25 citations · 76 across the 15 of their papers we have counts for
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math.AG2011★ 1 cited
Prym-Tjurin Constructions on Cubic Hypersurfaces
Mingmin Shen
In this paper, we give a Prym-Tjurin construction for the cohomology and the Chow groups for a cubic hypersurface. On the space of lines meeting a given rational curve, there is th…
math.AG2011★ 1 cited
Rational curves on Fermat hypersurfaces
Mingmin Shen
In this note we study rational curves on degree Fermat hypersurface in $\PP^{p^r+1}_k$, where is an algebraically closed field of characteristic . The key point is t…
math.AG2011★ 1 cited
On relations among 1-cycles on cubic hypersurfaces
Mingmin Shen
In this paper we give two explicit relations among 1-cycles modulo rational equivalence on a smooth cubic hypersurfaces . Such a relation is given in terms of a (pair of) curve(…