Publications et prépublications
Marc Chardin

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Articles publiés

  1. Laurent Busé, Marc Chardin. Fibers of rational maps and elimination matrices : an application oriented approach.
    ArXiv:2107.14295 (to appear).

  2. Marc Chardin,Seyed Hamid Hassanzadeh, Aron Simis. Degree of Rational Maps versus Syzygies.
    J. Algebra 573, 641-662 (2021).

  3. Marc Chardin, Yairon Cid-Ruiz, Aron Simis. Generic freeness of local cohomology and graded specialization.
    Trans. Amer. Math. Soc. (to appear).

  4. Marc Chardin, Dipankar Ghosh, Navid Nemati. The (ir)regularity of Tor and Ext.
    Trans. Amer. Math. Soc. (to appear).

  5. Nicolás Botbol, Laurent Busé, Marc Chardin, Fatmanur Yildirim. Fibers of Multi-Graded Rational Maps and Orthogonal Projection Onto Rational Surfaces.
    SIAM J. Appl. Algebra Geometry 4, No. 2, 322-353 (2020).

  6. Marc Chardin, Steven Dale Cutkosky, Quang Hoa Tran. Fibers of rational maps and Jacobian matrices.
    J. Algebra, https://doi.org/10.1016/j.jalgebra.2019.01.035.

  7. Giulio Caviglia, Marc Chardin, Jason McCullough, Irena Peeva, Matteo Varbaro. Regularity of prime ideals.
    Math. Z. 291, 421-435 (2019).

  8. Marc Chardin, José Naéliton, Tran Quang Hoa. Cohen-Macaulayness and canonical module of residual intersections.
    Trans. Amer. Math. Soc. 372, 1601-1630 (2019).

  9. Nicolás Botbol, Laurent Busé, Marc Chardin, Seyed Hamid Hassanzadeh, Aron Simis, Tran Quang Hoa. Effective criteria for bigraded birational maps.
    J. Symbolic Comput. 81, 69-87 (2017).

  10. Marc Chardin, Peter Symonds. Degree Bounds on Homology and a Conjecture of Derksen.
    Compositio 152, No. 10, 2041-2049 (2016).

  11. Nicolás Botbol, Marc Chardin. Castelnuovo-Mumford regularity with respect to multigraded ideals.
    J. Algebra. 474, 361-392 (2017).

  12. Marc Chardin. Regularity stabilization for the powers of graded m-primary ideals.
    Proc. Amer. Math. Soc. 143, 3343-3349 (2015).

  13. Nicolás Botbol, Laurent Busé, Marc Chardin. Fitting ideals and multiple-points of surface parametrizations.
    J. Algebra. 420, 486-508 (2014).

  14. Marc Chardin, David Eisenbud , Bernd Ulrich. Hilbert Series of Residual Intersections.
    Compositio 151, No. 9, 1663-1687 (2015).

  15. Amir Bagheri, Marc Chardin, Tai Hà. The eventual shape of Betti tables of powers of ideals.
    Math. Res. Letters 20, No. 6, 1033-1046 (2013).

  16. Marc Chardin. Powers of ideals and the cohomology of stalks and fibers of morphisms.
    Algebra and Number Theory 7, No. 1, 1-18 (2013).

  17. Marc Chardin, Jean-Pierre Jouanolou, Ahad Rahimi. The eventual stability of depth, associated primes and cohomology of a graded module.
    J. Commutative Algebra 5, No. 1, 63-92 (2013).

  18. Marc Chardin. Powers of ideals : Betti numbers, Cohomology and Regularity.
    Commutative Algebra, 317--333. Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday. Peeva, Irena (Ed.), Springer, 2013.

  19. Marc Chardin, Dao Thanh Ha, Lê Tuân Hoa. Castelnuovo-Mumford regularity of Ext modules and homological degree.
    Trans. Amer. Math. Soc. 363, 3439-3456 (2011).

  20. Laurent Busé, Marc Chardin, Aron Simis. Elimination and nonlinear equations of the Rees algebra.
    J. Algebra 324, 1314-1333 (2010).

  21. Laurent Busé, Marc Chardin, Jean-Pierre Jouanolou. Torsion of the symmetric algebra and implicitization.
    Proc. Amer. Math. Soc. 137, 1855-1865 (2009).

  22. Marc Chardin, Kamran Divaani-Aazar. Generalized local cohomology and regularity of Ext modules.
    J. Algebra 319, 4780-4797 (2008).

  23. Agnes Szanto, with an appendix by Marc Chardin. Solving overdetermined systems by the subresultant method.
    J. Symbolic Computation 43, 46-74 (2008).

  24. Marc Chardin, Kamran Divaani-Aazar. A duality theorem for generalized local cohomology .
    Proc. Amer. Math. Soc. 136, 2749-2754 (2008).

  25. Marc Chardin, Steven D. Cutkosky, Jürgen Herzog, Hema Srinivasan. Duality and tameness .
    Michigan Math. J. 57 (in honor of Mel Hochster), 137-156 (2008).

  26. Marc Chardin, Amadou Lamine Fall, Uwe Nagel. Bounds for the Castelnuovo-Mumford regularity of modules .
    Math. Z. 258, 69-80 (2008).

  27. Marc Chardin. Some results and questions on Castelnuovo-Mumford regularity .
    Syzygies and Hilbert Functions. Lecture Notes in Pure and Appl. Math. 254, 1-40, 2007.

  28. Marc Chardin, Nguyen Cong Minh, Ngô Viêt Trung. On the regularity of products and intersections of complete intersections .
    Proc. Amer. Math. Soc. 135, 1597-1606 (2007).

  29. Marc Chardin. Implicitization using approximation complexes .
    Algebraic Geometry and Geometric Modeling. Mathematics and Visualization, 23-36. Springer Verlag, 2006.

  30. Laurent Busé, Marc Chardin. Implicitizing rational hypersurfaces using approximation complexes
    J. Symbolic Computation 40, 1150-1168 (2005).

  31. Marc Chardin, Amadou Lamine Fall. Sur la régularité de Castelnuovo-Mumford des idéaux, en dimension deux .
    C. R. Acad. Sci. Paris 341, 233-238 (2005).

  32. Marc Chardin. Liaison of varieties of small dimension and deficiency modules.
    Commutative Algebra with a focus on Geometric and Homological Aspects. Lecture Notes in Pure and Appl. Math. 244, 2005.

  33. Marc Chardin. Cohomology of projective schemes: From annihilators to vanishing ,
    J. Algebra 274, 68-79 (2004).

  34. Marc Chardin, Clare D'Cruz . Castelnuovo-Mumford regularity: Examples of curves and surfaces ,
    J. Algebra 270, 347-360 (2003).

  35. Marc Chardin, Guillermo Moreno-Socias . Regularity of lex-segment ideals: some closed formulas and applications ,
    Proc. Amer. Math. Soc. 131, 1093-1102 (2003).

  36. Marc Chardin. Bounds for Castelnuovo-Mumford regularity in terms of degrees of defining equations. ,
    NATO Sci. Ser. II Math. Phys. Chem. 115, 67-73 (2003).

  37. Marc Chardin, Bernd Ulrich. Liaison and Castelnuovo-Mumford regularity,
    Amer. J. Math. 124 (6), 1103-1124 (2002).

  38. Marc Chardin, Vesselin Gasharov . Irena Peeva . Maximal Betti numbers,
    Proc. Amer. Math. Soc. 130, 1877-1880 (2002).

  39. Marc Chardin. Projective schemes: What is computable in low degree ? ,
    Proceedings of EACA'2001.

  40. Marc Chardin, Applications of some properties of the canonical module in computational projective algebraic geometry.
    J. Symbolic Computation 29 (4-5), 527-544 (2000).

  41. Marc Chardin, David Eisenbud , Bernd Ulrich. Hilbert functions and residually S2 ideals,
    Compositio 125 (2), 193-219 (2001).

  42. Marc Chardin, Patrice Philippon. Régularité et interpolation,
    J. Algebraic Geom. 8 (3), 471-481 (1999).
    See also: ERRATUM to: Régularité et interpolation. J. Algebraic Geom. 11 (3), 599-600 (2002).

  43. Marc Chardin. Sur l'annulation de l'homologie du complexe de Koszul gradué,
    Bull. Soc. Math. France 123, 87-105 (1995).

  44. Marc Chardin. Multivariate Subresultants,
    J. Pure Appl. Algebra 101, 129-138 (1995).

  45. Marc Chardin. Sur l'indépendance linéaire de certains monômes modulo des polynômes génériques,
    C. R. Acad. Sci. Paris, Sér. I 319, 1033-1036 (1994).

  46. Marc Chardin. Formules à la Macaulay pour les sous-résultants en plusieurs variables,
    C. R. Acad. Sci. Paris, Sér. I 319, 433-436 (1994).

  47. Marc Chardin. The Resultant via a Koszul Complex,
    Computational Algebraic Geometry (Actes de MEGA 92), Progress in Math. 109, Birkhäuser (1993).

  48. Marc Chardin. Differential Resultants and Subresultants,
    Proc. FCT'91, Lecture Notes in Comput. Sci. 529, Springer-Verlag (1991).

  49. Marc Chardin. Un algorithme pour le calcul du résultant de trois polynômes homogènes en trois variables,
    Effective Methods in Algebraic Geometry (Actes de MEGA 90), Progress in Math. 94, Birkhäuser (1991).

  50. Marc Chardin. Thèse.
    Université Pierre et Marie Curie (Paris VI), 1990.

  51. Marc Chardin. Lien entre deux résultats sur la répartition modulo 1 de la suite des multiples d'un nombre réel,
    C. R. Acad. Sci. Paris, Sér. I, 308, 519-520 (1989).

  52. Marc Chardin. Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique,
    Bull. Soc. Math. France, 117, 305-318 (1989).

Prépublications



  1. Marc Chardin. Regularity of ideals and their powers. Prépublication 364, Insitut de Mathématiques de Jussieu, Mars 2004.

  2. Marc Chardin. On the behavior of Castelnuovo-Mumford regularity with respect to some functors.
    arXiv:0706.2731

Livres



  1. Luchezar Avramov, Marc Chardin, Marcel Morales, Claudia Polini, Editors. Commutative Algebra: Interactions with Algebraic Geometry.
    Contemporary Math. 331, 2003. ISBN 0-8218-3233-6.



    Marc Chardin (chardin@math.jussieu.fr)