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Geometry of the Severi Variety
Transactions of the American Mathematical Society
This paper is concerned with the geometry of the Severi variety W parametrizing plane curves of given degree and genus, and specifically with the relations among various divisor classes on W. Two types of divisor classes on W are described: those that come from the intrinsic geometry of the curves parametrized, and those characterized by extrinsic properties such as the presence of cusps, tacnodes, hyperflexes, etc. The goal of the paper is to express the classes of the extrinsically defineddoi:10.2307/2001156 fatcat:lt6zl5jbavhmhcuoi2b5whosli