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A construction of Chern classes of parabolic vector bundles

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Indranil Biswas, Ajneet Dhillon

Algebraic Geometry · Submitted 14 Sep 2012

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

The authors' main claim Using these we give a construction of the parabolic Chern classes.

how it is stated · asserted 1.00 read the record →

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arXiv ID1209.3160 (version 1)
Pith IDMXVTHTUH, Pith's permanent record of this paper and its review
CitationAjneet Dhillon, Indranil Biswas. "A construction of Chern classes of parabolic vector bundles." arXiv:1209.3160 (2012). https://pith.science/paper/MXVTHTUH
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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, 2,837 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · 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 0.42 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

Given a parabolic vector bundle, we construct for it a projectivization and tautological line bundle. These are analogs of the projectivization and tautological line bundle for an usual vector bundle. Using these we give a construction of the parabolic Chern classes.

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 Given a parabolic vector bundle, we construct for it a projectivization and tautological line bundle. contribution 0.81 0.94 0.17 asserted 1.00
s1 These are analogs of the projectivization and tautological line bundle for an usual vector bundle. interpretation 0.51 0.33 0.07 asserted 1.00
s2 Using these we give a construction of the parabolic Chern classes. contribution 0.92 0.95 0.82 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.55 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • 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

Given a parabolic vector bundle, we construct for it a projectivization and tautological line bundle. These are analogs of the projectivization and tautological line bundle for an usual vector bundle. Using these we give a construction of the parabolic Chern classes.

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