Joaquim Roé

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Joaquim Roé Departament de Matemàtiques Facultat de Ciències, C1/308 Universitat Autonòma de Barcelona 08193 Bellaterra (Barcelona) Spain

Tel: (34) 93 581 45 45 FAX: (34) 93 581 27 90 web: http://www.mat.uab.cat/~jroe

Classes, curs 2011-2012

Semestre de tardor

• Fonaments de les Matemàtiques
• Àlgebra Commutativa
• Àlgebra (Informàtica)

Preprints

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• Recent developments and open problems in linear series (amb Thomas Bauer, Cristiano Bocci, Susan Cooper, Sandra Di Rocco, Marcin Dumnicki, Brian Harbourne, Kelly Jabbusch, Andreas Leopold Knutsen, Alex Kuronya, Rick Miranda, Hal Schenck, Tomasz Szemberg, i Zach Teitler).
• Involutions on a tropical line.
• Limit linear systems and applications.

Articles

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• Iterated inverse images of plane curve singularities (amb E. Casas-Alvero). Apareixerà a Acta Math. Sinica
• The Geometry of the Real Planar Polynomial Differential Systems having their Orbits Imbedded in Conics (amb J. Llibre i A. Mahdi). Dynamical Systems, 26:3 (2011) 287-321
• Emptyness of homogeneous linear systems with ten general base points (amb C. Ciliberto, O. Dumitrescu i R. Miranda). A "Classification of algebraic varieties-Schiermonnikoog 2009" C. Faber, G. van der Geer, E. Looijenga editors; EMS Series of Congress Reports (2011) 189-195.
• Computing multi-point Seshadri constants on P² (amb B. Harbourne). Bulletin of the Belgian Mathematical Society - Simon Stevin 16 (2009), 616-627.
• An inequality between multipoint Seshadri constants (amb J. Ross). Geometriae Dedicata 140 (2009), 175–181
• Discrete Behavior of Seshadri Constants on Surfaces (amb B. Harbourne). J. Pure Appl. Alg 212 (2008), 616-627
• Maximal rank for planar singularities of multiplicity 2. Correccions sobre la versió publicada a J. Alg. 302 (2006), 37-54.
• Enriques diagrams and adjacency of planar curve singularities (amb M. Alberich). Canad. J. Math. 57 (2005), 3-16.
• Multipoint Seshadri constants on P² (amb B. Harbourne). Rend. Sem. Mat. Univ. Politec. Torino 63 (2005), 99-102.
• A relation between one-point and multi-point Seshadri constants. J. Alg. 274 (2004), 643-651.
• Varieties of clusters and Enriques diagrams. Math. Proc. Cambridge Philos. Soc. 137 (2004), 69-94.
• On submaximal plane curves. J. Pure Appl. Alg. 189 (2004), 297-300.
• Linear systems with multiple base points in P² (amb B. Harbourne). Adv. Geom. 4 (2004), no. 1, 41--59.
• Linear systems of surfaces with double points: Terracini revisited. PRAGMATIC, 2001 (amb G. Zappalà i S. Baggio). Le Matematiche (Catania) 56 (2001), 269-280 (2003).
• Linear systems of plane curves with imposed multiple points. Illinois J. Math. 45 (2001), 895-906.
• Conditions imposed by tacnodes and cusps. Trans. Amer. Math. Soc. 353 (2001), 4925-4948.
• On the existence of plane curves with imposed multiple points. J. Pure Appl. Algebra 156 (2001), 115-126.
• An analytic invariant of ordinary curve singularities. Proc. Amer. Math. Soc. 127 (1999), 3525-3526.

Tesi doctoral

• Condicions infinitesimals i sistemes lineals de corbes planes, Universitat de Barcelona (2001).