Over Q, degree 3 polynomial invariants separate orbits of C_p representations; a new Galois-descent condition yields analogous degree bounds for abelian groups over non-closed fields.
Mapping toric varieties into low dimensional spaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
A smooth $d$-dimensional projective variety $X$ can always be embedded into $2d+1$-dimensional space. In contrast, a singular variety may require an arbitrary large ambient space. If we relax our requirement and ask only that the map is injective, then any $d$-dimensional projective variety can be mapped injectively to $2d+1$-dimensional projective space. A natural question then arises: what is the minimal $m$ such that a projective variety can be mapped injectively to $m$-dimensional projective space? In this paper we investigate this question for normal toric varieties, with our most complete results being for Segre-Veronese varieties.
citation-role summary
background 1
citation-polarity summary
fields
math.AC 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Separating polynomial invariants over non-closed fields of finite abelian groups
Over Q, degree 3 polynomial invariants separate orbits of C_p representations; a new Galois-descent condition yields analogous degree bounds for abelian groups over non-closed fields.