Osculating varieties and their joins: $\mathbb{P}^1\times \mathbb{P}^1$
| Autor: | Edoardo Ballico |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Cubo, Vol 25, Iss 2, Pp 331-347 (2023) |
| Druh dokumentu: | article |
| ISSN: | 0719-0646 0716-7776 |
| DOI: | 10.56754/0719-0646.2502.331 |
| Popis: | Let $X\subset \PP^r$ be an integral projective variety. We study the dimensions of the joins of several copies of the osculating varieties $J(X,m)$ of $X$. Our methods are general, but we give a full description in all cases only if $X$ is a linearly normal embedding of $\PP^1\times \PP^1$. For these embeddings of $\PP^1\times \PP^1$ we give several examples and then study the joins of one copy of $J(X,m)$ and an arbitrary number of copies of $X$. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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