For smooth hypersurfaces X of degree d in P^{n-1} with n > 2d(d-1)(de+1), the moduli space of degree-e maps P^2 to X is irreducible of expected dimension.
Brandes, Forms representing forms and linear spaces on hypersurfaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Rational surfaces on low degree hypersurfaces
For smooth hypersurfaces X of degree d in P^{n-1} with n > 2d(d-1)(de+1), the moduli space of degree-e maps P^2 to X is irreducible of expected dimension.