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Gonality and Clifford index of curves on elliptic K3 surfaces with Picard number two

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Marco Ramponi

Algebraic Geometry · Submitted 1 Apr 2015

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

The authors' main claim We compute the Clifford index of all curves on a K3 surface with Picard group isomorphic to U(m).

how it is stated · asserted 1.00 read the record →

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arXiv ID1504.00147 (version 5)
Pith IDN7TJGHWV, Pith's permanent record of this paper and its review
CitationMarco Ramponi. "Gonality and Clifford index of curves on elliptic K3 surfaces with Picard number two." arXiv:1504.00147 (2015). https://pith.science/paper/N7TJGHWV
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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, 1,592 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v5. Results and the main claim are underlined; .

We compute the Clifford index of all curves on a K3 surface with Picard group isomorphic to U(m).

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 compute the Clifford index of all curves on a K3 surface with Picard group isomorphic to U(m). contribution 0.53 0.94 0.77 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

What was examined, and what was not

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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
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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 compute the Clifford index of all curves on a K3 surface with Picard group isomorphic to U(m).

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