Monomial Cremona transformations and toric polar maps

被引：0

作者：

Fassarella, T. ^{[1
,2
]}

Medeiros, N. ^{[1
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat & Estat, Niteroi, RJ, Brazil

[2] Univ Fed Fluminense, Dept Analise, BR-24220900 Niteroi, RJ, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 05期

关键词：

Algebra;

D O I：

10.1080/00927872.2022.2145609

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a birational map in the three dimensional projective space defined by monomials of degree d, we prove that its inverse is defined by monomials of degree at most d(2)-d+1.

引用

下载

页码：1900 / 1906

页数：7

共 50 条

[1] COMBINATORICS OF CREMONA MONOMIAL MAPS
Simis, Aron
Villarreal, Rafael H.
MATHEMATICS OF COMPUTATION, 2012, 81 (279) : 1857 - 1867
[2] Polar cremona transformations
Dolgachev, IV
MICHIGAN MATHEMATICAL JOURNAL, 2000, 48 : 191 - 202
[3] Counting square-free monomial Cremona maps
Bárbara Costa
Thiago Dias
Rodrigo Gondim
Ricardo Machado
São Paulo Journal of Mathematical Sciences, 2023, 17 : 76 - 101
[4] Counting square-free monomial Cremona maps
Costa, Barbara
Dias, Thiago
Gondim, Rodrigo
Machado, Ricardo
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2023, 17 (01): : 76 - 101
[5] POLAR CREMONA TRANSFORMATIONS AND MONODROMY OF POLYNOMIALS
Ahmed, Imran
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2010, 47 (01) : 81 - 89
[6] Toric polar maps and characteristic classes
Thiago Fassarella
Nivaldo Medeiros
Rodrigo Salomão
European Journal of Mathematics, 2024, 10 (4)
[7] THE GROUP OF CREMONA TRANSFORMATIONS GENERATED BY LINEAR MAPS AND THE STANDARD INVOLUTION
Blanc, Jeremy
Heden, Isac
ANNALES DE L INSTITUT FOURIER, 2015, 65 (06) : 2641 - 2680
[8] Plane polar Cremona maps of arbitrarily large degree in positive characteristic
Rémi Bignalet-Cazalet
Geometriae Dedicata, 2021, 214 : 559 - 570
[9] Plane polar Cremona maps of arbitrarily large degree in positive characteristic
Bignalet-Cazalet, Remi
GEOMETRIAE DEDICATA, 2021, 214 (01) : 559 - 570
[10] Planar cremona transformations
Barber, SF
AMERICAN JOURNAL OF MATHEMATICS, 1934, 56 : 109 - 121

← 1 2 3 4 5 →