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The conference MEGA 2019 took place at Universidad Complutense de Madrid (Madrid, Spain) in June 17-21, 2019. In the organization of the conference, the following universities and research institutes were involved:

  • Universidad Complutense de Madrid
  • Universidad de Barcelona
  • Universidad de Alcalá
  • Universidad Politécnica de Madrid
  • Instituto de Matemática Interdisciplinar

MEGA is the acronym for Effective Methods in Algebraic Geometry (and its equivalent in Italian, French, Spanish, German, Russian, etc.). This series of biennial international conferences, with the tradition dating back to 1990, is devoted to computational and application aspects of Algebraic Geometry and related topics, over any characteristics.

Here are the papers accepted for publication after the conference.

FOREWORD: SPECIAL ISSUE OF JSC ON THE OCCASION OF MEGA 2019
Alessandra Bernardi, Carlos D'Andrea, Thorsten Theobald

 

 

Quartic monoid surfaces with maximum number of lines
Mauro Beltrametti, Alessandro Logar, Maria-Laura Torrente

 
Computing integral bases via localization and Hensel lifting
Janko Böhm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister
 
Computing representation matrices for the Frobenius on cohomology groups
Momonari Kudo
 
COMPUTING QUOTIENTS BY CONNECTED SOLVABLE GROUPS
Gregor Kemper
 
INITIAL STEPS IN THE CLASSIFICATION OF MAXIMAL MEDIATED SETS
Jacob Hartzer, Olivia Röhrig, Timo de Wolff, Oguzhan Yürük
 
CERTIFICATION FOR POLYNOMIAL SYSTEMS VIA SQUARE SUBSYSTEMS
Timothy Duff, Nickolas Hein, Frank Sottile
 
ON CERTAIN POLYNOMIAL SYSTEMS INVOLVING STIRLING NUMBERS OF SECOND KIND
Francisco-Jesús Castro-Jiménez, Helena Cobo Pablos
 
MEASURING THE LOCAL NON-CONVEXITY OF REAL ALGEBRAIC CURVES
Miruna-Stefana Sorea
 
Saturations of Subalgebras, SAGBI Bases, and U-invariants
Anna Bigatti, Lorenzo Robbiano
 
Autocovariance Varieties of Moving Average Random Fields
Carlos Amendola, Viet Pham
 
Unexpected hypersurfaces with multiple fat points
Justyna Szpond
 
Stronger bounds on the cost of computing Gröbner bases for HFE systems
Elisa Gorla, Daniela Mueller, Christophe Petit
 
CATALECTICANT INTERSECTIONS AND CONFINEMENT OF DECOMPOSITIONS OF FORMS
Elena Angelini, Cristiano Bocci, Luca Chiantini
 
STRICT INCLUSIONS OF HIGH RANK LOCI
Edoardo Ballico, Alessandra Bernardi, Emanuele Ventura
 
Voronoi Cells of Varieties
Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels, Madeleine Weinstein
 
ON A TROPICAL VERSION OF THE JACOBIAN CONJECTURE
Dima Grigoriev, Danylo Radchenko
 
A new general formula for the Cauchy Index on an interval with Subresultants
Daniel Perrucci, Marie-Françoise Roy