Simone Marchesi

Simone Marchesi

Senior lecturer

Scopus Author ID: 55536076500
Researcher ID: C-7525-2012
Knowledge area: Àlgebra

Research group: Àlgebra i Geometria Algebraica. AGA.

Contact Information
Department of Mathematics and Computer Science
Plaça Universitat, Edifici Històric Gran Via de les Corts Catalanes, 585 08007 Barcelona

marchesi(a)ub.edu

Publications

Farnik, L.; Frapporti, D.; Marchesi, S. (2009). On the non-existence of orthogonal instanton bundle on P2n+1. Le Matematiche, LXIV(II), pp. 81 - 90 . ISSN: 0373-3505
Marchesi, S.; Massarenti, A.; Tafazolian, S. (2011). Covered by lines and conic connected varieties. Le Matematiche, LXVI(II), pp. 137 - 151 . https://doi.org/10.4418/2011.66.2.12 . ISSN: 0373-3505
Jardim, M.; Marchesi, S. (2015). p-Buchsbaum rank 2 bundles on the projective space. Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 47, pp. 17 - 25 . https://doi.org/10.13137/0049-4704/11216 . ISSN: 0049-4704
Arrondo, E.; Marchesi, S.; Soares, H. (2016). Schwarzenberger bundles on smooth projective verities. Journal of Pure and Applied Algebra, 220, pp. 3307 - 3326 . https://doi.org/10.1016/j.jpaa.2016.02.016 . ISSN: 0022-4049
Jardim, M.; Marchesi, S.; Wissdorf, A. (2016). Moduli of autodual instanton bundles. Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society , 47(3), pp. 823 - 843 . ISSN: 1678-7544
Lara, D.; Marchesi, S.; Martins, R.V. (2016). Curves with Canonical Models on Scrolls. International Journal of Mathematics, 27(5), pp. 1 - 30 . https://doi.org/10.1142/S0129167X16500452 . ISSN: 0129-167X
Marchesi, S.; Prata, D. (2016). Simplicity and exceptionality of syzygy bundles over Pn. Annali di Matematica Pura ed Applicata, 195, pp. 41 - 58 . https://doi.org/10.1007/s10231-014-0451-1 . ISSN: 0373-3114
Marchesi, S.; Marques, P.M.; Soares, H. (2018). Monads on projective varieties. Pacific Journal of Mathematics, 296(1), pp. 155 - 180 . Institutional Repository . ISSN: 0030-8730
Andrade, A.V.; Marchesi, S.; Miró-Roig, R.M. (2019). Irreducibility of the moduli space of orthogonal instanton bundles on Pn. Revista Matematica Complutense, 33, pp. 271 - 294 . Institutional Repository . ISSN: 1139-1138
Cavalcante, A.; Corrêa, M.; Marchesi, S. (2020). On holomorphic distributions on Fano threefolds. Journal of Pure and Applied Algebra, 224(6) . Institutional Repository . ISSN: 0022-4049
Malaspina, Francesco; Marchesi, Simone; Pons-Llopis, Juan Francisco (2020). Instanton bundles on the flag variety $F(0,1,2)$. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze, 20(4), pp. 1469 - 1505 . Institutional Repository . ISSN: 0391-173X
Marchesi, S.; Vallès, J. (2021). Nearly free curves and arrangements: a vector bundle point of view. Mathematical Proceedings of the Cambridge Philosophical Society, 170(1), pp. 51 - 74 . Institutional Repository . ISSN: 0305-0041
Marchesi, S.; Miró-Roig, R.M. (2021). Uniform Steiner bundles. Annales de l'Institut Fourier, 71(2), pp. 447 - 472 . Institutional Repository . ISSN: 0373-0956
Colarte-Gómez, L.; Costa, L.; Marchesi, S.; Miró-Roig, R.M.; Salat-Moltó, M. (2021). Hypertetrahedral arrangements. Mathematische Zeitschrift, 301, pp. 515 - 539 . Institutional Repository . ISSN: 0025-5874
Faenzi, D; Marchesi, S. (2022). On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants. International Mathematics Research Notices, 2022(23), pp. 18589 - 18631 . Institutional Repository . ISSN: 1073-7928
Marchesi, S.; Vallès, J. (2023). On invariant rank two vector bundles on P2. Publicacions Matemàtiques, 67, pp. 259 - 275 . Institutional Repository . ISSN: 0214-1493

Participations in Conferences

Marchesi, S. (2022). Torelli problem for logarithmic sheaves. (Invited conference) . Sixteenth International Conference Zaragoza-Pau on Mathematics and its Applications . Jaca . SPAIN
Marchesi, S. (2022). Logarithmic sheaves with fixed points. (Invited conference) . Bandoleros 2022 - Sixth Algebraic Geometry Meeting . Ankara . TURKEY
Marchesi, S. (2022). On stability of logarithmic sheaves and the Torelli problem. (Invited conference) . Séminaire méditerranéen de géométrie algébrique . Nice . FRANCE
Marchesi, S. (2021). Generalized logarithmic sheaves. (Invited conference) . Genova, Torino, Milano Seminar: Some Topics in Commutative Algebra and Algebraic Geometry . Torino . ITALY
Marchesi, S. (2021). On the stability of logarithmic tangent sheaves. (Invited conference) . Algebraic Geometry in Ischia for Alexandru Dimca's retirement . ITALY
Costa, L.; Marchesi, S.; Miró-Roig, R.M. (2021). . (Chair of scientific/organizer committee) . Jornada de Jóvenes Doctores en Geometría Algebraica . SPAIN
Marchesi, S. (2020). A vector bundle point of view on line arrangements. (Invited conference) . 5a reunión anual de la red RGAS . Salamanca . SPAIN
Marchesi, S. (2019). Terao's conjecture holds for RUA arrangements. (Invited conference) . Workshop of Young Researchers in Mathematics . Madrid . SPAIN
Marchesi, S. (2018). Nearly free arrangements: a vector bundle point of view. (Invited conference) . III Congresso Brasileiro de Jovens Pesquisadores em Matemática Pura, Aplicada e Estatística . Curitiba . BRAZIL
Marchesi, S. (2018). A vector bundle point of view on line arrangements. (Invited conference) . Algebraic Geometry and Foliations: in celebration of Israel Vainsencher's 70th Birthday . Belo Horizonte . BRAZIL

Projects

Unidades de excelencia «María de Maeztu». Centre de Recerca Matemàtica (CRM) (Sense especificar) . 2022 - 2025 . Ref.CEX2020-001084-M . Ministerio de Ciencia, Innovación y Universidades . PI: Marcel Guardia Munarriz
Fibrados Vectoriales en Geometría Algebraica, II (Programa Nacional de Matemáticas) . 2021 - 2025 . Ref.PID2020-113674GB-I00 . Ministerio de Ciencia, Innovación y Universidades . PI: Rosa Maria Miro Roig . (3 Researchers)
  • Espacios de Moduli
  • Fibrados equivariantes
  • Fibrados Ulrich
  • Fibrados logaritmicos
  • Fibrados ACM
Gauge Theory and Algebraic Geometry (Sense especificar) . 2019 - 2024 . Ref.2018/21391-1 . Fundação de Amparo à Pesquisa do Estado de São Paulo–FAPESP . PI: Marcos Jardim . (10 Researchers) . Gauge theory is the study of differential equations involving connections on vector bundles over manifolds using methods from differential geometry, algebraic geometry and geometric analysis. This is area of research emerged in the late 1970s, especially after works by Michael Atiyah, Nigel Hitchin and simon Donaldson, among others, as a mathematical model for classical field theory in mathematical physics, and had inumerous applications to more tradicional areas of mathematics, like differential topology, algebraic geometry, complex geometry, Riemannian geometry, geometric analysis and representation theory. At the core of the theory is a 1-1 correspondence between solutions of certain equations (e.g. the Yang--Mills anti-self-duality equation) and holomoprhic vector bundles with certain properties (e.g. stability). The research group in Gauge Theory and Algebraic Geometry of the Department of Mathematics at IMECC-UNICAMP focuses on the interaction between these two areas, also working on specific problems in each of them.
Hyperplane arrangements, foliations and Kronecker modules (Sense especificar) . 2019 - 2021 . Ref.2019/08279-0 . Fundação de Amparo à Pesquisa do Estado de São Paulo–FAPESP . PI: Simone Marchesi . (1 Researchers)
Vector bundles: from the instanton family to a new regularity (Sense especificar) . 2018 - 2021 . Ref.303075/2017-1 . Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). Brasil . PI: Simone Marchesi . (1 Researchers)
Moduli Spaces in Algebraic Geometry and Applications (Sense especificar) . 2019 - 2020 . Ref.926/19 . Fundação de Amparo à Pesquisa do Estado de São Paulo–FAPESP . PI: Marcos Jardim . (7 Researchers)
Vector bundles: from the instanton family to a new regularity (Sense especificar) . 2017 - 2019 . Ref.2017/03487-9 . Fundação de Amparo à Pesquisa do Estado de São Paulo–FAPESP . PI: Simone Marchesi . (1 Researchers)
Arrangements and vector bundles (Sense especificar) . 2018 . Ref.2018/08524-2 . Fundação de Amparo à Pesquisa do Estado de São Paulo–FAPESP . PI: Simone Marchesi . (1 Researchers)
Vector Bundles on Projective Varieties (Sense especificar) . 2014 - 2017 . Ref.2014/19676-7 . Fundação de Amparo à Pesquisa do Estado de São Paulo–FAPESP . PI: Simone Marchesi . (1 Researchers)
Extensão: Sessão de Geometria Algébrica no II Congresso Brasileiros de Jovens Pesquisadores em Matemática Pura e Aplicada () . 2016 . Ref.2792/16 . Universitat de Campinas . PI: Marchesi, S.

Thesis, minor thesis and research reports

Adán Nogueiro Martínez . (2021) . The standard construction and the geoemetry of jumping lines (Master's Thesis) . Universitat de Barcelona.
A. Vilela Andrade . (2018) . Moduli of Orthogonal Instanton Bundles on Pn and their splitting type (Ph.D. Thesis) . Universidade Estadual de Campinas. Universitat de Barcelona.
Lucas Machado Gonçalves . (2018) . Plane algebraic curves: Bezout's theorem (Degree work) . Universidade Estadual de Campinas.
Ana Clara de Abreu Pires . (2017) . Vector Bundles and Grassmannians (Degree work) . Universidade Estadual de Campinas.
Ettore Teixeira Turatti . (2016) . An introduction to Algebraic Geometry (Degree work) . Universidade Estadual de Campinas.