The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula>
In this paper, we compute asymptotic invariants—specifically, the Waldschmidt constants and the Seshadri constants—of a set of 31 points in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvarian...
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2024-12-01
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| author | Mikołaj Le Van Tomasz Szemberg |
| author_facet | Mikołaj Le Van Tomasz Szemberg |
| author_sort | Mikołaj Le Van |
| collection | DOAJ |
| description | In this paper, we compute asymptotic invariants—specifically, the Waldschmidt constants and the Seshadri constants—of a set of 31 points in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn>3</mn></msup></semantics></math></inline-formula>, defined as the intersection points of a Fermat-type arrangement of planes. |
| format | Article |
| id | doaj-art-c9d994bcaf654314a74e8f83ac0a29a7 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-c9d994bcaf654314a74e8f83ac0a29a72025-08-20T02:43:42ZengMDPI AGMathematics2227-73902024-12-011224394510.3390/math12243945The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula>Mikołaj Le Van0Tomasz Szemberg1Department of Mathematics, University of the National Education Commission Krakow, Podchora̧żych 2, 30-084 Kraków, PolandDepartment of Mathematics, University of the National Education Commission Krakow, Podchora̧żych 2, 30-084 Kraków, PolandIn this paper, we compute asymptotic invariants—specifically, the Waldschmidt constants and the Seshadri constants—of a set of 31 points in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn>3</mn></msup></semantics></math></inline-formula>, defined as the intersection points of a Fermat-type arrangement of planes.https://www.mdpi.com/2227-7390/12/24/3945Chudnovsky Conjecturelocal positivitylocal effectivitySeshadri constantWaldschmidt constant |
| spellingShingle | Mikołaj Le Van Tomasz Szemberg The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula> Mathematics Chudnovsky Conjecture local positivity local effectivity Seshadri constant Waldschmidt constant |
| title | The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula> |
| title_full | The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula> |
| title_fullStr | The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula> |
| title_full_unstemmed | The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula> |
| title_short | The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula> |
| title_sort | assymptotic invariants of a fermat type set of points in inline formula math display inline semantics msup mi mathvariant double struck p mi mn mathvariant bold 3 mn msup semantics math inline formula |
| topic | Chudnovsky Conjecture local positivity local effectivity Seshadri constant Waldschmidt constant |
| url | https://www.mdpi.com/2227-7390/12/24/3945 |
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