Effective algebraic integration in bounded genus
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Publication:5204035
DOI10.14231/AG-2019-021zbMATH Open1461.37049arXiv1612.06932OpenAlexW2584364135WikidataQ127827463 ScholiaQ127827463MaRDI QIDQ5204035
Author name not available (Why is that?)
Publication date: 9 December 2019
Published in: (Search for Journal in Brave)
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 in order to investigate the effective algebraic integration of foliations on the projective plane. In particular, we describe the Zariski closure of the set of foliations on the projective plane of degree d admitting rational first integrals with fibers having geometric genus bounded by g.
Full work available at URL: https://arxiv.org/abs/1612.06932
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