Data di Pubblicazione:
2019
Citazione:
Effective algebraic integration in bounded genus / J. Pereira, R. Svaldi. - 6:4(2019), pp. 454-485. [10.14231/AG-2019-021]
Abstract:
We introduce and study birational invariants for foliations on projective surfaces built from the adjoint linear series of positive powers of the canonical bundle of the foliation. We apply the results to investigate the effective algebraic integration of foliations on the projective plane. In particular, we describe the Zariski closure of the set Sigma(d,g) of foliations on P-2 of degree d admitting rational first integrals with fibers having geometric genus bounded by g.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
holomorphic foliations; effective algebraic integration; degree of invariant algebraic curves
Elenco autori:
J. Pereira, R. Svaldi
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