Download Liaison, Schottky Problem and Invariant Theory: Remembering by Maria Emilia Alonso, Enrique Arrondo, Raquel Mallavibarrena, PDF

By Maria Emilia Alonso, Enrique Arrondo, Raquel Mallavibarrena, Ignacio Sols

This quantity is a homage to the reminiscence of the Spanish mathematician Federico Gaeta (1923-2007). except a historic presentation of his lifestyles and interplay with the classical Italian institution of algebraic geometry, the amount offers surveys and unique learn papers at the arithmetic he studied. particularly, it's divided into 3 elements: linkage conception, Schottky challenge and invariant conception. in this final subject a hitherto unpublished article via Federico Gaeta can also be integrated.

Show description

Read or Download Liaison, Schottky Problem and Invariant Theory: Remembering Federico Gaeta PDF

Similar algebraic geometry books

Quadratic and hermitian forms over rings

This publication provides the idea of quadratic and hermitian types over jewelry in a really basic environment. It avoids, so far as attainable, any limit at the attribute and takes complete benefit of the functorial homes of the speculation. it isn't an encyclopedic survey. It stresses the algebraic points of the speculation and avoids - in all fairness overlapping with different books on quadratic varieties (like these of Lam, Milnor-Husemöller and Scharlau).

Liaison, Schottky Problem and Invariant Theory: Remembering Federico Gaeta

This quantity is a homage to the reminiscence of the Spanish mathematician Federico Gaeta (1923-2007). except a ancient presentation of his lifestyles and interplay with the classical Italian university of algebraic geometry, the amount provides surveys and unique examine papers at the arithmetic he studied.

Automorphisms in Birational and Affine Geometry: Levico Terme, Italy, October 2012

The main target of this quantity is at the challenge of describing the automorphism teams of affine and projective types, a classical topic in algebraic geometry the place, in either situations, the automorphism workforce is frequently endless dimensional. the gathering covers quite a lot of themes and is meant for researchers within the fields of classical algebraic geometry and birational geometry (Cremona teams) in addition to affine geometry with an emphasis on algebraic workforce activities and automorphism teams.

Additional resources for Liaison, Schottky Problem and Invariant Theory: Remembering Federico Gaeta

Sample text

We are led to pose the following question: Question 17. Let Vn−c ⊂ Pn be a matrix variety of codimension c. Can Vn−c be obtained by a chain of complete simple intersections, starting from a complete simple intersection of n − c forms? The answer to the above question as well as to Question 9 is no, in general. In other words, in the classical context of Liaison Theory, Gaeta’s Theorem does not generalize to varieties of higher codimension. See [18] or [19]–[22] for more information. Going on with the problem of classifying space curves, in [13] and [14], F.

To characterize licci curves in P3 ). F. Gaeta solved this problem in a masterly and elegant way; this was a seminal work in Liaison Theory and his most important contribution to this active area of research. Historically Liaison began in the nineteenth century as a tool to study and classify curves in projective spaces and it goes back at least to work of M. Noether, F. S. Macaulay. The initial idea was to start with a curve in P3 and to study its residual in a complete intersection. It turns out that a lot of information can be carried over from a Partially supported by MTM2007-61104.

Franchetta tells me that once Gaeta reported to him about harsh contrasts, for political reasons, with the faculty. Once more I can refer to [41], who, commenting in a footnote upon the heavy atmosphere which at that time reigned at the faculty of Sciences of Zaragoza, says: Hasta en la orla de fin de carrera de mi promoci´ on se aprecia el desastre. Figuran en la ella los Prof. Garc´ıa Atance, Arajuo, I˜ niguez, Rodr´ıguesSalinas, Cabrera, Servera, Liso, Rodr´ıgues Vidal, Burbano y Gaeta, pero este u ´ltimo nos pidi´ o estar lejos de sus colegas, entre los alumnos .

Download PDF sample

Rated 4.80 of 5 – based on 26 votes