Laurent Busé received his PhD degree in Mathematics at the Université of Nice - Sophia Antipolis in 2001 and he is currently a senior researcher at the Inria research center of Université Côte d'Azur. His main research interests focus on computational methods in algebraic geometry and commutative algebra, more specifically on elimination theory, the geometry of algebraic curves and surfaces and their applications in the fields of geometric modeling and geometry processing.

Fabrizio Catanese studied at the Universita' di Pisa and Scuola Normale Superiore 1968-1974, held the Chair of Geometry 1980-1997 in Pisa, the Gauss Chair of Complex Analysis in Goettingen, 1997-2001, then has been professor in Bayreuth since 2001. He is Research Scholar at the Korean Institute for Advanced Study and member of the Accademia Nazionale dei Lincei, the Goettingen Academy, the Academia Europaea. He has been visiting professor at many international Universities and research centres.

Elisa Postinghel received her PhD in Mathematics from the University Roma Tre in 2010. She was a lecturer at Loughborough University between 2016 and 2020 and she is currently a senior researcher at the University of Trento. Her research work is in algebraic geometry; her main interests span classical topics such as polynomial interpolation problems on higher dimensional varieties as well as birational geometry and positivity properties of divisors and curves on Mori dream spaces.

Offers a unique perspective on the theory of algebraic curves and surfaces, and of linear systems of hypersurfaces

The classification of algebraic surfaces is given with full treatment of the P_{12}-theorem by Castelnuovo and Enriques

Classical and modern methods from computational algebraic geometry are shown with applications in geometric modeling