Publications
2020
A k-linear triangulated category without a model
Rizzardo, A., & Bergh, M. V. D. (2020). A k-linear triangulated category without a model. Annals of Mathematics, 191(2), 393-437. doi:10.4007/annals.2020.191.2.3
2019
New examples of non-Fourier-Mukai functors
Raedschelders, T., Rizzardo, A., & Van den Bergh, M. (2022). New examples of non-Fourier-Mukai functors. COMPOSITIO MATHEMATICA, 158(6), 1254-1267. doi:10.1112/S0010437X22007540
An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves
Rizzardo, A., Van den Bergh, M., & Neeman, A. (2019). An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves. Inventiones Mathematicae, 216, 927-1004. doi:10.1007/s00222-019-00862-9
2017
Adjoints to a Fourier–Mukai functor
Rizzardo, A. (2017). Adjoints to a Fourier–Mukai functor. Advances in Mathematics, 322, 83-96. doi:10.1016/j.aim.2017.10.015
A note on non-unique enhancements
Rizzardo, A., & Van den Bergh, M. (2019). A NOTE ON NON-UNIQUE ENHANCEMENTS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 147(2), 451-453. doi:10.1090/proc/14065
2015
Scalar extensions of derived categories and non-Fourier-Mukai functors
Rizzardo, A., & Van den Bergh, M. (2015). Scalar extensions of derived categories and non-Fourier-Mukai functors. ADVANCES IN MATHEMATICS, 281, 1100-1144. doi:10.1016/j.aim.2015.05.013
2014
Representability of cohomological functors over extension fields
Rizzardo, A. (2017). Representability of cohomological functors over extension fields. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 11(4), 1267-1287. doi:10.4171/JNCG/11-4-2
2012
On the existence of Fourier-Mukai functors
Rizzardo, A. (2017). On the existence of Fourier-Mukai functors. MATHEMATISCHE ZEITSCHRIFT, 287(1-2), 155-179. doi:10.1007/s00209-016-1821-8