Computing projective equivalences of special algebraic varieties

Kód výsledku v IS VaVaI

RIV/49777513:23520/20:43956685 - isvavai.cz

Výsledek na webu

https://www.sciencedirect.com/science/article/pii/S0377042719304418?via%3Dihub

DOI - Digital Object Identifier

10.1016/j.cam.2019.112438

Jazyk výsledku

angličtina

Název v původním jazyce

Computing projective equivalences of special algebraic varieties

Popis výsledku v původním jazyce

This paper is devoted to the investigation of selected situations when computing projective (and other) equivalences of algebraic varieties can be efficiently solved via finding projective equivalences of finite sets of points on the projective line. In particular, we design a method that finds for two algebraic varieties X, Y from special classes an associated set of automorphisms of the projective line (the so called good candidate set) consisting of suitable candidates for the subsequent construction of possible mappings X -> Y. The functionality of the designed approach is presented for computing pro- jective equivalences of rational curves, determining projective equivalences of rational ruled surfaces, detecting affine transformations between planar algebraic curves, and computing similarities between two implicitly given algebraic surfaces. When possible, symmetries of given shapes are also discussed as special cases.

Název v anglickém jazyce

Computing projective equivalences of special algebraic varieties

Popis výsledku anglicky

This paper is devoted to the investigation of selected situations when computing projective (and other) equivalences of algebraic varieties can be efficiently solved via finding projective equivalences of finite sets of points on the projective line. In particular, we design a method that finds for two algebraic varieties X, Y from special classes an associated set of automorphisms of the projective line (the so called good candidate set) consisting of suitable candidates for the subsequent construction of possible mappings X -> Y. The functionality of the designed approach is presented for computing pro- jective equivalences of rational curves, determining projective equivalences of rational ruled surfaces, detecting affine transformations between planar algebraic curves, and computing similarities between two implicitly given algebraic surfaces. When possible, symmetries of given shapes are also discussed as special cases.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

ISSN

0377-0427

e-ISSN

—

Svazek periodika

367

Číslo periodika v rámci svazku

MAR 15

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

—

Kód UT WoS článku

000496861400013

EID výsledku v databázi Scopus

2-s2.0-85072192165