The V22r-1 of PG (2r, q) as a Representation of PG (2, q) : Sections and Partitions

This note investigates the hyperplane sections of a ruled variety V 2 2r−1 embedded in PG( 2r,q ) , which yield caps associated with specific arcs in PG( 2,q ) . We construct a partition of the affine points of V 2 2r−1 into caps, corresponding to a partition of the affine plane PG( 2,q ) into conics.

Authors

Rita Vincenti (ORCID: https://orcid.org/0000-0002-6792-3673)

Institutions

University of Perugia (IT)

Publication Details

Journal: Open Journal of Discrete Mathematics
Published: 2025-01-01
DOI: https://doi.org/10.4236/ojdm.2025.154005
Primary Topic: Analytic and geometric function theory
Type: article
Field-Weighted Citation Impact: 0.00

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

The V₂^2r-1 of PG (2r, q) as a Representation of PG (2, q) : Sections and Partitions

Rita Vincenti

Jan 1, 2025

Open Journal of Discrete Mathematics

Analytic and geometric function theory

article

The V₂^2r-1 of PG (2r, q) as a Representation of PG (2, q) : Sections and Partitions

Rita Vincenti

January 1, 2025article en

Abstract

Open Journal of Discrete MathematicsVol. 15(04)

University of Perugia (IT)

Openalex Percentile: Top 72%

Analytic and geometric function theory

DOI Open Access PDF OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The V22r-1 of PG (2r, q) as a Representation of PG (2, q) : Sections and Partitions — Rita Vincenti · Open Journal of Discrete Mathematics (2025) | TGRS Research Map | TGRS

The &lt;i&gt;V&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;sup&gt;2r-1&lt;/sup&gt; of &lt;i&gt;PG&lt;/i&gt; (2r, q) as a Representation of &lt;i&gt;PG&lt;/i&gt; (2, q) : Sections and Partitions

Authors

Institutions

Publication Details

The V22r-1 of PG (2r, q) as a Representation of PG (2, q) : Sections and Partitions

The V22r-1 of PG (2r, q) as a Representation of PG (2, q) : Sections and Partitions

Abstract

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

The <i>V</i><sub>2</sub><sup>2r-1</sup> of <i>PG</i> (2r, q) as a Representation of <i>PG</i> (2, q) : Sections and Partitions

The V₂^2r-1 of PG (2r, q) as a Representation of PG (2, q) : Sections and Partitions

The V₂^2r-1 of PG (2r, q) as a Representation of PG (2, q) : Sections and Partitions