Johannes Gmainer

most citedA Dimension Formula for the Nucleus of a Veronese Variety

6 citations · 6 across the 3 of their papers we have counts for

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math.AG2013

Isometries and Collineations of the Cayley Surface

Johannes Gmainer, Hans Havlicek

Let $F$ be Cayley's ruled cubic surface in a projective three-space over any commutative field $K$ . We determine all collineations fixing $F$ , as a set, and all cubic forms definin…

math.AG2013★ 6 cited

A Dimension Formula for the Nucleus of a Veronese Variety

Johannes Gmainer, Hans Havlicek

The nucleus of a Veronese variety is the intersection of all its osculating hyperplanes. Various authors have given necessary and sufficient conditions for the nucleus to be empty.…

math.AG2013

Nuclei of Normal Rational Curves

Johannes Gmainer, Hans Havlicek

A $k$ -nucleus of a normal rational curve in PG $(n, F)$ is the intersection over all $k$ -dimensional osculating subspaces of the curve ( $k \in {- 1, 0, ..., n - 1}$ ). It is well known that…