Cutting diagram method for systems of plane curves with base points
Marcin Dumnicki
Annales Polonici Mathematici, Tome 92 (2007), p. 131-143 / Harvested from The Polish Digital Mathematics Library
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We develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne conjecture holds for systems with base points of equal multiplicity bounded by 42.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:280446 
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     title = {Cutting diagram method for systems of plane curves with base points},
     journal = {Annales Polonici Mathematici},
     volume = {92},
     year = {2007},
     pages = {131-143},
     zbl = {1107.14007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap90-2-3}
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Marcin Dumnicki. Cutting diagram method for systems of plane curves with base points. Annales Polonici Mathematici, Tome 92 (2007) pp. 131-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap90-2-3/