WorldCat Identities

Burgos Gil, José I. (José Ignacio) 1962-

Overview
Works: 19 works in 56 publications in 4 languages and 732 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Dedicatee, Opponent, 958
Publication Timeline
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Most widely held works by José I Burgos Gil
Regulators : Regulators III Conference, July 12-22, 2010, Barcelona, Spain by Regulators( Book )

9 editions published in 2012 in English and held by 186 WorldCat member libraries worldwide

Arithmetic geometry of toric varieties : metrics, measures and heights by José I Burgos Gil( Book )

9 editions published in 2014 in English and held by 173 WorldCat member libraries worldwide

We show that the height of a toric variety with respect to a toric metrized line bundle can be expressed as the integral over a polytope of a certain adelic family of concave functions. To state and prove this result, we study the Arakelov geometry of toric varieties. In particular, we consider models over a discrete valuation ring, metrized line bundles, and their associated measures and heights. We show that these notions can be translated in terms of convex analysis, and are closely related to objects like polyhedral complexes, concave functions, real Monge-Ampère measures, and Legendre-Fenchel duality. We also present a closed formula for the integral over a polytope of a function of one variable composed with a linear form. This formula allows us to compute the height of toric varieties with respect to some interesting metrics arising from polytopes. We also compute the height of toric projective curves with respect to the Fubini-Study metric and the height of some toric bundles"--Page 4 of cover
The regulators of Beilinson and Borel by José I Burgos Gil( Book )

1 edition published in 2001 in English and held by 143 WorldCat member libraries worldwide

Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Instituto de Ciencias Matemáticas, Madrid, Spain by International Research Workshop Periods and Motives - a Modern Perspective on Renormalization( Book )

9 editions published between 2012 and 2015 in English and held by 133 WorldCat member libraries worldwide

This volume contains the proceedings of the International Research Workshop on Periods and Motives--A Modern Perspective on Renormalization, held from July 2-6, 2012, at the Instituto de Ciencias Matemáticas, Madrid, Spain. Feynman amplitudes are integrals attached to Feynman diagrams by means of Feynman rules. They form a central part of perturbative quantum field theory, where they appear as coefficients of power series expansions of probability amplitudes for physical processes. The efficient computation of Feynman amplitudes is pivotal for theoretical predictions in particle physics. Periods are numbers computed as integrals of algebraic differential forms over topological cycles on algebraic varieties. The term originated from the period of a periodic elliptic function, which can be computed as an elliptic integral. Motives emerged from Grothendieck's "universal cohomology theory", where they describe an intermediate step between algebraic varieties and their linear invariants (cohomology). The theory of motives provides a conceptual framework for the study of periods. In recent work, a beautiful relation between Feynman amplitudes, motives and periods has emerged. The articles provide an exciting panoramic view on recent developments in this fascinating and fruitful interaction between pure mathematics and modern theoretical physics
The regulators of Beilinson and Borel by José I Burgos Gil( )

10 editions published between 2001 and 2002 in 3 languages and held by 33 WorldCat member libraries worldwide

This book contains a complete proof of the fact that Borel's regulator map is twice Beilinson's regulator map. The strategy of the proof follows the argument sketched in Beilinson's original paper and relies on very similar descriptions of the Chern-Weil morphisms and the van Est isomorphism. The book has two different parts. The first one reviews the material from algebraic topology and Lie group theory needed for the comparison theorem. Topics such as simplicial objects, Hopf algebras, characteristic classes, the Weil algebra, Bott's Periodicity theorem, Lie algebra cohomology, continuous gr
The regulators of Beilinson and Borel by José I Burgos Gil( Book )

2 editions published in 2002 in English and held by 32 WorldCat member libraries worldwide

Feynman Amplitudes, Periods and Motives by Luis Álvarez-Cónsul( )

1 edition published in 2015 in English and held by 13 WorldCat member libraries worldwide

This volume contains the proceedings of the International Research Workshop on Periods and Motives-A Modern Perspective on Renormalization, held from July 2-6, 2012, at the Instituto de Ciencias Matemáticas, Madrid, Spain. Feynman amplitudes are integrals attached to Feynman diagrams by means of Feynman rules. They form a central part of perturbative quantum field theory, where they appear as coefficients of power series expansions of probability amplitudes for physical processes. The efficient computation of Feynman amplitudes is pivotal for theoretical predictions in particle physics. Period
Regulators( Book )

1 edition published in 2012 in English and held by 4 WorldCat member libraries worldwide

Anillos de Chow aritméticos by José I Burgos Gil( Book )

3 editions published between 1994 and 1995 in Spanish and English and held by 3 WorldCat member libraries worldwide

On higher arithmetic intersection theory by Elisenda Feliu i Trijueque( )

2 editions published between 2007 and 2008 in English and held by 2 WorldCat member libraries worldwide

Regulators : regulators 3. conference, July 12-22, 2012, Barcelona, Spain by *Regulators( Book )

1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide

The Riemann-Roch theorem and Gysin morphism in arithmetic geometry El teroema de Riemann-Roch y el morfismo de Gysin en geometría aritmética by Alberto Navarro Garmendia( Book )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

The original Grothendieck's Riemann-Roch theorem states that for any proper morphism f : Y ! X, between nonsingular quasiprojective irreducible varieties over a eld, and any element a 2 K0(Y ) of the Grothendieck group of vector bundles the relation ch(f!(a)) = f {u100000}Td(Tf ) ch(a) holds (cf. [BS58]). Recall that ch denotes the Chern character, Td(Tf ) the Todd class of the relative tangent bundle and f and f! the direct image in the Chow ring and K0 respectively. Later Baum, Fulton and MacPherson proved in [BFM75] the Riemann-Roch theorem for locally complete intersection morphisms between singular projective algebraic schemes (i.e., locally of nite type separated schemes over a eld). In [FG83] Fulton and Gillet proved the theorem without projective assumptions on the schemes. The remarkable extension to higher K-theory and schemes over a regular base was proved by Gillet in [Gil81]. The Riemann-Roch theorem proved there is for projective morphisms between smooth quasiprojective schemes. However, note that in the case over a eld Gillet's theorem does not recover the result of [BFM75]. The furthest generalization of the Riemann-Roch theorem I know is [D eg14] and [HS15] where D eglise and Holmstrom-Scholbach independently obtained the Riemann-Roch theorem for higher K-theory and projective lci morphisms between regular schemes over a nite dimensional noetherian base
Self-calibration of projective and generic central cameras by Ferran Espuny i Pujol( )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

Cálculo de la representación de los estados y de los coeficientes de acoplamiento para múltiples atómicos by José I Burgos Gil( )

1 edition published in 1986 in Spanish and held by 1 WorldCat member library worldwide

Feynman Amplitudes, Periods and Motives by Luis Álvarez-Cónsul( Book )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

This volume contains the proceedings of the International Research Workshop on Periods and Motives-A Modern Perspective on Renormalization, held from July 2-6, 2012, at the Instituto de Ciencias Matemáticas, Madrid, Spain. Feynman amplitudes are integrals attached to Feynman diagrams by means of Feynman rules. They form a central part of perturbative quantum field theory, where they appear as coefficients of power series expansions of probability amplitudes for physical processes. The efficient computation of Feynman amplitudes is pivotal for theoretical predictions in particle physics. Periods are numbers computed as integrals of algebraic differential forms over topological cycles on algebraic varieties. The term originated from the period of a periodic elliptic function, which can be computed as an elliptic integral. Motives emerged from Grothendieck's "universal cohomology theory", where they describe an intermediate step between algebraic varieties and their linear invariants (cohomology). The theory of motives provides a conceptual framework for the study of periods. In recent work, a beautiful relation between Feynman amplitudes, motives and periods has emerged. The articles provide an exciting panoramic view on recent developments in this fascinating and fruitful interaction between pure mathematics and modern theoretical physics
Applets interactius de restauració d'imatges by Ning Li( )

1 edition published in 2008 in Spanish and held by 1 WorldCat member library worldwide

Regulators : regulators IIIconference, July 12-22, 2010, Barcelona, Spain( Book )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

Approximation diophantienne sur les variétés projectives et les groupes algébriques commutatifs by François Ballaÿ( )

1 edition published in 2017 in French and held by 1 WorldCat member library worldwide

In this thesis, we study diophantine geometry problems on projective varieties and commutative algebraic groups, by means of tools from Arakelov theory. A central notion in this work is the slope theory for hermitian vector bundles, introduced by Bost in the 1990s. More precisely, we work with its generalization in an adelic setting, inspired by Zhang and developed by Gaudron. This dissertation contains two major lines. The first one is devoted to the study of a remarkable theorem due to Faltings and Wüstholz, which generalizes Schmidt's subspace theorem. We first reformulate the proof of Faltings and Wüstholz using the formalism of adelic vector bundles and the adelic slope method. We then establish some effective variants of the theorem, and we deduce an effective generalization of Liouville's theorem for closed points on a projective variety defined over a number field. In particular, we give an explicit upper bound for the height of the points satisying a Liouville-type inequality. In the second part, we establish new measures of linear independence of logarithms over a commutative algebraic group. We focus our study on the rational case. Our approach combines Baker's method (revisited by Philippon and Waldschmidt) with arguments from the slope theory. More importantly, we introduce a new argument to deal with the periodic case, inspired by previous works of Bertrand and Philippon. This method does not require the use of an extrapolation on derivations in the sense of Philippon-Waldschmidt. In this way, we are able to remove an important hypothesis in several theorems of Gaudron establishing lower bounds for linear forms in logarithms
Regulators by José I Burgos Gil( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

 
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The regulators of Beilinson and Borel The regulators of Beilinson and Borel The regulators of Beilinson and Borel
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The regulators of Beilinson and BorelThe regulators of Beilinson and Borel
Alternative Names
Burgos Gil, J. I.

Burgos-Gil, José Burgos

Burgos-Gil, José I

Burgos-Gil, José I. 1962-

Burgos Gil, José Ignacio.

Burgos-Gil, José Ignacio 1962-

Gil, José I. 1962-

Gil, José I. Burgos.

Gil, José I. Burgos 1962-

Gil, José I. Burgos (José Ignacio Burgos), 1962-

Gil, José Ignacio Burgos.

Gil José Ignacio Burgos 1962-....

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