A group-action Szemerédi-Trotter theorem is proved over arbitrary fields, yielding quantitative orchard-problem bounds for collinear triples on reducible cubic surfaces and quadrics.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2024 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
A group-action Szemer\'edi-Trotter theorem and applications to orchard problems in all characteristics
A group-action Szemerédi-Trotter theorem is proved over arbitrary fields, yielding quantitative orchard-problem bounds for collinear triples on reducible cubic surfaces and quadrics.