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Characteristic classes of mixed Hodge modules and applications

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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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Laurentiu Maxim, Joerg Schuermann

Algebraic Geometry · Submitted 19 Jul 2013

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

The authors' main claim We give an overview, with an emphasis on applications, of recent developments on the interaction between characteristic class theories for singular spaces and Saito's theory of mixed Hodge modules in the complex algebraic context.

how it is stated · asserted 0.95 read the record →

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arXiv ID1307.5152 (version 2)
Pith IDZV5GVIXR, Pith's permanent record of this paper and its review
CitationJoerg Schuermann, Laurentiu Maxim. "Characteristic classes of mixed Hodge modules and applications." arXiv:1307.5152 (2013). https://pith.science/paper/ZV5GVIXR
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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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,298 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.03 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

These notes are an extended version of the authors' lectures at the 2013 CMI Workshop "Mixed Hodge Modules and Their Applications". We give an overview, with an emphasis on applications, of recent developments on the interaction between characteristic class theories for singular spaces and Saito's theory of mixed Hodge modules in the complex algebraic context.

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 These notes are an extended version of the authors' lectures at the 2013 CMI Workshop "Mixed Hodge Modules and Their Applications". background 0.98 0.61 0.02 asserted 1.00
s1 We give an overview, with an emphasis on applications, of recent developments on the interaction between characteristic class theories for singular spaces and Saito's theory of mixed Hodge modules in the complex algebraic context. contribution 0.98 0.39 0.23 asserted 0.95

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.91.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
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

These notes are an extended version of the authors' lectures at the 2013 CMI Workshop "Mixed Hodge Modules and Their Applications". We give an overview, with an emphasis on applications, of recent developments on the interaction between characteristic class theories for singular spaces and Saito's theory of mixed Hodge modules in the complex algebraic context.

Human review

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How the literature uses it

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

What it cites · 7 sentences without a confident label

Builds on 1 paper
  • The strategy outlined above for the generating series of Hirzebruch classes, is also used in [ref] for the study of Todd (resp. Chern) classes of symmetric products of coherent (resp. constructible) sheaf complexes, generalizing to arbitrary coefficients results of Moonen [ref] and resp. Ohmoto [ref] .

    Characteristic classes of symmetric products of complex quasi-projective varieties · Application: Characteristic Classes of Symmetric Products · 0.89

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