Geometria delle Varietà Algebriche
Dedicated to Alberto Conte on his 70th birthday
Torino, 21-23 March 2012

Abel maps and limit linear series
Eduardo Esteves (IMPA Rio de Janeiro)


We explore the relationship between limit linear series and fibers
of Abel maps in the case of curves with two smooth components
glued at a single node. To an r-dimensional limit linear series
satisfying a certain exactness property (weaker than the refinedness
property of Eisenbud and Harris) we associate a closed subscheme
of the appropriate fiber of the Abel map. We then describe this
closed subscheme explicitly, computing its Hilbert polynomial
and showing that it is Cohen-Macaulay of pure dimension r.
We show that this construction is also compatible with
one-parameter smoothings.
Joint work with Brian Osserman (Davis, USA)



Titles and abstracts
Marco Andreatta (Università di Trento),
Minimal Model Program and Adjunction Theory
 Arnaud Beauville (Université de Nice)
One more counter-example to the Lüroth problem.		 Ciro Ciliberto (Università di Tor Vergata)
Gonality of nodal curves on general K3 surfaces
Eduardo Esteves (IMPA Rio de Janeiro)
Abel maps and limit linear series 		Gavril Farkas (Humboldt-Universität zu Berlin)
The geometry of higher genus generalization of modular curves		 Livia Giacardi (Università di Torino)
The Italian School of Algebraic Geometry and Mathematics
Teaching in Secondary Schools. Methodological
Approaches and Institutional and Publishing Initiatives.
Mirella Manaresi (Università di Bologna)
Self Intersections of curves and surfaces and some classical formulas 		Massimiliano Mella (Università di Ferrara)
Unirational varieties (a Centennial account) 		Jacob Murre (Universiteit Leiden)
On the joint work of Alberto Conte and myself.
Rita Pardini (Università di Pisa)
Brill-Noether loci of divisors on irregular varieties		 Claudio Pedrini (Università di Genova)
Derived Categories of K3 surfaces and a conjecture of Orlov 		Christian Peters (Université de Grenoble)
A generalization of the Weil jacobian; from even cohomology to K-groups
Gaetana Restuccia (Università di Messina)
Graded modules generated by s-sequences 		Lorenzo Robbiano (Università di Genova)
Approximate Commutative Algebra: what does it mean? 		Simon Salamon, (King's College, Londra)
Algebraic surfaces from the twistor point of view
Bert van Geemen (Università di Milano)
The Geometry and Arithmetic of Maschke's Calabi-Yau threefold 		Alessandro Verra (Università Roma Tre)
Conic bundles in Torino in the seventies of last century

 
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Comitato Organizzatore: Alberto Albano, Elisabetta Ambrogio, Ernesto Buzano, Giuseppe Ceresa, Federica Galluzzi, Marina Marchisio, Claudio Pedrini, Daniela Romagnoli, Alessandro Verra, Giuseppe Vigna Suria