REVIEW 2 cited by
Automorphisms of quartic del Pezzo surfaces in characteristic zero
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
For each field $k$ of characteristic zero, we classify which groups act by automorphisms on a quartic del Pezzo surface over $k$. We also determine which groups act on $k$-rational, stably $k$-rational, or $k$-unirational quartic del Pezzo surfaces. For each group $G$ that is realized over $k$, we exhibit explicit equations for a quartic del Pezzo surface $X$ in $\mathbb{P}^4_k$ such that $G$ acts by automorphisms on $X$.
Forward citations
Cited by 2 Pith papers
-
Representations of finite subgroups of Cremona groups
The minimal dimension of a faithful linear representation of all finite subgroups of the two-dimensional Cremona group is 8 when the field contains a primitive cube root of unity, 6 otherwise, and infinite in positive...
-
Birational Geometry of sextic del Pezzo surfaces
Degree 6 del Pezzo surfaces over perfect fields are classified biregularly and birationally, and are shown to be the only solid surfaces admitting infinite pliability, with explicit presentations for their birational ...
Discussion (0). Continue with ORCID to comment.