--Yau threefolds
Haidong Liu, Roberto Svaldi
We give a criterion for a nef divisor to be semiample on a Calabi--Yau threefold when and . As a direct consequence, we show that on suc…
Boundedness of elliptic Calabi-Yau varieties with a rational section
Caucher Birkar, Gabriele Di Cerbo, Roberto Svaldi
We show that for each fixed dimension , the set of -dimensional klt elliptic varieties with numerically trivial canonical bundle is bounded up to isomorphism in codimen…
On the connectedness principle and dual complexes for generalized pairs
Stefano Filipazzi, Roberto Svaldi
Let be a pair, and let be a contraction with nef over . A conjecture, known as the Shokurov-Kollár connectedness principle, predi…
The Jordan property for local fundamental groups
Lukas Braun, Stefano Filipazzi, Joaquín Moraga +1
We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index one covers…
Invariance of Plurigenera and boundedness for Generalized Pairs
Stefano Filipazzi, Roberto Svaldi
In this note, we survey some recent developments in birational geometry concerning the boundedness of algebraic varieties. We delineate a strategy to extend some of these results t…