Pith. sign in

REVIEW 1 cited by

Varieties of general type with doubly exponential asymptotics

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2109.13383 v3 pith:3LCXTFIC submitted 2021-09-27 math.AG

Louis Esser , Burt Totaro , Chengxi Wang This is my paper · ORCID
classification math.AG
keywords volumedoublyvarietiesdecaydimensionexamplesexponentialgeneral
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We construct smooth projective varieties of general type with the smallest known volume and others with the most known vanishing plurigenera in high dimensions. The optimal volume bound is expected to decay doubly exponentially with dimension, and our examples achieve this decay rate. We also consider the analogous questions for other types of varieties. For example, in every dimension we conjecture the terminal Fano variety of minimal volume, and the canonical Calabi-Yau variety of minimal volume. In each case, our examples exhibit doubly exponential behavior.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Construction of minimal varieties from quasi-smooth weighted complete intersections

    math.AG 2025-06 conditional novelty 6.0 of 10

    New nefness criteria for canonical divisors under weighted blow-ups produce 79 families of minimal 3-folds of general type, infinite families with Kodaira dimension 2, and 16 families on or near the Noether lines.

Pith tools