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Lines on projective hypersurfaces
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Roya Beheshti
Published/Copyright:
May 4, 2006
Abstract
We study the Hilbert scheme of lines on hypersurfaces in the projective space. The main result is that for a smooth Fano hypersurface of degree at most 6 over an algebraically closed field of characteristic zero, the Hilbert scheme of lines has always the expected dimension.
Received: 2004-06-22
Accepted: 2005-01-24
Published Online: 2006-05-04
Published in Print: 2006-03-24
© Walter de Gruyter
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Articles in the same Issue
- Lines on projective hypersurfaces
- Almost isomorphism for countable state Markov shifts
- Inhomogeneous and Euclidean spectra of number fields with unit rank strictly greater than 1
- On the growth rate of the tunnel number of knots
- Signature homology
- On the structure of cofree Hopf algebras
- Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian
- κ-types and Γ-asymptotic expansions
