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A geometric characterisation of toric varieties

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Morgan Brown, James McKernan, Roberto Svaldi, Hong Zong

Algebraic Geometry · Submitted 28 May 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We prove a conjecture of Shokurov which characterises toric varieties using log pairs.

how it is stated · asserted 1.00 read the record →

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arXiv ID1605.08911 (version 1)
Pith IDFXBYBOIL, Pith's permanent record of this paper and its review
CitationHong Zong, James McKernan, Morgan Brown, Roberto Svaldi. "A geometric characterisation of toric varieties." arXiv:1605.08911 (2016). https://pith.science/paper/FXBYBOIL
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,573 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.04 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We prove a conjecture of Shokurov which characterises toric varieties using log pairs.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We prove a conjecture of Shokurov which characterises toric varieties using log pairs. contribution 0.69 0.95 0.95 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • references and citing sentences
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  • T body sentences
  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We prove a conjecture of Shokurov which characterises toric varieties using log pairs.

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How the literature uses it

4 arXiv papers cite this in 15 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 10 sentences without a confident label

Builds on it 1 paper
Cites it as background 3 papers

What it cites · 1 sentence without a confident label

Builds on 1 paper
Cites as background 1 paper
  • [ref] contains work related to both [ref] and [ref].

    1306.4131 · Introduction · 0.90

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