Non-existence of phantoms on some non-generic blowups of the projective plane

We show that blowups of the projective plane at points lying on a smooth cubic curve do not contain phantoms, provided the points are chosen in very general position on this curve.

Authors

Kimoi Kemboi
Lev Borisov (ORCID: https://orcid.org/0000-0002-9393-4229)

Institutions

Rutgers, The State University of New Jersey (US)
Princeton University (US)

Publication Details

Journal: Proceedings of the American Mathematical Society
Published: 2025-01-29
DOI: https://doi.org/10.1090/proc/17105
Citations: 1
Primary Topic: Mathematical Analysis and Transform Methods
Type: article
Field-Weighted Citation Impact: 3.73

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article

Non-existence of phantoms on some non-generic blowups of the projective plane

Kimoi Kemboi, Lev Borisov

Jan 29, 2025

1 citations

Proceedings of the American Mathematical Society

Mathematical Analysis and Transform Methods

3.73

article

Non-existence of phantoms on some non-generic blowups of the projective plane

Kimoi Kemboi, Lev Borisov

January 29, 2025article en

1 citations

Abstract

We show that blowups of the projective plane at points lying on a smooth cubic curve do not contain phantoms, provided the points are chosen in very general position on this curve.

Proceedings of the American Mathematical SocietyVol. 153(3)

Rutgers, The State University of New Jersey (US), Princeton University (US)

Openalex Percentile: Top 14%

Mathematical Analysis and Transform Methods

3.73

DOI Source OpenAlex

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Non-existence of phantoms on some non-generic blowups of the projective plane — Kimoi Kemboi, Lev Borisov · Proceedings of the American Mathematical Society (2025) | TGRS Research Map | TGRS