Prokhorov, Yuri Effective results in the three-dimensional minimal model program. (English) Zbl 07823064 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2324-2345 (2023). MSC: 14E30 14J30 14B05 14E05 PDFBibTeX XMLCite \textit{Y. Prokhorov}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 2324--2345 (2023; Zbl 07823064) Full Text: DOI arXiv OA License
Prokhorov, Yu. G. Equivariant minimal model program. (English. Russian original) Zbl 1478.14030 Russ. Math. Surv. 76, No. 3, 461-542 (2021); translation from Usp. Mat. Nauk 76, No. 3, 93-182 (2021). Reviewer: Anne-Sophie Kaloghiros (London) MSC: 14E30 14E07 14J50 PDFBibTeX XMLCite \textit{Yu. G. Prokhorov}, Russ. Math. Surv. 76, No. 3, 461--542 (2021; Zbl 1478.14030); translation from Usp. Mat. Nauk 76, No. 3, 93--182 (2021) Full Text: DOI
Mori, Shigefumi; Prokhorov, Yuri G. General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. (English. Russian original) Zbl 1478.14029 Sb. Math. 212, No. 3, 351-373 (2021); translation from Mat. Sb. 212, No. 3, 88-111 (2021). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E30 14J30 14J17 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. G. Prokhorov}, Sb. Math. 212, No. 3, 351--373 (2021; Zbl 1478.14029); translation from Mat. Sb. 212, No. 3, 88--111 (2021) Full Text: DOI arXiv
Mori, S.; Prokhorov, Yu. G. Threefold extremal curve germs with one non-Gorenstein point. (English. Russian original) Zbl 1442.14043 Izv. Math. 83, No. 3, 565-612 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 158-212 (2019). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E05 14E30 14J17 14J30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Yu. G. Prokhorov}, Izv. Math. 83, No. 3, 565--612 (2019; Zbl 1442.14043); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 158--212 (2019) Full Text: DOI arXiv
Prokhorov, Yuriĭ G. The rationality problem for conic bundles. (English. Russian original) Zbl 1400.14040 Russ. Math. Surv. 73, No. 3, 375-456 (2018); translation from Usp. Mat. Nauk 73, No. 3, 3-88 (2018). Reviewer: Chen Jiang (Tokyo) MSC: 14E05 14J30 14E07 14E30 14J45 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Russ. Math. Surv. 73, No. 3, 375--456 (2018; Zbl 1400.14040); translation from Usp. Mat. Nauk 73, No. 3, 3--88 (2018) Full Text: DOI arXiv
Mori, Shigefumi; Prokhorov, Yuri 3-fold extremal contractions of types (IC) and (IIB). (English) Zbl 1296.14030 Proc. Edinb. Math. Soc., II. Ser. 57, No. 1, 231-252 (2014). Reviewer: Ilya Karzhemanov (Kashiwa) MSC: 14J30 14E05 14E30 PDFBibTeX XMLCite \textit{S. Mori} and \textit{Y. Prokhorov}, Proc. Edinb. Math. Soc., II. Ser. 57, No. 1, 231--252 (2014; Zbl 1296.14030) Full Text: DOI arXiv