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March 29, 2022International Mathematics Research Notices

An Effective Upper Bound for Anti-Canonical Volumes of Canonical ℚ-Fano Three-folds

Chen Jiang Yu Zou

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Abstract

We show that the anti-canonical volume of a canonical weak Q-Fano three-fold is at most $324$.

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Cite This Study

Jiang et al. (2022) studied this question.

synapsesocial.com/papers/6a7be0c70449e558d7c2aee0 https://doi.org/10.1093/imrn/rnac100

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Singularities of linear systems and boundedness of Fano varietiesOriginal Research · 2021 · 217 citations
2Existence of minimal models for varieties of log general typeOriginal Research · 2009 · 1,283 citations
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4Shokurov’s conjecture on conic bundles with canonical singularitiesOriginal Research · 2022 · 10 citations
5BOUNDING THE VOLUMES OF SINGULAR WEAK LOG DEL PEZZO SURFACESOriginal Research · 2013 · 8 citations

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