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Kahler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces

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Jennifer M. Johnson, János Kollár

Algebraic Geometry · Submitted 16 Aug 2000

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

The authors' main claim We prove that many of these admit a K\"ahler-Einstein metric and most of them do not have tigers.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath/0008129 (version 1)
Pith IDPXYIYY7Q, Pith's permanent record of this paper and its review
CitationJ\'anos Koll\'ar, Jennifer M. Johnson. "Kahler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces." arXiv:math/0008129 (2000). https://pith.science/paper/PXYIYY7Q
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,261 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We determine the complete list of anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. We prove that many of these admit a K\"ahler-Einstein metric and most of them do not have tigers.

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 determine the complete list of anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. result 0.56 0.95 0.50 asserted 1.00
s1 We prove that many of these admit a K\"ahler-Einstein metric and most of them do not have tigers. result 0.98 0.95 0.48 asserted 1.00

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

What was examined, and what was not

sources read
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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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 determine the complete list of anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. We prove that many of these admit a K\"ahler-Einstein metric and most of them do not have tigers.

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