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Multisecant lines to projective varieties
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Chapters in this book
- Frontmatter i
- Contents vii
- Characterization of Veronese varieties via projection in Grassmannians 1
- Birational geometry of defective varieties 13
- Fano threefolds as hyperplane sections 19
- Triple points imposing triple divisors and the defective hierarchy 35
- M15 is rationally connected 51
- Codimension one decompositions and Chow varieties 67
- Higher secant varieties of Segre-Veronese varieties 81
- An appendix to a paper of Catalisano, Geramita, Gimigliano: The Hilbert function of generic sets of 2-fat points in P1 × P1 109
- The 3-cuspidal quartic and braid monodromy of degree 4 coverings 113
- On the classification of defective threefolds 131
- Matching conditions for degenerating plane curves and applications 177
- Negative curves on very general blow-ups of P2 199
- Linear congruences and hyperbolic systems of conservation laws 209
- A note on the very ampleness of complete linear systems on blowings-up of P3 231
- Phylogenetic algebraic geometry 237
- Some results on fat points whose support is a complete intersection minus a point 257
- The (unexpected) importance of knowing α 267
- Hilbert functions of Gorenstein algebras associated to a pencil of forms 273
- Varieties of reductions for gln 287
- Birational geometry of rationally connected manifolds via quasi-lines 317
- On the discriminant of spanned line bundles 337
- Multisecant lines to projective varieties 349
- Cycle map on Hilbert schemes of nodal curves 361
- Backmatter 379
Chapters in this book
- Frontmatter i
- Contents vii
- Characterization of Veronese varieties via projection in Grassmannians 1
- Birational geometry of defective varieties 13
- Fano threefolds as hyperplane sections 19
- Triple points imposing triple divisors and the defective hierarchy 35
- M15 is rationally connected 51
- Codimension one decompositions and Chow varieties 67
- Higher secant varieties of Segre-Veronese varieties 81
- An appendix to a paper of Catalisano, Geramita, Gimigliano: The Hilbert function of generic sets of 2-fat points in P1 × P1 109
- The 3-cuspidal quartic and braid monodromy of degree 4 coverings 113
- On the classification of defective threefolds 131
- Matching conditions for degenerating plane curves and applications 177
- Negative curves on very general blow-ups of P2 199
- Linear congruences and hyperbolic systems of conservation laws 209
- A note on the very ampleness of complete linear systems on blowings-up of P3 231
- Phylogenetic algebraic geometry 237
- Some results on fat points whose support is a complete intersection minus a point 257
- The (unexpected) importance of knowing α 267
- Hilbert functions of Gorenstein algebras associated to a pencil of forms 273
- Varieties of reductions for gln 287
- Birational geometry of rationally connected manifolds via quasi-lines 317
- On the discriminant of spanned line bundles 337
- Multisecant lines to projective varieties 349
- Cycle map on Hilbert schemes of nodal curves 361
- Backmatter 379