For every n≥6, we give an example of a finite subset of P2 of degree n which does not descend to any Brauer–Severi surface over the field of moduli. Conversely, for every n≤5, we prove that a finite subset of degree n always descends to a 0-cycle on P2 over the field of moduli.
The field of moduli of sets of points in P2
Bresciani, Giulio
2024
Abstract
For every n≥6, we give an example of a finite subset of P2 of degree n which does not descend to any Brauer–Severi surface over the field of moduli. Conversely, for every n≤5, we prove that a finite subset of degree n always descends to a 0-cycle on P2 over the field of moduli.File in questo prodotto:
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Bresciani - The field of moduli of sets of points in P2.pdf
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