Papers.html     PAPERS and PREPRINTS of Filippo Viviani


(46) A complete theory of smoothable compactified Jacobians of nodal curves (joint with M. Fava, N. Pagani) Preprint  arXiv:2412.03532

(45) The line bundles on the moduli stack of principal bundles on families of curves (joint with R. Fringuelli). To appear on Proc. Edinburgh Math. Society. Preprint  arXiv:2401.02204

(44) On the classification of fine compactified Jacobians of nodal curves. Preprint  arXiv:2310.20317

(43) Slope inequalities for KSB-stable and K-stable families (joint with G. Codogni, L. Tasin). Proc. Lond. Math. Soc. (3) 126 (2023), no. 4, 1394--1465. arXiv:2107.09553

(42) The Picard group of the universal moduli stack of principal bundles on pointed smooth curves II (joint with R. Fringuelli). Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)Vol. XXIV (2023), 367-447. arXiv:2009.06274

(41) On the Picard group scheme of the moduli stack of stable pointed curves (joint with R. Fringuelli). Preprint  arXiv:2005.06920

(40) On the first steps of the minimal model program for the moduli space of stable pointed curves (joint with G. Codogni, L. Tasin). J. Inst. Math. Jussieu 22 (2023), 145–211. arXiv:1808.00231

(39) Tropicalization of the universal Jacobian (joint with M. Melo, S. Molcho, M. Ulirsch). Épijournal de Géométrie Algébrique, Volume 6 (2022), Article Nr. 15. arXiv:2108.04711

(38) The Picard group of the universal moduli stack of principal bundles on pointed smooth curves (joint with R. Fringuelli). J. of Topology 15 (2022), 2065--2142. arXiv:2002.07494

(37) On some modular contractions of the moduli space of stable pointed curves (joint with G. Codogni, L. Tasin). Algebra & Number Theory 15-5 (2021), 1245--1281. arXiv:1904.13212

(36) A support theorem for Hilbert schemes of planar curves, II (joint with L. Migliorini, V. Schende). Compositio Math. 157 (2021), 835--882. arXiv:1508.07602

(35) Effective cycles on the symmetric product of a curve, II: the Abel-Jacobi faces (joint with F. Bastianelli, A. Kouvidakis, A.F. Lopez). Rend. Lincei Mat. Appl. 31 (2020), 839--878. arXiv:1711.07725.

(34) Effective cycles on the symmetric product of a curve, I: the diagonal cone (joint with F. Bastianelli, A. Kouvidakis, A.F. Lopez, with an Appendix of B. Moonen). Trans. Amer. Math. Soc. 372 (2019), no. 12, 8709-8758. arXiv:1711.07722.

(33) Moduli and periods of supersymmetric curves (joint with G. Codogni). Advances in Theoretical and Mathematical Physics, Vol. 23, No. 2 (2019), pp. 345-402.   arXiv:1706.04910

(32) Fourier-Mukai and autoduality for compactified Jacobians II (joint with M. Melo, A. Rapagnetta). Geometry & Topology 23-5 (2019), 2335--2395. arXiv:1308.0564

(31) Fourier-Mukai and autoduality for compactified Jacobians I (joint with M. Melo, A. Rapagnetta). J. Reine Angew. Math. 755 (2019), 1-65. arXiv:1207.7233

(30) The singularities and birational geometry of the universal compactified Jacobian (joint with S. Casalaina-Martin, J. L. Kass). Algebraic Geometry 4 (3) (2017), 353-393. arXiv:1408.3494

(29) Fine compactified Jacobians of reduced curves (joint with M. Melo, A. Rapagnetta). Trans. Amer. Math. Soc. 369 (2017), no. 8, 5341-5402. arXiv:1406.2299

(28) Moriwaki divisors and the augmented base loci of divisors on the moduli space of curves (joint with S. Cacciola, A. F. Lopez). Michigan Math. J. 65 (2016), no. 3, 533--546. arXiv:1305.1265

(27) The Local Structure of Compactified Jacobians (joint with S. Casalaina-Martin, J. L. Kass). Proc. London Math. Soc. 110 (2015), 510--542.
arXiv:1107.4166


(26) Geometric invariant theory for polarized curves (joint with G. Bini, F. Felici, M. Melo). Lecture Notes in Mathematics 2122 (2014). Preprint arXiv:1109.6908

(25) A tour on Hermitian symmetric manifolds. Combinatorial Algebraic Geometry (Levico Terme, Italy 2013), Editors: Sandra Di Rocco, Bernd Sturmfels. Lecture Notes in Mathematics 2108, pp. 149--239 (2014). arXiv:1310.3665

(24) The Picard group of the compactified universal Jacobian (joint with M. Melo). Documenta Math. 19 (2014), 457--507. arXiv:1007.4519

(23) Tropicalizing vs Compactifying the Torelli morphism. Tropical and Non-Archimedean Geometry (Proceedings of the Conference Tropical and Non Archimedean Geometry, Bellairs Research Institute, May 2011), Contemp. Math. 605 (2013), 181--210. arXiv:1204.3875

(22) The geometry and combinatorics of cographic toric face rings (joint with S. Casalaina-Martin, J. L. Kass). Algebra & Number Theory 7 (2013), no. 8, 1781--1815. arXiv:1102.2547

(21) Tropical Teichmuller and Siegel spaces (joint with M. Chan, M. Melo). Algebraic and Combinatorial Aspects of Tropical Geometry (Proceedings of CIEM workshop on tropical geometry, Castro Urdiales, December 2011), Contemp. Math. 589 (2013), 45--85
arXiv:1207.2443

(20) Comparing perfect and 2nd Voronoi decompositions: the matroidal locus (joint with M. Melo). Math. Ann. 354 (2012), no. 4, 1521--1554. arXiv:1106.3291

(19) Restricted infinitesimal deformations of restricted simple Lie algebras. J. Algebra Appl. 11 (2012), no. 5, 1250091, 19 pp.  arXiv:0705.0821

(18) Fine compactified Jacobians (joint with M. Melo). Math. Nachr. 285 (2012), no. 8-9, 997--1031. 
arXiv:1009.3205

(17) On GIT quotients of Hilbert and Chow schemes of curves (joint with G. Bini, M. Melo). Electron. Res. Announc. Math. Sci. 19 (2012), 33--40. 
arXiv:1109.3645

(16) On the birational geometry of the universal Picard variety (joint with G. Bini, C. Fontanari). Int. Math. Res. Not. IMRN 2012, no. 4, 740--780.
arXiv:1006.0722

(15) The Chow ring of the stack of cyclic covers of the projective line (joint with D. Fulghesu). Ann. Inst. Fourier (Grenoble) 61 (2011), no. 6, 2249--2275.  arXiv:1003.4091


(14) Torelli theorem for stable curves (joint with L. Caporaso). J. Eur. Math. Soc. (JEMS) 13 (2011), no. 5, 1289--1329. 
arXiv:0904.4039

(13) On the tropical Torelli map (joint with S. Brannetti, M. Melo). Adv. Math. 226 (2011), no. 3, 2546--2586. 
arXiv:0907.3324

(12) Simple finite group schemes and their infinitesimal deformations. Rend. Semin. Mat. Univ. Politec. Torino 68 (2010), no. 2, 171--182. 
arXiv:0811.2668

(11) Torelli theorem for graphs and tropical curves (joint with L. Caporaso). Duke Math. J. 153 (2010), no. 1, 129--171. 
arXiv:0901.1389

(10) Deformations of the restricted Melikian Lie algebra. Comm. Algebra 37 (2009), no. 6, 1850--1872. 
arXiv:math/0702594

(9) Infinitesimal deformations of restricted simple Lie algebras II. J. Pure Appl. Algebra 213 (2009), no. 9, 1702--1721. 
arXiv:math/0702499

(8) A note in families of hyperelliptic curves (joint with S. Gorchinskiy) Arch. Math. (Basel) 92 (2009), no. 2, 119--128.
arXiv:0802.0635

(7) Cohomological support loci for Abel-Prym curves (joint with S. Casalaina Martin and M. Lahoz). Matematiche 63 (2008), no. 1, 205--222.  arXiv:0802.3683


(6) Infinitesimal deformations of restricted simple Lie algebras I.
J. Algebra 320 (2008), no. 12, 4102--4131.  arXiv:math/0612861

(5) Deformazioni di algebre di Lie semplici ristrette. Matematica nella Societa' e nella Cultura 1 (2008), no. 2, 371--374.


(4) Picard group of moduli of hyperelliptic curves (joint with S. Gorchinskiy). Math. Zeit. 258 (2008), no. 2, 319--331. arXiv:math/0609705

(3) Restricted simple Lie algebras and their infinitesimal deformations. From Lie Algebras to Quantum Groups (Proceedings of the Conference "From Lie Algebras to Quantum groups", Coimbra, June 2006), Centro International de Matematica no. 28 (2006), 197--210. arXiv:math/0702755

(2) Families of n-gonal curves with maximal variation of moduli (joint with S. Gorchinskiy). Matematiche 61 (2006), no. 1, 185--209.  arXiv:math/0511625


(1) Ramification groups and Artin conductors of radical extensions of the rationals. Journal des Th?orie des Nombres de Bordeaux 16 (2004), no. 3, 779--816. arXiv:math/0409533