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16

DIMACS
2001

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Enumerative Real Algebraic Geometry

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Enumerative Real Algebraic Geometry

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Let C be a smooth real plane curve. Let c be its degree and g its genus. We assume that C has at least g real branches. Let d be a nonzero natural integer strictly less than c. Let e be a partition of cd of length g. Let n be the number of all real plane curves of degree d that are tangent to g real branches of C with orders of tangency e1; . . . ; eg. We show that n is finite and we determine n explicitly. Key words. Enumerative geometry, real algebraic curve, real branch, M-curve,

Frank Sottile

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Added	31 Oct 2010
Updated	31 Oct 2010
Type	Conference
Year	2001
Where	DIMACS
Authors	Frank Sottile

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