José Ignacio Burgos Gil

José Ignacio Burgos Gil

PhD Thesis, University of Barcelona (1994).

Anillos de Chow Aritméticos

Research documents and preprints

Publications indexed by MathSciNet

MR1275721 Burgos Gil, J. I.; A C logarithmic Dolbeault complex. Compositio Math. 92, 1, 6186 1994 pdf.
MR1291696 Burgos Gil, J. I.; Green forms and their product. Duke Math. J. 75, 3, 529574 1994 pdf.
MR1489119 (99d:14015) Burgos Gil, J. I.; Arithmetic Chow rings and Deligne-Beilinson cohomology. J. Algebraic Geom. 6, 2, 335377 1997 pdf (preliminary version).
MR1621424 Burgos Gil, J. I.; Wang, S.; Higher Bott-Chern forms and Beilinson's regulator. Invent. Math. 132, 2, 261305 1998 pdf.
MR1738857 Burgos Gil, J. I.; Hermitian vector bundles and characteristic classes. The arithmetic and geometry of algebraic cycles (Banff, AB, 1998) CRM Proc. Lecture Notes 24, 155182 Amer. Math. Soc. 2000 pdf (preliminary version).
MR1872772 Burgos Gil, J. I.; An introduction to Arakelov theory. Catalan Butl. Soc. Catalana Mat. 16, 1, 6185 2001. pdf.
MR1869655 Burgos Gil, J. I.; The regulators of Beilinson and Borel. CRM Monograph Series 15, 2002 Amer. Math. Soc. pdf (preliminary version).
MR1968898 (2004c:14013) Burgos Gil, J. I.; Wildeshaus, J.; Modules de Hodge sur les variétés de Shimura, et leur dégénérescence dans la compactification de Baily-Borel.. French C. R. Math. Acad. Sci. Paris 336, 1, 2934 2003 pdf.
MR1961096 Burgos Gil, J. I.; Xarles, X.; Fields Medals. SCM Not. 18, 2831 2003.
MR2060481 Burgos Gil, J. I.; Wildeshaus, J.; Hodge modules on Shimura varieties and their higher direct images in the Baily-Borel compactification. Ann. Sci. École Norm. Sup. (4) 37, 3, 363413 2004 pdf.
MR2218402 (2007e:14039) Burgos Gil, J. I.; Kramer, J.; Kühn, U.; Arithmetic characteristic classes of automorphic vector bundles. Doc. Math. 10, 619716 2005 pdf.
MR2285241 Burgos Gil, J. I.; Kramer, J.; Kühn, U.; Cohomological arithmetic Chow rings. J. Inst. Math. Jussieu 6, 1, 1172 2007 pdf.
MR2322676 Bruinier, J.; Burgos Gil, J. I.; Kühn, U.; Borcherds products and arithmetic intersection theory on Hilbert modular surfaces. Duke Math. J. 139, 1, 188 2007 pdf.
MR2384539 Burgos Gil, J. I.; Semipurity of tempered Deligne cohomology. Collect. Math. 59, 1, 79102 2008 pdf.
MR2532911 Burgos Gil, J. I.; Philippon, P.; Sombra, M.; Hauteur des sous-schèmas toriques et dualité de Legendre-Fenchel. C. R. Math. Acad. Sci. Paris 347, 11-12, 589594 2009 pdf.
MR2628847 Burgos Gil, J. I.; Liţcanu, R.; Singular Bott-Chern classes and the arithmetic Grothendieck Riemann Roch theorem for closed immersions. Doc. Math. 15, 73176 2010 pdf.
MR2755482 Burgos Gil, J. I.; Feliu, E.; Takeda, Y.; On Goncharov's regulator and higher arithmetic Chow groups. Int. Math. Res. Not. IMRN 2011, 1, 4073 2011 pdf.
MR2764514 Espuny, F. Burgos Gil, J. I.; Generic self-calibration of central cameras from two rotational flows. Int. J. Comput. Vis. 91, 2, 131145 2011 pdf.
MR2846179 Burgos Gil, J. I.; Sombra, M.; When do the recession cones of a polyhedral complex form a fan?. Discrete Comput. Geom. 46, 4, 789798 2011 pdf.
MR2752501 Burgos Gil, J. I.; Liţcanu, R.; Freixas, G.; Some recent results on generalized analytic torsion classes. ``Alexandru Myller'' Mathematical Seminar AIP Conf. Proc. 1329, 4969 2011 Amer. Inst. Phys..
MR2914943 Burgos Gil, J. I.; Freixas, G.; Liţcanu, R.; Hermitian structures on the derived category of coherent sheaves. J. Math. Pures Appl. 97, 9, 424459 2012 pdf.

Other publications

Domingo, L.; Burgos Gil, J. I.; Open-shell state parameters for symmetry degenerate orbital systems. Quantum Chemistry - Basic Aspects, Actual Trends R. Carbó Studies in Physical and Theoretical Chemistry 62, 102120 1989 Elsevier Science Publishers.
Burgos Gil, J. I.; Serrano-Andrés, L.; Oliva, J. M.; Klein, D. J.; On the effect of radical character, substitution and atom encapsulation on the volume of icosahedral (car)boranes. Afinidad 65, 3238 2008.
Espuny, F. Burgos Gil, J. I.; Generic Self-calibration of Central Cameras from Two "Real" Rotational Flows. Proc. of the 8th Workshop on Omnidirectional Vision, Camera Networks and Non-classical Cameras, OMNIVIS, 2008.
Oliva, J. M.; Schleyer, P.v.R.; Goldberg, A.; Aullón, G.; Burgos Gil, J. I.; Fernández-Barbero, A.; Alkorta, I.; On the electronic structure and stability of icosahedral r-X2Z10H12 and Z12H122- clusters, r={ortho, meta, para}, X = {C, Si}, Z = {B, Al}. Physical Chemistry Chemical Physics (PCCP) 12, 51015108 2010.
Espuny, F.; Aranda, J.; Burgos Gil, J. I.; Camera Self-calibration with Parallel Screw Axis Motion by Intersecting Imaged Horopters. Proc. of the 17th Scandinavian Conference on Image Analysis SCIA 2011 Lecture notes in Computer Science 6688, 112 2011.
Espuny, F.; Schoenemann, T.; Kahl, F.; Burgos Gil, J. I.; Computing generic rotational Flows using warping and its application to self-calibration. Proc. of the Swedish Symposium on Image Analysis (SSBA), 2010.
Burgos Gil, J. I.; de Jeu, R.; Lewis, J.; Naranjo, J. C.; Raskind, W.; Xarles, X.; Regulators, Proceedings of the confernece Regulators III, Barcelona 2010 Contemporary Mathematics 571 2012 AMS


Burgos Gil, J. I.; Feliu, E.; Higher arithmetic Chow groups. arXiv:0907.5169 2009 Comentarii Matematici Helvetici pdf.
Burgos Gil, J. I.; Freixas, G.; Liţcanu, R.; Generalized holomorphic analytic torsion. arXiv:1011.3702 2010 J. Eur. Math. Soc. pdf.
Burgos Gil, J. I.; Philippon, P.; Sombra, M.; Arithmetic geometry of toric varieties. Metrics, measures and heights. arXiv:1105.5584 2011 pdf.


Workshop Advanced Course on Arakelov Geometry and Shimura Varieties CRM Bellaterra (SPAIN) February 20 to February 25 2006
Conference Recent Developments in the Arithmetic of Shimura Varieties and Arakelov Geometry CRM Bellaterra (SPAIN) July 10 to July 15 2006
Conference International Conference on Arithmetic Algebraic Geometry El Escorial (SPAIN) September 4 to September 8 2006
Conference Barcelona-Kyoto-Paris seminar in Arakelov geometry Paris (FRANCE) Mars 18 to Mars 20 2009
Conference Paris-Barcelona-Kyoto seminar in Arakelov geometry Kyoto (JAPAN) September 21 to September 20 2010
Workshop Second International School on Geometry and Physics: Geometric Langlands and Gauge Theory CRM Bellaterra (SPAIN) March 17 to March 26 2010
Conference Regulators III Barcelona (SPAIN) July 12 to July 22 2010
Conference heights Tossa de Mar (SPAIN) April 26 to April 30 2011
Conference Kyoto-Paris-Barcelona seminar in Arakelov geometry Barcelona (SPAIN) September 5 to September 9 2011
Conference Periods and Motives. A new perspective in renormalization ICMAT Madrid (SPAIN) July 2 to July 6 2012
Conference Paris-Barcelona-Kyoto seminar in Arakelov geometry Kyoto (JAPAN) September 18 to September 21 2012