Javier Fresán | Swiss Federal Institute of Technology (ETH) (original) (raw)
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Papers by Javier Fresán
We investigate from a mathematical perspective how Feynman amplitudes appear in the low-energy li... more We investigate from a mathematical perspective how Feynman amplitudes appear in the low-energy limit of string amplitudes. In this paper, we prove the convergence of the integrands. We derive this from results describing the asymptotic behaviour of the height pairing between degree-zero divisors, as a family of curves degenerates. These are obtained by means of the nilpotent orbit theorem in Hodge theory.
At the end of the 1970s, Gross and Deligne conjectured that periods of geometric Hodge structures... more At the end of the 1970s, Gross and Deligne conjectured that periods of geometric Hodge structures with multiplication by an abelian number field are products of values of the gamma function at rational arguments, with exponents determined by the Hodge decomposition. We prove an alternating variant of this conjecture for smooth projective varieties acted upon by an automorphism of finite order, thus improving previous results of Maillot and Rössler. The proof relies on a product formula for periods of regular singular connections due to Saito and Terasoma.
Hilali Conjecture predicts that for a simply-connected elliptic space, the total dimension of the... more Hilali Conjecture predicts that for a simply-connected elliptic space, the total dimension of the rational homotopy does not exceed that of the rational homology. Here we give a proof of this conjecture for a class of elliptic spaces known as hyperelliptic.
Tk, Jan 1, 2005
La distinción unamuniana entre historia e intrahistoria también es aplicable a la literatura. Com... more La distinción unamuniana entre historia e intrahistoria también es aplicable a la literatura. Como otra cara del relato, entrando y saliendo de lo que Umberto Eco llama los bosques narrativos, el mundo que rodea al escritor sus inquietudes, qué pudo hacer o no hacer, ...
Clarín: Revista de Nueva Literatura, Jan 1, 2010
Clarín: Revista de Nueva Literatura, Jan 1, 2007
Clarín: Revista de Nueva Literatura, Jan 1, 2006
Clarín: Revista de Nueva Literatura, Jan 1, 2008
We investigate from a mathematical perspective how Feynman amplitudes appear in the low-energy li... more We investigate from a mathematical perspective how Feynman amplitudes appear in the low-energy limit of string amplitudes. In this paper, we prove the convergence of the integrands. We derive this from results describing the asymptotic behaviour of the height pairing between degree-zero divisors, as a family of curves degenerates. These are obtained by means of the nilpotent orbit theorem in Hodge theory.
At the end of the 1970s, Gross and Deligne conjectured that periods of geometric Hodge structures... more At the end of the 1970s, Gross and Deligne conjectured that periods of geometric Hodge structures with multiplication by an abelian number field are products of values of the gamma function at rational arguments, with exponents determined by the Hodge decomposition. We prove an alternating variant of this conjecture for smooth projective varieties acted upon by an automorphism of finite order, thus improving previous results of Maillot and Rössler. The proof relies on a product formula for periods of regular singular connections due to Saito and Terasoma.
Hilali Conjecture predicts that for a simply-connected elliptic space, the total dimension of the... more Hilali Conjecture predicts that for a simply-connected elliptic space, the total dimension of the rational homotopy does not exceed that of the rational homology. Here we give a proof of this conjecture for a class of elliptic spaces known as hyperelliptic.
Tk, Jan 1, 2005
La distinción unamuniana entre historia e intrahistoria también es aplicable a la literatura. Com... more La distinción unamuniana entre historia e intrahistoria también es aplicable a la literatura. Como otra cara del relato, entrando y saliendo de lo que Umberto Eco llama los bosques narrativos, el mundo que rodea al escritor sus inquietudes, qué pudo hacer o no hacer, ...
Clarín: Revista de Nueva Literatura, Jan 1, 2010
Clarín: Revista de Nueva Literatura, Jan 1, 2007
Clarín: Revista de Nueva Literatura, Jan 1, 2006
Clarín: Revista de Nueva Literatura, Jan 1, 2008