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Projective Varieties with Unexpected Properties (eBook)

A Volume in Memory of Giuseppe Veronese. Proceedings of the international conference ‘Varieties with Unexpected Properties’, Siena, Italy, June 8—13, 2004
eBook Download: PDF
2005
400 Seiten
De Gruyter (Verlag)
978-3-11-019970-3 (ISBN)

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This volume contains refereed papers related to the lectures and talks given at a conference held in Siena (Italy) in June 2004. Also included are research papers that grew out of discussions among the participants and their collaborators. All the papers are research papers, but some of them also contain expository sections which aim to update the state of the art on the classical subject of special projective varieties and their applications and new trends like phylogenetic algebraic geometry.

The topic of secant varieties and the classification of defective varieties is central and ubiquitous in this volume. Besides the intrinsic interest of the subject, it turns out that it is also relevant in other fields of mathematics like expressions of polynomials as sums of powers, polynomial interpolation, rank tensor computations, Bayesian networks, algebraic statistics and number theory.



Ciro Ciliberto is Professor in Geometria Superiore at the University of Roma 'Tor Vergata', Italy.

Antony V. Geramita is Professor at the Department of Mathematics and Statistics, Queen's University, Kingston, Canada, and Professore Ordinario at the Dipartimento di Matematica, University of Genova, Italy.

Brian Harbourne is Professor at the Department of Mathematics, University of Nebraska, Lincoln, USA.

Rosa Maria Miró-Roig is Professor at the Faculty of Mathematics, University of Barcelona, Spain.

Kristian Ranestad is Professor at the Mathematical Institute, University of Oslo, Norway.

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Ciro Ciliberto is Professor in Geometria Superiore at the University of Roma ‘Tor Vergata’, Italy.

Antony V. Geramita is Professor at the Department of Mathematics and Statistics, Queen’s University, Kingston, Canada, and Professore Ordinario at the Dipartimento di Matematica, University of Genova, Italy.

Brian Harbourne is Professor at the Department of Mathematics, University of Nebraska, Lincoln, USA.

Rosa Maria Miró-Roig is Professor at the Faculty of Mathematics, University of Barcelona, Spain.

Kristian Ranestad is Professor at the Mathematical Institute, University of Oslo, Norway.

Frontmatter 1
Contents 7
Characterization of Veronese varieties via projection in Grassmannians 9
Birational geometry of defective varieties 21
Fano threefolds as hyperplane sections 27
Triple points imposing triple divisors and the defective hierarchy 43
M15 is rationally connected 59
Codimension one decompositions and Chow varieties 75
Higher secant varieties of Segre-Veronese varieties 89
An appendix to a paper of Catalisano, Geramita, Gimigliano: The Hilbert function of generic sets of 2-fat points in P1 × P1 117
The 3-cuspidal quartic and braid monodromy of degree 4 coverings 121
On the classification of defective threefolds 139
Matching conditions for degenerating plane curves and applications 185
Negative curves on very general blow-ups of P2 207
Linear congruences and hyperbolic systems of conservation laws 217
A note on the very ampleness of complete linear systems on blowings-up of P3 239
Phylogenetic algebraic geometry 245
Some results on fat points whose support is a complete intersection minus a point 265
The (unexpected) importance of knowing a 275
Hilbert functions of Gorenstein algebras associated to a pencil of forms 281
Varieties of reductions for gln 295
Birational geometry of rationally connected manifolds via quasi-lines 325
On the discriminant of spanned line bundles 345
Multisecant lines to projective varieties 357
Cycle map on Hilbert schemes of nodal curves 369
Backmatter 387

Erscheint lt. Verlag 22.8.2008
Reihe/Serie De Gruyter Proceedings in Mathematics
De Gruyter Proceedings in Mathematics
ISSN
Verlagsort Berlin/Boston
Sprache englisch
Themenwelt Geisteswissenschaften Sprach- / Literaturwissenschaft Sprachwissenschaft
Mathematik / Informatik Mathematik
Technik
Schlagworte Algebraic Varieties • Algebraic Varieties; Geometry, Projective • Algebraische Geometrie • Algebraische Zahlentheorie • Geometry • Geometry, Projective • Polynom • PROJECTIVE • Projektive Varietäten • Statistik
ISBN-10 3-11-019970-X / 311019970X
ISBN-13 978-3-11-019970-3 / 9783110199703
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