Higher order dual varieties of generically k -regular surfaces

Autor:	Antonio Lanteri, Raquel Mallavibarrena
Rok vydání:	2000
Předmět:	Combinatorics Surface (mathematics) Algebra Conjecture General Mathematics Dimension (graph theory) Order (ring theory) Variety (universal algebra) Algebra over a field Veronese surface Dual (category theory) Mathematics
Zdroj:	Archiv der Mathematik. 75:75-80
ISSN:	1420-8938 0003-889X
Popis:	We prove that, if a smooth complex projective surface \(S \subset \Bbb P^N\) is k-regular, then its k-th order dual variety has the expected dimension, except if S is the k-th Veronese surface. This answers positively a conjecture stated in a previous paper.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7acf98c4d21ca290243aa557c475746c https://doi.org/10.1007/s000130050476 Zobrazit plný text záznamu Full text from SpringerLink