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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

:	Ciliberto, Ciro/ Geramita, Antony V./ Harbourne, Brian/ Ranestad, Kristian
:	Ciro Ciliberto, Anthony V. Geramita, Brian Harbourne, Rosa Maria Miró-Roig, Kristian Ranestad
:	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
:	Walter de Gruyter GmbH& Co.KG
:	9783110199703
:	De Gruyter Proceedings in Mathematics
:	1
:	CHF 204.00
:

:	Allgemeine und Vergleichende Sprachwissenschaft
:	English

:	400
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

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 Cilibertois Professor in Geometria Superiore at the University of Roma 'Tor Vergata', Italy.
Ant ny V. Geramitais 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.
Bri n Harbourneis Professor at the Department of Mathematics, University of Nebraska, Lincoln, USA.
Rosa Maria Miró-Roigis Professor at the Faculty of Mathematics, University of Barcelona, Spain.
Kri tian Ranestadis 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