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

Published by De Gruyter 2005

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

Edited by: Ciro Ciliberto , Anthony V. Geramita , Brian Harbourne , Rosa Maria Miró-Roig and Kristian Ranestad

In the series De Gruyter Proceedings in Mathematics

https://doi.org/10.1515/9783110199703

Overview
Contents

About this book

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.

Author / Editor information

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.

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	i
Contents Requires Authentication Unlicensed Licensed Download PDF	vii
Characterization of Veronese varieties via projection in Grassmannians E. Arrondo and R. Paoletti Requires Authentication Unlicensed Licensed Download PDF	1
Birational geometry of defective varieties E. Ballico and C. Fontanari Requires Authentication Unlicensed Licensed Download PDF	13
Fano threefolds as hyperplane sections M. Beltrametti and M.L. Fania Requires Authentication Unlicensed Licensed Download PDF	19
Triple points imposing triple divisors and the defective hierarchy C. Bocci and L. Chiantini Requires Authentication Unlicensed Licensed Download PDF	35
M15 is rationally connected A. Bruno and A. Verra Requires Authentication Unlicensed Licensed Download PDF	51
Codimension one decompositions and Chow varieties E. Carlini Requires Authentication Unlicensed Licensed Download PDF	67
Higher secant varieties of Segre-Veronese varieties M.V. Catalisano, A.V. Geramita and A. Gimigliano Requires Authentication Unlicensed Licensed Download PDF	81
An appendix to a paper of Catalisano, Geramita, Gimigliano: The Hilbert function of generic sets of 2-fat points in P1 × P1 A. Tuyl Requires Authentication Unlicensed Licensed Download PDF	109
The 3-cuspidal quartic and braid monodromy of degree 4 coverings F. Catanese and B. Wajnryb Requires Authentication Unlicensed Licensed Download PDF	113
On the classification of defective threefolds L. Chiantini and C. Ciliberto Requires Authentication Unlicensed Licensed Download PDF	131
Matching conditions for degenerating plane curves and applications C. Ciliberto and R. Miranda Requires Authentication Unlicensed Licensed Download PDF	177
Negative curves on very general blow-ups of P2 T. Fernex Requires Authentication Unlicensed Licensed Download PDF	199
Linear congruences and hyperbolic systems of conservation laws P. Poi and E. Mezzetti Requires Authentication Unlicensed Licensed Download PDF	209
A note on the very ampleness of complete linear systems on blowings-up of P3 C. Volder and A. Laface Requires Authentication Unlicensed Licensed Download PDF	231
Phylogenetic algebraic geometry N. Eriksson, K. Ranestad, B. Sturmfels and S. Sullivan Requires Authentication Unlicensed Licensed Download PDF	237
Some results on fat points whose support is a complete intersection minus a point E. Guardo and A. Tuyl Requires Authentication Unlicensed Licensed Download PDF	257
The (unexpected) importance of knowing α B. Harbourne Requires Authentication Unlicensed Licensed Download PDF	267
Hilbert functions of Gorenstein algebras associated to a pencil of forms A. Iarrobino Requires Authentication Unlicensed Licensed Download PDF	273
Varieties of reductions for gln A. Iliev and L. Manivel Requires Authentication Unlicensed Licensed Download PDF	287
Birational geometry of rationally connected manifolds via quasi-lines P. Ionescu Requires Authentication Unlicensed Licensed Download PDF	317
On the discriminant of spanned line bundles A. Lanteri and R. Muñoz Requires Authentication Unlicensed Licensed Download PDF	337
Multisecant lines to projective varieties A. Noma Requires Authentication Unlicensed Licensed Download PDF	349
Cycle map on Hilbert schemes of nodal curves Z. Ran Requires Authentication Unlicensed Licensed Download PDF	361
Backmatter Requires Authentication Unlicensed Licensed Download PDF	379

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Research Mathematicians; Academic Libraries
Pages
- Front matter: 8
- Main content: 392
Keywords: Algebraic Varieties; Geometry; Projective

eBook

Published: August 22, 2008
ISBN: 9783110199703

Hardcover

Published: November 16, 2005
ISBN: 9783110181609