Publications de Daniele Faenzi

Habilitation à diriger des recherches

Some applications of vector bundles in algebraic geometry

Articles de revue

  1. Hecke cycles on moduli of vector bundles and orbital degeneracy loci, avec V. Benedetti, M. Bolognesi, L. Manivel, J. Algebraic Geom., à paraître (2025). arXiv math.AG/2310.06482.
  2. Ulrich ranks of Veronese varieties and equivariant instantons, avec V. Pretti, Bull. London Math. Soc., à paraître (2025). (2025), doi. arXiv math.AG/2310.06482. .
  3. The Coble quadric, avec V. Benedetti, M. Bolognesi, L. Manivel, Forum Math. Sigma 12 (2024), Paper No. e63, 25 pp. arXiv math.AG/2307.05993.
  4. Rationality of Peskine varieties, avec V. Benedetti, Math. Z. 307 (2024), no. 2, Paper No. 26, 17 pp. arXiv math.AG/2211.16129.
  5. Logarithmic sheaves of complete intersections, avec M. Jadrim et J. Vallès, A paraître dans Ann. Sc. Norm. Super. Pisa Cl. Sci.., arXiv math.AG/2106.14453.
  6. Codimension one foliations on homogeneous varieties, avec V. Benedetti et A. Muniz, Adv. Math. 434 (2023), Paper No. 109332, 45 pp. arXiv math.AG/2209.06487.
  7. Ulrich Bundles on Cubic Fourfolds, avec Y. Kim, Comment. Math. Helv. 97 (2022), no. 4, 691-728. arXiv math.AG/2011.12622.
  8. A construction of equivariant bundles on the space of symmetric forms, avec A. Boralevi et P. Lella, Revista Matematica Iberoamericana (2021), DOI 10.4171/RMI/1307 arXiv math.AG/1804.06211.
  9. On stability of logarithmic tangent sheaves. Symmetric and generic determinants, avec S. Marchesi, International Mathematics Research Notices, rnab236 arXiv math.AG/abs/2101.06946.
  10. Ulrich bundles on K3 surfaces, Algebra Number Theory no. 6 (2019), 1443-1454, math.AG/arXiv:1807.07826.
  11. Non-Ulrich representation type, avec F. Malaspina, and G. Sanna Algebr. Geom. 8 (2021), no. 4, 405-429.
  12. The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties avec J. Pons-Llopis. Épijournal de Géométrie Algébrique, à paraître 5 (2021), Art. 8, 37 pp. arXiv math.AG/1504.03819.
  13. The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties, avec J. Pons-Llopis. Épijournal de Géométrie Algébrique, à paraître 5 (2021), Art. 8, 37 pp. arXiv math.AG/1504.03819.
  14. Triple planes with p_g=q=0 avec F. Polizzi et J. Vallès. Trans. Amer. Math. Soc., 371 (2019), no. 1, 589-639, arXiv math.AG/1605.02102.
  15. Rank two aCM bundles on the del Pezzo fourfold of degree 6 and its general hyperplane section, avec Francesco Malaspina et Gianfranco Casnati. J. Pure Appl. Algebra 222 (2018), no. 3, 585-609.
  16. Fano congruences of index 3 and alternating 3-forms, avec Pietro De Poi, Emilia Mezzetti et Kristian Ranestad, Ann. Inst. Fourier (Grenoble) 67 (2017), no. 5, 2099-2165.
  17. Surfaces of minimal degree of tame representation type and mutations of Cohen-Macaulay modules, avec Francesco Malaspina, Adv. Math. 310 (2017), 663-695. La version arXiv math.AG/1409 contient une précision sur l'un des énoncés de la version publiée.
  18. Truncated modules and linear presentations of vector bundles, avec A. Boralevi et P. Lella, Int. Mat. Res. Not. IMRN (2017) rnx032 (31 pages).
  19. Homological projective duality for determinantal varieties, avec Marcello Bernardara et Michele Bolognesi, Adv. Math. 296 (2016), 181-209.
  20. Yet again on two examples by Iyama and Yoshino, Bull. Lond. Math. Soc. 47 (2015), no. 5, 809-817.
  21. Moduli spaces of rank two aCM bundles on the Segre product of three projective lines, avec G. Casnati et F. Malaspina, J. Pure Appl. Algebra 220 (2016), no. 4, 1554-1575.
  22. Logarithmic bundles of deformed Weyl arrangements of type A2, avec T. Abe et J. Vallès. Bull. Soc. Math. France 144 (2016).
  23. On the derived category of the Cayley plane II, avec Laurent Manivel, Proc. Amer. Math. Soc. 143 (2015), no. 3, 1057-1074.
  24. Rank 2 ACM bundles on the del Pezzo threefold of Picard number 3, avec Francesco Malaspina et Gianfranco Casnati. J. Algebra 429 (2015), 413-446.
  25. Logarithmic bundles and Line arrangements, an approach via the standard construction, avec J. Vallès, J. London Math. Soc. 90 (2014), no. 3, 675-694.
  26. On the Hilbert scheme of varieties defined by maximal minors, avec Maria Lucia Fania, Math. Res. Lett. 21 (2014), no. 2, 297-311.
  27. A refined stable restriction theorem for vector bundles on quadric threefolds , avec Iustin Coanda, Ann. Mat. Pura Appl., (4) 193 (2014), no. 3, 859-887.
  28. Even and odd instantons on Fano threefolds of Picard number 1, Manuscripta Math.144 (2014), no. 1-2, 199-239.
  29. Vector bundles on Fano threefolds of genus 7 and Brill-Noether loci, avec Chiara Brambilla, Internat. J. Math. 25 (2014), no. 3, 1450023 (59 pages).
  30. Linear spaces of matrices of constant rank and instanton bundles, avec Ada Boralevi et Emilia Mezzetti, Adv. Math. 248 (2013), 895-920.
  31. Hyperplane arrangements of Torelli type, avec Daniel Matei et Jean Vallès, Compositio Math. 149 (2013) no. 2, 309-332.
  32. Rank 2 stable sheaves with odd determinant on Fano threefolds of genus 9, avec Chiara Brambilla, Math. Z. 275 (2013) no. 1-2, 185-210.
  33. A smooth surface of tame representation type, avec Francesco Malaspina, C. R. Math. Acad. Sci. Paris 351 (201 3) no. 9-10 371-374.
  34. Moduli space of rank 2 ACM bundles on prime Fano threefolds, avec Chiara Brambilla, Michigan Math. J. 60 (2011) no. 1, 113-148.
  35. Skew-symmetric matrices and Palatini scrolls, avec Maria Lucia Fania, Math. Ann. 347 (2010) no. 4, 859-883.
  36. Rank 2 arithmetically Cohen-Macaulay bundles on a general quintic surface, avec Luca Chiantini, Math. Nachr. 282 (2009) no. 12, 1691-1708.
  37. On general surfaces defined by an almost linear Pfaffian, avec Luca Chiantini, Geom. Dedicata 142 (2009) no.1, 91-107.
  38. Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface, J. Algebra 319 (2008), 143-186.
  39. Homogeneous instanton bundles on P3 for the action of SL(2), J. Geom. Phys. (2007) 57, 2146-2157.
  40. Bundles over Fano threefolds of type V22, Ann. Mat. Pura Appl. (4) 186 (2007), no. 1, 1-24.
  41. Cohomology of Tango bundle on P5, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 9 (2006), no. 2, 319-326.
  42. Vector bundles with no intermediate cohomology on Fano threefolds of type V22, avec Enrique Arrondo, Pacific J. Math. 225 (2006) No. 2, 201-220.
  43. Bundles over the Fano threefold V5, Comm. Algebra, 33 (2005), no. 9, 3061-3080.
  44. A geometric construction of Tango bundle on P5, Kodai Math. J. 27 (2004), no. 1, 1-6.
  45. A small resolution for triple covers in algebraic geometry, avec Janis Stipins. Matematiche (Catania) 56 (2001), no. 2, 257-267.

Actes de colloques

  1. A remark on hyperplane sections of rational normal scrolls, avec Aldo Conca. Dedicated to Dorin Popescu in honour of his 70th birthday. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 60(108) (2017), no. 4, 337-349.
  2. A one-day tour of representations and invariants of quivers. School and workshop on invariant theory and projective geometry (Trento, 2012). Rend. Semin. Mat. Univ. Politec. Torino à paraître (2013), 32 pages.
  3. Freeness of line arrangements with many concurrent lines, avec Jean Vallès, Eleventh International Conference Zaragoza-Pau on Applied Mathematics and Statistics, 133-137, Monogr. Mat. García Galdeano, 37, Prensas Univ. Zaragoza, Zaragoza (2012).
  4. Moduli spaces of arithmetically Cohen-Macaulay bundles on Fano manifolds of the principal series, avec M. C. Brambilla. Boll. Unione Mat. Ital. (9) 2 (2009), no. 1, 71-91.
  5. A remark on Pfaffian surfaces and aCM bundles Workshop on vector bundles and low codimensional subvarieties, ITC-IRST Povo (Trento, 2008). Enlarged version.

Prépublications

  1. A generalized Saito freeness criterion, avec M. Jardim et J. Vallès, https://arxiv.org/abs/2407.14082
  2. Logarithmic vector fields and foliations on toric varieties, avec M. Jardim et W. D. Montoya, https://arxiv.org/abs/2408.10671
  3. Anti-symplectic involutions on moduli spaces of sheaves on K3 surfaces via auto-equivalences, avec G. Menet et Y. Prieto Montañez, https://arxiv.org/abs/2407.14082
  4. Logarithmic Derivations of Adjoint Discriminants, avec V. Benedetti et S. Marchesi, https://arxiv.org/abs/2312.13656
  5. Derived category of the spinor 15-fold, avec V. Benedetti, M. Smirnov, arXiv math.AG/2310.01090.
  6. Moduli space of a family of Homogeneous bundles on P2, avec Oskar Kedzierski. Quaderno del dipartimento Ulisse Dini, 2005.
  7. A simple vanishing theorem for twisted holomorphic forms on Hermitian Symmetric Varieties, avec Carla Dionisi, 2004. Beware, this paper contains a crucial mistake.