Departamento de Matemática Aplicada
Universidad Politécnica de Madrid
Av. de Juan de Herrera, 4,
28040 Madrid, Spain
Departamento de Matemática Aplicada
Universidad Politécnica de Madrid
Av. de Juan de Herrera, 4,
28040 Madrid, Spain
Papers and Preprints
11.- (With J. Navarro): The Riemann-Roch theorem for the Adams operations. To appear in Expositiones Math., vol. 41, iss. 4. (2023) (Non-updated) Preprint on arXiv.
10.- On the higher Riemann-Roch without denominators. Submitted. (Non updated) Preprint on arXiv
9.- (With J. Navarro) On the Riemann-Roch formula without projective assumptions. Trans. Amer. Math. Soc. 374, 755-772. (2021) (Non-updated) Preprint on arXiv.
8.- (With J. Navarro and I. Ojeda): Commutative monoids and their corresponding affine k-schemes. Semigroup Forum, 101(2), 421-434. (2020)
7.- (With J. Navarro and C. Tejero): Natural operations on holomorphic forms. Archivum Math. (Brno). vol 54, iss 4, 239-254. (2018) Preprint on arXiv.
6.- Riemann-Roch for homotopy invariant K-theory and Gysin morphisms. Advances in Math. Vol 328, 13, 501-554. (2018) (Non-updated) Preprint on arXiv.
5.- On Grothendieck's Riemann-Roch theorem. Expositiones Math Vol 35, Iss 3, 326-342. (2017) (Non-updated) Preprint on arXiv.
4.- The Riemann-Roch theorem and Gysin morphism in arithmetic geometry. (2016) PhD dissertation.
3.- (With J. Navarro): On the uniqueness of the Gauss-Bonnet-Chern formula (after Gilkey-Park-Sekigawa). J. of Geom. & Phys, vol. 101 65-70 (2016) Preprint on arXiv
2.- (With J. Navarro): Dimensional Curvature Identities on pseudo-Riemannian geometry. J. of Geom. & Phys, vol. 86 554-563 (2014) Preprint on arXiv
1.- (With J. Navarro): Lovelock’s theorem revisited. J. of Geom. & Phys, vol. 61 (10) 1950-1956 (2011) Preprint on arXiv
Other mathematical texts
(With J. Navarro): Automorphisms of classical geometries in the sense of Klein. (2009) arXiv:0901.3928v1
Vladimir Voevodsky, Medalla Fields 2002. La Gaceta de la RSME, vol 24, nº 3, 623-643 (2021) (Spanish)
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