Ballard, Matthew R.; Duncan, Alexander; Lamarche, Alicia; McFaddin, Patrick K. Separable algebras and coflasque resolutions. (English) Zbl 07837845 Adv. Math. 444, Article ID 109596, 39 p. (2024). Reviewer: Giancarlo Lucchini Arteche (Santiago) MSC: 11E72 12G05 14F20 14G25 14G27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew R.; Iyengar, Srikanth B.; Lank, Pat; Mukhopadhyay, Alapan; Pollitz, Josh High Frobenius pushforwards generate the bounded derived category. arXiv:2303.18085 Preprint, arXiv:2303.18085 [math.AG] (2023). MSC: 14A30 13A35 14G17 13D09 × Cite Format Result Cite Full Text: arXiv
Ballard, Matthew R.; Duncan, Alexander; McFaddin, Patrick K. Derived categories of centrally-symmetric smooth toric Fano varieties. (English) Zbl 1521.14037 Math. Nachr. 295, No. 2, 218-241 (2022). MSC: 14F08 14J20 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Farman, Blake Kernels for noncommutative projective schemes. (English) Zbl 1493.14003 J. Noncommut. Geom. 15, No. 4, 1129-1180 (2021). MSC: 14A22 14A30 14F08 16E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew R.; Chidambaram, Nitin K.; Favero, David; McFaddin, Patrick K.; Vandermolen, Robert R. Kernels for Grassmann flops. (English. French summary) Zbl 1468.14034 J. Math. Pures Appl. (9) 147, 29-59 (2021). MSC: 14F08 14E05 14L24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew R.; Duncan, Alexander; Lamarche, Alicia; McFaddin, Patrick K. Consequences of the existence of exceptional collections in arithmetic and rationality. arXiv:2009.10175 Preprint, arXiv:2009.10175 [math.AG] (2020). MSC: 14E08 14F08 14L99 × Cite Format Result Cite Full Text: arXiv OA License
Ballard, Matthew R.; Duncan, Alexander; McFaddin, Patrick K. The toric Frobenius morphism and a conjecture of Orlov. (English) Zbl 1423.14286 Eur. J. Math. 5, No. 3, 640-645 (2019). MSC: 14M25 14F05 18G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Duncan, Alexander; McFaddin, Patrick On derived categories of arithmetic toric varieties. (English) Zbl 1458.14022 Ann. \(K\)-Theory 4, No. 2, 211-242 (2019). MSC: 14F08 14M25 14G27 19E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Favero, David; Katzarkov, Ludmil Variation of geometric invariant theory quotients and derived categories. (English) Zbl 1432.14015 J. Reine Angew. Math. 746, 235-303 (2019). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14F08 14L24 14D07 14D22 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil On the derived categories of degree \(d\) hypersurface fibrations. (English) Zbl 1423.14114 Math. Ann. 371, No. 1-2, 337-370 (2018). MSC: 14F05 14D06 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew Robert Wall crossing for derived categories of moduli spaces of sheaves on rational surfaces. (English) Zbl 1405.14110 Algebr. Geom. 4, No. 3, 263-280 (2017). Reviewer: P. E. Newstead (Liverpool) MSC: 14J60 14F05 14J26 18E30 14D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil Homological projective duality via variation of geometric invariant theory quotients. (English) Zbl 1400.14048 J. Eur. Math. Soc. (JEMS) 19, No. 4, 1127-1158 (2017). Reviewer: Zhenbo Qin (Columbia) MSC: 14F05 18E30 14N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew R.; Diemer, Colin; Favero, David Kernels from Compactifications. arXiv:1710.01418 Preprint, arXiv:1710.01418 [math.AG] (2017). × Cite Format Result Cite Full Text: arXiv OA License
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil Resolutions in factorization categories. (English) Zbl 1353.13016 Adv. Math. 295, 195-249 (2016). Reviewer: Michael Brown (Bonn) MSC: 13D09 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Diemer, Colin; Favero, David; Katzarkov, Ludmil; Kerr, Gabriel The Mori program and non-Fano toric homological mirror symmetry. (English) Zbl 1400.14104 Trans. Am. Math. Soc. 367, No. 12, 8933-8974 (2015). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14J33 53D37 18E30 14T05 14L24 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Favero, David; Katzarkov, Ludmil A category of kernels for equivariant factorizations and its implications for Hodge theory. (English) Zbl 1401.14086 Publ. Math., Inst. Hautes Étud. Sci. 120, 1-111 (2014). Reviewer: Pawel Sosna (Hamburg) (MR3270588) MSC: 14F05 14C30 18E30 18G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ballard, Matthew; Favero, David; Katzarkov, Ludmil A category of kernels for equivariant factorizations. II: Further implications. (English) Zbl 1326.14036 J. Math. Pures Appl. (9) 102, No. 4, 702-757 (2014). Reviewer: Ana Ros Camacho (Paris) MSC: 14F05 14J33 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Favero, David; Katzarkov, Ludmil Orlov spectra: bounds and gaps. (English) Zbl 1266.14013 Invent. Math. 189, No. 2, 359-430 (2012). Reviewer: Marcello Bernardara (Toulouse) MSC: 14F05 18E30 14E08 14J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Favero, David Hochschild dimensions of tilting objects. (English) Zbl 1250.18011 Int. Math. Res. Not. 2012, No. 11, 2607-2645 (2012). Reviewer: Pawel Sosna (Hamburg) MSC: 18E30 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew Robert Derived categories of sheaves on singular schemes with an application to reconstruction. (English) Zbl 1213.14031 Adv. Math. 227, No. 2, 895-919 (2011). Reviewer: Pawel Sosna (Milano) MSC: 14F05 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew Robert Equivalences of derived categories of sheaves on quasi-projective schemes. arXiv:0905.3148 Preprint, arXiv:0905.3148 [math.AG] (2009). × Cite Format Result Cite Full Text: arXiv OA License
Ballard, Matthew Robert Meet homological mirror symmetry. (English) Zbl 1155.14307 Yui, Noriko (ed.) et al., Modular forms and string duality. Proceedings of a workshop, Banff, Canada, June 3–8, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4484-7/hbk). Fields Institute Communications 54, 191-224 (2008). MSC: 14J32 18E30 53D40 53D35 × Cite Format Result Cite Review PDF Full Text: arXiv
Ballard, Matthew Robert Sheaves on local Calabi-Yau varieties. arXiv:0801.3499 Preprint, arXiv:0801.3499 [math.AG] (2008). × Cite Format Result Cite Full Text: arXiv