SCHOOL (AND WORKSHOP) ON

ALGEBRAIC SPACE CURVES

TORINO, SEPTEMBER 23 - 27, 2002




Third announcement


Lecturers.

R. Hartshorne (University of California, Berkeley, USA)
M. Martin-Deschamps (Université de Versailles, Fr)

Organizers.
The School/Workshop is organized by G. Casnati, N. Chiarli, S. Greco, R. Notari, M.L. Spreafico. For contacting the organizers please send a mail to

geometri [nospam] calvino.polito.it

The School/Workshop is supported by GNSAGA-INdAM, by the Project "Geometry on Algebraic Varieties" cofinanced by Italian MIUR and the Universities of Torino-Politecnico, Trieste, Milano and by EAGER.

General informations on the School.
The school will take place at

Dipartimento di Matematica
Politecnico di Torino
c.so Duca degli Abruzzi 24
10129 Torino - Italy

It is mainly aimed to Phd students and young researchers in Algebraic Geometry.
Arrival day is September 22nd. The School will start on Monday the 23rd at 9.30 and it will end on friday the 27th at 13. Each morning from monday to friday both speaker will give a lecture: the first lecture will begin at 9.30 on monday. On monday and thursday afternoon there will be two extra lectures given by I. Sabadini and E. Schlesinger (Politecnico di Milano).

Aim of the School.
This course will aim to cover the basic known results, and also touch on open problems, in the area of classification of algebraic curves in a projective n-space. We will discuss the possible degree and genus of curves, the Hilbert scheme, and the irreducibility of certain components. The theory of liaison is a major tool. Here we discuss the relation of the Rao module to liaison equivalence classes, minimal curves and the structure of a biliaison class, and the irreducibility of the family of curves with given postulation and Rao module. The best results are obtained in projective 3-space, while analogous results in higher dimensions are mostly conjectural.
Some open problems are the connectedness of the Hilbert scheme of locally Cohen-Macaulay curves of given degree and genus in the projective 3-space, and the problem of whether the Rao module characterizes the Gorenstein liaison class in the projective n-space for n>3.

General informations on the Workshop.
We are planning a Workshop on tuesday afternoon and wednesday morning. Experienced people are most welcome. People interested in participating to the Workshop are kindly requested to submit the title and an abstract of their Communication within September 15th to

geometri [nospam] calvino.polito.it

Other organized activities.
We are also planning to have a Poster Session and a Communication Session. Informal discussions are welcome. Interested people are kindly requested to submit the title and an abstract of their Poster and/or Communication within September 15th to

geometri [nospam] calvino.polito.it

The schedule for the Poster session and Communications session will be decided on monday afternoon.

Accomodation.
Possible accomodations (close to Politecnico) are:

Hotel Bologna

**

ph. +39-011-5620290

Hotel Italia

***

ph. +39-011-5620402

Hotel Luxor

***

ph. +39-011-5620777

Hotel Universo

**

ph. +39-011-3852943

Residence S. Paolo

***

ph. +39-011-3853953

We suggest to book a room before the end of August.