skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Svaldi, Roberto"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; (, Forum of Mathematics, Sigma)
    Abstract Let $(X,B)$ be a pair, and let $$f \colon X \rightarrow S$$ be a contraction with $$-({K_{X}} + B)$$ nef over S . A conjecture, known as the Shokurov–Kollár connectedness principle, predicts that $$f^{-1} (s) \cap \operatorname {\mathrm {Nklt}}(X,B)$$ has at most two connected components, where $$s \in S$$ is an arbitrary schematic point and $$\operatorname {\mathrm {Nklt}}(X,B)$$ denotes the non-klt locus of $(X,B)$ . In this work, we prove this conjecture, characterizing those cases in which $$\operatorname {\mathrm {Nklt}}(X,B)$$ fails to be connected, and we extend these same results also to the category of generalized pairs. Finally, we apply these results and the techniques to the study of the dual complex for generalized log Calabi–Yau pairs, generalizing results of Kollár–Xu [ Invent. Math . 205 (2016), 527–557] and Nakamura [ Int. Math. Res. Not. IMRN 13 (2021), 9802–9833]. 
    more » « less
    Full Text Available