LEOVIGILDO
ALONSO TARRIO
Profesor titular de universidad
Publicaciones (29) Publicaciones de LEOVIGILDO ALONSO TARRIO
2023
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Las Medallas Fields 2022
Gaceta de la Real Sociedad Matematica Española, Vol. 26, Núm. 3, pp. 571-582
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Relative perfect complexes
Mathematische Zeitschrift, Vol. 304, Núm. 3
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Unbounded Algebraic Derivators
Applied Categorical Structures, Vol. 31, Núm. 6
2021
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On the decomposition of the De Rham complex on formal schemes
Indiana University Mathematics Journal, Vol. 70, Núm. 4, pp. 1471-1504
2018
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Las Medallas Fields 2018
Gaceta de la Real Sociedad Matematica Española, Vol. 21, Núm. 3, pp. 609-619
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On the derived category of quasi-coherent sheaves on an Adams geometric stack
Journal of Pure and Applied Algebra, Vol. 222, Núm. 4, pp. 828-845
2016
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Homological algebra on an adams algebraic stack
Trends in Mathematics
2015
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A functorial formalism for quasi-coherent sheaves on a geometric stack
Expositiones Mathematicae, Vol. 33, Núm. 4, pp. 452-501
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Las Medallas Fields 2014
Gaceta de la Real Sociedad Matematica Española, Vol. 18, Núm. 1, pp. 183-194
2014
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Bivariance, Grothendieck duality and Hochschild homology, II: The fundamental class of a flat scheme-map
Advances in Mathematics, Vol. 257, pp. 365-461
2012
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La visión de David Mumford
Gaceta de la Real Sociedad Matematica Española, Vol. 15, Núm. 1, pp. 205-216
2011
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Bivariance, Grothendieck duality and Hochschild homology I: Construction of a bivariant theory
Asian Journal of Mathematics, Vol. 15, Núm. 3, pp. 451-498
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Las Medallas Fields 2010
Gaceta de la Real Sociedad Matematica Española, Vol. 14, Núm. 1, pp. 179-190
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On the existence of a compact generator on the derived category of a noetherian formal scheme
Applied Categorical Structures, Vol. 19, Núm. 6, pp. 865-877
2010
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Compactly generated t-structures on the derived category of a Noetherian ring
Journal of Algebra, Vol. 324, Núm. 3, pp. 313-346
2009
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Local structure theorems for smooth maps of formal schemes
Journal of Pure and Applied Algebra, Vol. 213, Núm. 7, pp. 1373-1398
2008
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The derived category of quasi-coherent sheaves and axiomatic stable homotopy
Advances in Mathematics, Vol. 218, Núm. 4, pp. 1224-1252
2007
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Infinitesimal lifting and Jacobi criterion for smoothness on formal schemes
Communications in Algebra, Vol. 35, Núm. 4, pp. 1341-1367
2004
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Bousfield localization on formal schemes
Journal of Algebra, Vol. 278, Núm. 2, pp. 585-610
2003
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Construction of t-structures and equivalences of derived categories
Transactions of the American Mathematical Society, Vol. 355, Núm. 6, pp. 2523-2643