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Stable bundle extensions on elliptic Calabi-Yau threefolds

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Bjorn Andreas, Gottfried Curio

Algebraic Geometry · Submitted 24 Nov 2006

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

The authors' main claim We show that these bundles can solve the topological anomaly constraint in heterotic string theory without the need of invoking background fivebranes.

how it is stated · asserted 0.92 read the record →

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arXiv IDmath/0611762 (version 2)
Pith IDGFVMW6CO, Pith's permanent record of this paper and its review
CitationBjorn Andreas, Gottfried Curio. "Stable bundle extensions on elliptic Calabi-Yau threefolds." arXiv:math/0611762 (2006). https://pith.science/paper/GFVMW6CO
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,242 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.41 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We construct stable bundle extensions on elliptically fibered Calabi-Yau threefolds. We show that these bundles can solve the topological anomaly constraint in heterotic string theory without the need of invoking background fivebranes.

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 construct stable bundle extensions on elliptically fibered Calabi-Yau threefolds. contribution 1.00 0.95 0.21 asserted 1.00
s1 We show that these bundles can solve the topological anomaly constraint in heterotic string theory without the need of invoking background fivebranes. result 0.81 0.91 0.71 asserted 0.92

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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 construct stable bundle extensions on elliptically fibered Calabi-Yau threefolds. We show that these bundles can solve the topological anomaly constraint in heterotic string theory without the need of invoking background fivebranes.

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1 arXiv paper cite this in 1 sentence

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

Cites it as background 1 paper
  • Since the literature on this topic is vast (see for example [ref] ) and applications [ref] , we make no attempt at a comprehensive review, but instead aim for a curated survey of some of the tools that will prove most useful in later Sections.

    Extending the Geometry of Heterotic Spectral Cover Constructions · A review of vector bundles over Weierstrass elliptic fibrations and Fourier-Mukai Transforms · 1.00

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