Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant

Autor:	Karl Rubin, Shahed Sharif, Travis Scholl, Alice Silverberg, Eric M. Rains
Rok vydání:	2021
Předmět:	TheoryofComputation_MISCELLANEOUS Pure mathematics Algebra and Number Theory Mathematics - Number Theory 010102 general mathematics Dimension (graph theory) 14k10 01 natural sciences Mathematics - Algebraic Geometry ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0103 physical sciences FOS: Mathematics Number Theory (math.NT) 010307 mathematical physics Isomorphism Isomorphism class 0101 mathematics Algebraic number Abelian group Constant (mathematics) Algebraic Geometry (math.AG) Computer Science::Cryptography and Security Mathematics
Zdroj:	Algebra & Number Theory. 15:711-727
ISSN:	1944-7833 1937-0652
DOI:	10.2140/ant.2021.15.711
Popis:	We show that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map. Our results are motivated by and shed light on a proposed construction of a cryptographic protocol for multiparty non-interactive key exchange. Comment: 16 pages, to appear in Algebra and Number Theory
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32b6b9158221cacb752b772922dab93d https://doi.org/10.2140/ant.2021.15.711 Zobrazit plný text záznamu