PUBLICATIONS of Margarida Melo
See also my google scholar page and my pubblications at arXiv.
Published Papers
- Tropicalization of the universal Jacobian. (with S. Moulcho, M. Ulirsch and F. Viviani). Épijournal Géom. Algébrique 6 (2022), Art. 15, 51 pp. arXiv 2108.04711.
- On the Top-weight rational cohomology of Ag. (with M. Brandt, J. Bruce, M. Chan, G. Moreland and C. Wolfe). To appear in Geometry & Topology. arXiv 2012.02892.
- Theta characteristics on tropical curves. (with L. Caporaso and M. Pacini). To appear in Journal of Pure and Applied Algebra (2023). arXiv 2010.00894.
- Tropicalizing the moduli space of spin curves (with L. Caporaso and M. Pacini). Sel. Math New Ser. 26, 16 (2020). arXiv:1902.07803
- Universal compactified Jacobian. Port. Math. (N.S.) 76, No. 2, 101-122 (2019). arXiv:1509.06177
- Fourier-Mukai and autoduality for compactified Jacobians II (joint with A. Rapagnetta and F. Viviani). Geom. & Top. 23, No. 5, 2335-2395 (2019). arXiv:1308.0564
- Fourier-Mukai and autoduality for compactified Jacobians I (joint with A. Rapagnetta and F. Viviani). Journal für die reine und angewandte Mathematik (Crelle's journal) 755, 1-65 (2019). arXiv:1207.7233
- Fine compactified Jacobians of reduced curves (joint with A. Rapagnetta and F. Viviani). To appear in Trans. Amer. Math. Soc. arXiv:1406.2299
- Universal Néron models for curves with marked points. Boll. Unione Mat. Ital. 10, No. 3, 321-334 (2017). arXiv:1602.05621.
- Algebraic and combinatorial rank of divisors on finite graphs (with Lucia Caporaso and Yoav Len). J. des Math. Pures et Appl. 104, no. 2 (2015), 227-257. arXiv:1401.5730.
- The Picard group of the compactified universal Jacobian (joint with F. Viviani). Documenta Math. 19 (2014), 457-507. arXiv:1007.4519
- Tropical Teichmuller and Siegel spaces (joint with M. Chan, F. Viviani). 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
- Comparing perfect and 2nd Voronoi decompositions: the matroidal locus (joint with F. Viviani). Math. Ann. 354 (2012), no. 4, 1521-1554. arXiv:1106.3291
- Fine compactified Jacobians (joint with F. Viviani). Math. Nachr. 285 (2012), no. 8-9, 997-1031. arXiv:1009.3205
- On GIT quotients of Hilbert and Chow schemes of curves (joint with G. Bini, F. Viviani). Electron. Res. Announc. Math. Sci. 19 (2012), 33-40. arXiv:1109.3645
- On the tropical Torelli map (joint with S. Brannetti, F. Viviani). Adv. Math. 226 (2011), no. 3, 2546-2586. arXiv:0907.3324
- Compactified Picard stacks over the moduli stack of stable curves with marked points. Advances in Mathematics 226 (2011) No. 1, 727-763. arXiv:0811.0763
- On the complexity group of stable curves (with Simone Busonero and Lidia Stoppino). Advances in Geometry 11 (2011), no. 2, 241-272. arXiv:0808.1529
- Compactified Picard stacks over Mg. Mathematische Zeitschricht 263 (2009), no. 4, 939-957. arXiv:0710.3008
- Combinatorial aspects of nodal curves (with S. Busonero and L. Stoppino). Le Matematiche 61 (2006), no. 1, 109-141. arXiv:0602553
Books
- Geometric invariant theory for polarized curves (joint with G. Bini, F. Felici, F. Viviani). Lecture Notes in Mathematics 2122 (2014). arXiv:1109.6908
Preprints
- Compactifications of the universal Jacobian over curves with marked points. Preprint arXiv:1509.06177