65203 driver artpubuab oai:ddd.uab.cat:65203 doi 10.5565/PUBLMAT_55111_08 eng Falla Luza, M. On the density of second order differential equations without algebraic solutions on mathbb{P}^2 We prove that a generic second order diferential equation in the projective plane has no algebraic solutions when the bidegree is big enough. We also prove an analogous result for webs on P2. Tots els drets reservats http://www.europeana.eu/rights/rr-f/ Article de fons info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Vol. 55, Núm. 1 ( 2011), p. 163-183 Publicacions Matemàtiques 0214-1493 21 396492 http://ddd.uab.cat/uab/pubmat/02141493v55n1p163.pdf 0163 183 1 55 02141493v55n1 2011 ARTPUB UAB DDD id 65203 filename 02141493v55n1p163.pdf file 0 MD5 5b7a2ee3db6e42ff115ebc1c71ee49b4 396492 PDF 1.6 filepath uab/pubmat/02141493v55n1p163.pdf disk