de Fernex, Tommaso Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points. (English) Zbl 07670382 Rend. Circ. Mat. Palermo (2) 72, No. 2, 1049-1065 (2023). MSC: 14J45 14M20 14E08 32Q20 PDFBibTeX XMLCite \textit{T. de Fernex}, Rend. Circ. Mat. Palermo (2) 72, No. 2, 1049--1065 (2023; Zbl 07670382) Full Text: DOI arXiv
Prokhorov, Yuri G. Rationality of Fano threefolds with terminal Gorenstein singularities. I. (English. Russian original) Zbl 1471.14032 Proc. Steklov Inst. Math. 307, 210-231 (2019); translation from Tr. Mat. Inst. Steklova 307, 230-253 (2019). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E08 14M20 14J45 PDFBibTeX XMLCite \textit{Y. G. Prokhorov}, Proc. Steklov Inst. Math. 307, 210--231 (2019; Zbl 1471.14032); translation from Tr. Mat. Inst. Steklova 307, 230--253 (2019) Full Text: DOI arXiv
Pukhlikov, A. V. Birationally rigid complete intersections with a singular point of high multiplicity. (English) Zbl 1421.14005 Proc. Edinb. Math. Soc., II. Ser. 62, No. 1, 221-239 (2019). Reviewer: Chen Jiang (Shanghai) MSC: 14E05 14E07 PDFBibTeX XMLCite \textit{A. V. Pukhlikov}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 1, 221--239 (2019; Zbl 1421.14005) Full Text: DOI arXiv
Pukhlikov, Aleksandr V. Automorphisms of certain affine complements in projective space. (English. Russian original) Zbl 1439.14052 Sb. Math. 209, No. 2, 276-289 (2018); translation from Mat. Sb. 209, No. 2, 138-152 (2018). MSC: 14E07 14J50 14E05 14R10 PDFBibTeX XMLCite \textit{A. V. Pukhlikov}, Sb. Math. 209, No. 2, 276--289 (2018; Zbl 1439.14052); translation from Mat. Sb. 209, No. 2, 138--152 (2018) Full Text: DOI arXiv
Suzuki, Fumiaki Birational rigidity of complete intersections. (English) Zbl 1387.14052 Math. Z. 285, No. 1-2, 479-492 (2017). Reviewer: Ilya Karzhemanov (Moscow) MSC: 14E08 14B05 14E05 14J45 PDFBibTeX XMLCite \textit{F. Suzuki}, Math. Z. 285, No. 1--2, 479--492 (2017; Zbl 1387.14052) Full Text: DOI arXiv
Pukhlikov, A. V. Birational geometry of higher-dimensional Fano varieties. (English. Russian original) Zbl 1371.14049 Proc. Steklov Inst. Math. 288, Suppl. 2, 1-150 (2015); translation from Sovrem. Probl. Mat. 2014, No. 19, 7-173 (2014). Reviewer: Ilya Karzhemanov (Moscow) MSC: 14J45 14E30 PDFBibTeX XMLCite \textit{A. V. Pukhlikov}, Proc. Steklov Inst. Math. 288, 1--150 (2015; Zbl 1371.14049); translation from Sovrem. Probl. Mat. 2014, No. 19, 7--173 (2014) Full Text: DOI
Eckl, Thomas; Pukhlikov, Aleksandr On the locus of nonrigid hypersurfaces. (English) Zbl 1327.14191 Cheltsov, Ivan (ed.) et al., Automorphisms in birational and affine geometry. Papers based on the presentations at the conference, Levico Terme, Italy, October 29 – November 3, 2012. Cham: Springer (ISBN 978-3-319-05680-7/hbk; 978-3-319-05681-4/ebook). Springer Proceedings in Mathematics & Statistics 79, 121-139 (2014). MSC: 14J45 14E05 14E07 PDFBibTeX XMLCite \textit{T. Eckl} and \textit{A. Pukhlikov}, Springer Proc. Math. Stat. 79, 121--139 (2014; Zbl 1327.14191) Full Text: DOI arXiv
Cutrone, Joseph W.; Marshburn, Nicholas A. Towards the classification of weak Fano threefolds with \(\rho = 2\). (English) Zbl 1308.14013 Cent. Eur. J. Math. 11, No. 9, 1552-1576 (2013). Reviewer: Zhi Jiang (Paris) MSC: 14E05 14E07 14E30 PDFBibTeX XMLCite \textit{J. W. Cutrone} and \textit{N. A. Marshburn}, Cent. Eur. J. Math. 11, No. 9, 1552--1576 (2013; Zbl 1308.14013) Full Text: DOI arXiv
Pukhlikov, A. V. On the self-intersection of a movable linear system. (English. Russian original) Zbl 1288.14010 J. Math. Sci., New York 164, No. 1, 119-130 (2010); translation from Fundam. Prikl. Mat. 14, No. 6, 177-192 (2008). MSC: 14E30 14C20 14E07 14E08 PDFBibTeX XMLCite \textit{A. V. Pukhlikov}, J. Math. Sci., New York 164, No. 1, 119--130 (2010; Zbl 1288.14010); translation from Fundam. Prikl. Mat. 14, No. 6, 177--192 (2008) Full Text: DOI