A compactification of the space of twisted cubics

I. Vainsencher, F. Xavier

Abstract


We give an elementary, explicit smooth compactification of a parameter space for the family of twisted cubics. The construction also applies to the family of subschemes defined by determinantal nets of quadrics, e.g., cubic ruled surfaces in $\boldsymbol P^4$, Segre varieties in $\boldsymbol P^5$. It is suitable for applications of Bott's formula to a few enumerative problems.

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DOI: http://dx.doi.org/10.7146/math.scand.a-14387

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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