On the freeness of certain determinantal hypersurface arrangements in $\mathbb{P}^{14}$

Type: Preprint

Publication Date: 2022-01-04

Citations: 0

Abstract

In the present note we study determinantal arrangements constructed with use of the $3$-minors of a $3 \times 5$ generic matrix of indeterminates. In particular, we show that certain naturally constructed hypersurface arrangements in $\mathbb{P}^{14}_{\mathbb{C}}$ are free.

Locations

  • arXiv (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ A note on free determinantal hypersurface arrangements in $\mathbb{P}^{14}_{\mathbb{C}}$ 2022 Marek Janasz
Paulina Wiśniewska
+ PDF Chat A note on free determinantal hypersurface arrangements in P¹⁴C 2023 Marek Janasz
Paulina Wiśniewska
+ PDF Chat On the Dimension of the Locus of Determinantal Hypersurfaces 2016 Zinovy Reichstein
Angelo Vistoli
+ On the genesis of a determinantal identity 2012 Vijay Kodiyalam
+ On the genesis of a determinantal identity 2012 Vijay Kodiyalam
+ PDF Chat Polynomial relations among principal minors of a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mn>4</mml:mn><mml:mo>×</mml:mo><mml:mn>4</mml:mn></mml:math>-matrix 2009 Shaowei Lin
Bernd Sturmfels
+ Homological Properties of Determinantal Arrangements 2015 Arnold Yim
+ Homological Properties of Determinantal Arrangements 2015 Arnold Yim
+ Polynomial relations among principal minors of a 4x4-matrix 2008 Shaowei Lin
Bernd Sturmfels
+ ON THE FREENESS OF 3-ARRANGEMENTS 2005 Masahiko Yoshinaga
+ The $4 \times 4$ orthostochastic variety 2020 Justin Chen
Papri Dey
+ PDF Chat The $4 \times 4$ orthostochastic variety 2020 Justin Chen
Papri Dey
+ NOTE ON A SET OF EQUIVALENT DETERMINANTS CONNECTED WITH A 3-BY-6 ARRAY 1932 Thomas Muir
+ PDF Chat Fano schemes of determinants and permanents 2015 Melody Chan
Nathan Ilten
+ PDF Chat On the codimension of permanental varieties 2024 Ada Boralevi
Enrico Maria Carlini
Mateusz Michałek
Emanuele Ventura
+ Quadric surfaces in the Pfaffian hypersurface in $\mathbb{P}^{14}$ 2020 Ada Boralevi
Maria Lucia Fania
Emilia Mezzetti
+ On real determinantal quartics 2010 Alex Degtyarev
Ilia Itenberg
+ The Hypersolvable Complex Reflection Arrangement A(G29) 2014 Rabeaa G. A. Al-Aleyawee
+ The Arveson boundary of a Free Quadrilateral is given by a noncommutative variety 2020 Eric Evert
+ PDF Chat The Arveson boundary of a free quadrilateral is given by a noncommutative variety 2021 Eric Evert

Works That Cite This (0)

Action Title Year Authors

Works Cited by This (0)

Action Title Year Authors