Kuznetsov, Alexander Semiorthogonal decompositions in families. (English) Zbl 07821736 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1154-1200 (2023). MSC: 18G80 14D06 14E15 14N35 PDFBibTeX XMLCite \textit{A. Kuznetsov}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1154--1200 (2023; Zbl 07821736) Full Text: DOI arXiv OA License
Kuznetsov, Alexander; Prokhorov, Yuri Rationality of Fano threefolds over non-closed fields. (English) Zbl 1525.14022 Am. J. Math. 145, No. 2, 335-411 (2023). Reviewer: Anton Fonarev (Moskva) MSC: 14Exx 14E08 14J45 PDFBibTeX XMLCite \textit{A. Kuznetsov} and \textit{Y. Prokhorov}, Am. J. Math. 145, No. 2, 335--411 (2023; Zbl 1525.14022) Full Text: DOI arXiv
Kuznetsov, Alexander; Prokhorov, Yuri Prime Fano threefolds of genus 12 with a \(\mathbb{G}_m\)-action. (Solides de Fano primitifs de genre 12 avec action de \(\mathbb{G}_m\) et leurs automorphismes.) (English. French summary) Zbl 1411.14046 Épijournal de Géom. Algébr., EPIGA 2, Article No. 3, 14 p. (2018). Reviewer: Artie Prendergast-Smith (Loughborough) MSC: 14J45 14J50 PDFBibTeX XMLCite \textit{A. Kuznetsov} and \textit{Y. Prokhorov}, Épijournal de Géom. Algébr., EPIGA 2, Article No. 3, 14 p. (2018; Zbl 1411.14046) Full Text: arXiv Link
Kuznetsov, A. G. Derived categories of cubic and \(V_{14}\) threefolds. (English. Russian original) Zbl 1107.14028 Proc. Steklov Inst. Math. 246, 171-194 (2004); translation from Tr. Mat. Inst. Steklova 246, 183-207 (2004). Reviewer: Daniele Faenzi (Firenze) MSC: 14J30 14J45 14J60 14F05 PDFBibTeX XMLCite \textit{A. G. Kuznetsov}, in: Algebraic geometry. Methods, relations, and applications. Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin. Moscow: Maik Nauka/Interperiodica. 171--194 (2004; Zbl 1107.14028); translation from Tr. Mat. Inst. Steklova 246, 183--207 (2004) Full Text: arXiv
Kuznetsov, A. G. Exceptional collection of vector bundles on \(V_{22}\) Fano threefolds. (English. Russian original) Zbl 0913.14010 Mosc. Univ. Math. Bull. 51, No. 3, 35-37 (1996); translation from Vestn. Mosk. Univ., Ser. I 1996, No. 3, 41-44 (1996). Reviewer: V.G.Miladzhanov (Andizhan) MSC: 14J60 14J45 14F05 14J30 PDFBibTeX XMLCite \textit{A. G. Kuznetsov}, Mosc. Univ. Math. Bull. 51, No. 3, 41--44 (1996; Zbl 0913.14010); translation from Vestn. Mosk. Univ., Ser. I 1996, No. 3, 41--44 (1996)