https://hal.inria.fr/hal-01829959Markwig, HannahHannahMarkwigCRC - Courant Research Centre "Higher Order Structures"Mourrain, BernardBernardMourrainAROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes - CRISAM - Inria Sophia Antipolis - Méditerranée - Inria - Institut National de Recherche en Informatique et en Automatique - NKUA - National and Kapodistrian University of AthensOttaviani, GiorgioGiorgioOttavianiDiMal - Dipartimento di Matematica e Informatica [Firenze] - UniFI - Università degli Studi di Firenze = University of FlorenceSpecial issue of JSC on the occasion of MEGA 2017HAL CCSD2018[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG][MATH.MATH-AC] Mathematics [math]/Commutative Algebra [math.AC]Monteil, Alain2018-07-04 14:23:272023-03-16 04:10:302018-07-04 14:23:48enProceedingshttps://hal.inria.fr/hal-01829959/document10.1016/j.jsc.2018.05.001application/pdf1This volume collects the papers presented in the occasion of the MEGA (EffectiveMethods in Algebraic Geometry) conference held in Nice (France) from June 12thto 16th, 2017. The volume was open to original research contributions presentedin the Conference and also to further contributions.According to the MEGA tradition, Algebraic Geometry is interpreted broadly,including, among other topics, symbolic computations, commutative algebra, polynomialoptimization, combinatorial techniques, tropical geometry and applications.The papers in this volume can be divided along the following themesEffective methods in commutative algebra, Hilbert functions, monomial ideals:papers 1-3;Projective Geometry and Singularities, Vector bundles on Projective Spaces:papers 4-6;Tropical Geometry, Combinatorics of Polyhedra and its use in Optimization problems:papers 7-10;Real solutions to polynomial equations: papers 11-12.We conclude this foreword with a very brief discussion of each of the papers.