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

Brill-Noether loci of divisors on irregular varieties
Rita Pardini (Università di Pisa)

I will report on recent joint work with Margarida Mendes Lopes and Gian Pietro Pirola.

Given a nonnegative integer r, a smooth projective variety X and a line bundle L on X one considers the r-th Brill-Noether locus W r(L,X), namely the set of line bundles P∈ Pic0(X) such that h0(LP)>r. When X is a surface without irrational pencils and L is effective, we introduce a Brill-Noether number and prove an existence theorem for W r(L,X) analogous to the classical one for linear series on smooth projective curves. As an application, we derive numerical inequalities for curves that do not move linearly on irregular surfaces.



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

 
Home    Titles and abstracts    Schedule     Information     Registration




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