Ciliberto / Geramita / Ciro/ Geramita Projective Varieties with Unexpected Properties

A Volume in Memory of Giuseppe Veronese. Proceedings of the international conference ‘Varieties with Unexpected Properties’, Siena, Italy, June 8—13, 2004
1. Auflage 2008
ISBN: 978-3-11-019970-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 400 Seiten

Reihe: ISSN

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.

Zielgruppe

Research Mathematicians; Academic Libraries

Autoren/Hrsg.

Ciliberto,

Kristian,

Ciliberto, Ciro

Geramita, Antony V.

Geramita, Anthony V.

Harbourne, Brian

Miró-Roig, Rosa Maria

Ranestad, Kristian

Fachgebiete

• Geisteswissenschaften Sprachwissenschaft Sprachwissenschaften
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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

Über Autor(innen)

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.