Abstract
Let C be a curve of genus
Funding source: European Research Council
Award Identifier / Grant number: WallXBirGeom 337039
Funding statement: The author was supported by the ERC starting grant WallXBirGeom 337039.
Acknowledgements
I would like to thank Arend Bayer for many useful discussions. I am grateful for comments by Benjamin Bakker, Gavril Farkas, Chunyi Li and Bach Tran. I would also like to thank the referees for their careful reading of the paper, and for many useful suggestions.
References
[1] E. Arbarello, A. Bruno and E. Sernesi, Mukai’s program for curves on a K3 surface, Algebr. Geom. 1 (2014), no. 5, 532–557. 10.14231/AG-2014-023Search in Google Scholar
[2] A. Bayer, Wall-crossing implies Brill–Noether: applications of stability conditions on surfaces, Algebraic geometry: Salt Lake City 2015, Proc. Sympos. Pure Math. 97, American Mathematical Society, Providence (2018), 3–27. 10.1090/pspum/097.1/01Search in Google Scholar
[3] U. N. Bhosle and S. K. Singh, Brill–Noether loci and generated torsionfree sheaves over nodal and cuspidal curves, Manuscripta Math. 141 (2013), no. 1–2, 241–271. 10.1007/s00229-012-0571-0Search in Google Scholar
[4] T. Bridgeland, Stability conditions on triangulated categories, Ann. of Math. (2) 166 (2007), no. 2, 317–345. 10.4007/annals.2007.166.317Search in Google Scholar
[5]
T. Bridgeland,
Stability conditions on
[6]
C. Ciliberto, A. Lopez and R. Miranda,
Projective degenerations of
[7]
M. Green and R. Lazarsfeld,
Special divisors on curves on a
[8] D. Huybrechts, Lectures on K3 surfaces, Cambridge Stud. Adv. Math. 158, Cambridge University Press, Cambridge 2016. 10.1017/CBO9781316594193Search in Google Scholar
[9] D. Huybrechts and M. Lehn, The geometry of moduli spaces of sheaves, 2nd ed., Cambridge Math. Lib., Cambridge University Press, Cambridge 2010. 10.1017/CBO9780511711985Search in Google Scholar
[10]
D. Huybrechts and P. Stellari,
Equivalences of twisted
[11] A. Maciocia, Computing the walls associated to Bridgeland stability conditions on projective surfaces, Asian J. Math. 18 (2014), no. 2, 263–279. 10.4310/AJM.2014.v18.n2.a5Search in Google Scholar
[12] E. Macrì and B. Schmidt, Lectures on Bridgeland stability, Moduli of curves, Lect. Notes Unione Mat. Ital. 21, Springer, Cham (2017), 139–211. 10.1007/978-3-319-59486-6_5Search in Google Scholar
[13]
S. Mukai,
On the moduli space of bundles on
[14]
S. Mukai,
Curves,
[15]
S. Mukai,
Curves and
[16] S. Mukai, Noncommutativizability of Brill–Noether theory and 3-dimensional Fano varieties, Sūgaku 49 (1997), no. 1, 1–24. Search in Google Scholar
[17] K. Yoshioka, Perverse coherent sheaves and Fourier–Mukai transforms on surfaces, II, Kyoto J. Math. 55 (2015), no. 2, 365–459. 10.1215/21562261-2871785Search in Google Scholar
© 2021 Walter de Gruyter GmbH, Berlin/Boston