2021
DOI: 10.1515/crelle-2021-0039
|View full text |Cite
|
Sign up to set email alerts
|

Bounding non-rationality of divisors on 3-fold Fano fibrations

Abstract: In this paper we investigate non-rationality of divisors on 3-fold log Fano fibrations ( X , B ) → Z … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
5

Citation Types

0
9
0

Year Published

2021
2021
2022
2022

Publication Types

Select...
3

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(9 citation statements)
references
References 11 publications
0
9
0
Order By: Relevance
“…In higher dimensions, the degree of irrationality irr(D) of a variety D is the least possible degree of dominant rational maps D P dim D (see §2.16). The first named author and Loginov ask in [BL21] whether a similar result to Theorem 1.1 for klt Fano fibrations of higher dimensions should also hold.…”
Section: Introductionmentioning
confidence: 91%
See 3 more Smart Citations
“…In higher dimensions, the degree of irrationality irr(D) of a variety D is the least possible degree of dominant rational maps D P dim D (see §2.16). The first named author and Loginov ask in [BL21] whether a similar result to Theorem 1.1 for klt Fano fibrations of higher dimensions should also hold.…”
Section: Introductionmentioning
confidence: 91%
“…In the paper [BL21], the first named author and Loginov study the non-rationality property of degenerations of klt del Pezzo surfaces and prove how far the components of the degenerations can be from being rational. More precisely, the boundedness of irrationality of degenerations is proved in [BL21] as follows. In particular, by [BL21] Theorem 1.1, the Date: January 17, 2024.…”
Section: Introductionmentioning
confidence: 99%
See 2 more Smart Citations
“…The main point is that, putting z = f (S), by Theorem 1.5, (X, tf * z) is klt for some fixed t > 0. This allows us to apply the results of [17]. In upcoming work we bound the genus of C and treat similar statements in higher dimension.…”
Section: Introductionmentioning
confidence: 87%